kilobytes = 55.9070757090314 q = 3 m = 7 n = 1196 s = 0 t = 24 u = 48 k = 860 w = 36 ciphertext = [0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0] recovered_plaintext_using_secret_key = True pubkeycol336 = [0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0] pubkeycol337 = [1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0] pubkeycol338 = [0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0] pubkeycol339 = [1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1] pubkeycol340 = [0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2] pubkeycol341 = [1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2] pubkeycol342 = [0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0] pubkeycol343 = [0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1] pubkeycol344 = [0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2] pubkeycol345 = [2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2] pubkeycol346 = [2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1] pubkeycol347 = [0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2] pubkeycol348 = [1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1] pubkeycol349 = [1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1] pubkeycol350 = [2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1] pubkeycol351 = [1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0] pubkeycol352 = [2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2] pubkeycol353 = [1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2] pubkeycol354 = [0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1] pubkeycol355 = [2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2] pubkeycol356 = [2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1] pubkeycol357 = [1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2] pubkeycol358 = [1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0] pubkeycol359 = [0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1] pubkeycol360 = [2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2] pubkeycol361 = [2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1] pubkeycol362 = [0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1] pubkeycol363 = [2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0] pubkeycol364 = [0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0] pubkeycol365 = [2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0] pubkeycol366 = [0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2] pubkeycol367 = [1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1] pubkeycol368 = [2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2] pubkeycol369 = [0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1] pubkeycol370 = [1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2] pubkeycol371 = [1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1] pubkeycol372 = [1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1] pubkeycol373 = [2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0] pubkeycol374 = [0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1] pubkeycol375 = [2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2] pubkeycol376 = [1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0] pubkeycol377 = [1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0] pubkeycol378 = [0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1] pubkeycol379 = [2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0] pubkeycol380 = [1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0] pubkeycol381 = [2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1] pubkeycol382 = [0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2] pubkeycol383 = [2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1] pubkeycol384 = [0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1] pubkeycol385 = [0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2] pubkeycol386 = [0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1] pubkeycol387 = [0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2] pubkeycol388 = [1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1] pubkeycol389 = [2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0] pubkeycol390 = [2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0] pubkeycol391 = [2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1] pubkeycol392 = [0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1] pubkeycol393 = [0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2] pubkeycol394 = [2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2] pubkeycol395 = [0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0] pubkeycol396 = [0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2] pubkeycol397 = [1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2] pubkeycol398 = [1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2] pubkeycol399 = [1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2] pubkeycol400 = [1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0] pubkeycol401 = [1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0] pubkeycol402 = [0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0] pubkeycol403 = [1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0] pubkeycol404 = [1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1] pubkeycol405 = [2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0] pubkeycol406 = [0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1] pubkeycol407 = [0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2] pubkeycol408 = [1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0] pubkeycol409 = [2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0] pubkeycol410 = [2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2] pubkeycol411 = [2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2] pubkeycol412 = [1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2] pubkeycol413 = [2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1] pubkeycol414 = [1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1] pubkeycol415 = [0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1] pubkeycol416 = [0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1] pubkeycol417 = [2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2] pubkeycol418 = [1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2] pubkeycol419 = [0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1] pubkeycol420 = [0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1] pubkeycol421 = [0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2] pubkeycol422 = [0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0] pubkeycol423 = [1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1] pubkeycol424 = [1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1] pubkeycol425 = [1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0] pubkeycol426 = [0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0] pubkeycol427 = [2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2] pubkeycol428 = [2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0] pubkeycol429 = [0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1] pubkeycol430 = [2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2] pubkeycol431 = [0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1] pubkeycol432 = [2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1] pubkeycol433 = [2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2] pubkeycol434 = [1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0] pubkeycol435 = [0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0] pubkeycol436 = [2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0] pubkeycol437 = [1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2] pubkeycol438 = [0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1] pubkeycol439 = [0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1] pubkeycol440 = [2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2] pubkeycol441 = [1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0] pubkeycol442 = [1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2] pubkeycol443 = [1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0] pubkeycol444 = [1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1] pubkeycol445 = [2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1] pubkeycol446 = [2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2] pubkeycol447 = [1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0] pubkeycol448 = [2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0] pubkeycol449 = [1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0] pubkeycol450 = [1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2] pubkeycol451 = [2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0] pubkeycol452 = [2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1] pubkeycol453 = [1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2] pubkeycol454 = [2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2] pubkeycol455 = [2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0] pubkeycol456 = [2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0] pubkeycol457 = [1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0] pubkeycol458 = [0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2] pubkeycol459 = [2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1] pubkeycol460 = [2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0] pubkeycol461 = [1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2] pubkeycol462 = [2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0] pubkeycol463 = [1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2] pubkeycol464 = [0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0] pubkeycol465 = [0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1] pubkeycol466 = [2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0] pubkeycol467 = [0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1] pubkeycol468 = [0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0] pubkeycol469 = [1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0] pubkeycol470 = [2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1] pubkeycol471 = [2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1] pubkeycol472 = [2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2] pubkeycol473 = [1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2] pubkeycol474 = [1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1] pubkeycol475 = [0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2] pubkeycol476 = [2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2] pubkeycol477 = [1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0] pubkeycol478 = [1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0] pubkeycol479 = [1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0] pubkeycol480 = [0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2] pubkeycol481 = [1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1] pubkeycol482 = [0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1] pubkeycol483 = [2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0] pubkeycol484 = [2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2] pubkeycol485 = [2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2] pubkeycol486 = [0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0] pubkeycol487 = [0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1] pubkeycol488 = [1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0] pubkeycol489 = [0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2] pubkeycol490 = [0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2] pubkeycol491 = [1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1] pubkeycol492 = [0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2] pubkeycol493 = [1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1] pubkeycol494 = [1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2] pubkeycol495 = [2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1] pubkeycol496 = [2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0] pubkeycol497 = [0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2] pubkeycol498 = [1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2] pubkeycol499 = [2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1] pubkeycol500 = [1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1] pubkeycol501 = [2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1] pubkeycol502 = [1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1] pubkeycol503 = [0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1] pubkeycol504 = [0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2] pubkeycol505 = [1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1] pubkeycol506 = [0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1] pubkeycol507 = [2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0] pubkeycol508 = [0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2] pubkeycol509 = [0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2] pubkeycol510 = [0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2] pubkeycol511 = [0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2] pubkeycol512 = [1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2] pubkeycol513 = [1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0] pubkeycol514 = [2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0] pubkeycol515 = [0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2] pubkeycol516 = [1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2] pubkeycol517 = [1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2] pubkeycol518 = [2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2] pubkeycol519 = [0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1] pubkeycol520 = [0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0] pubkeycol521 = [0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1] pubkeycol522 = [2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1] pubkeycol523 = [0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0] pubkeycol524 = [0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2] pubkeycol525 = [0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0] pubkeycol526 = [2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1] pubkeycol527 = [1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0] pubkeycol528 = [2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0] pubkeycol529 = [0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1] pubkeycol530 = [1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2] pubkeycol531 = [0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2] pubkeycol532 = [2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0] pubkeycol533 = [1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0] pubkeycol534 = [1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1] pubkeycol535 = [1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1] pubkeycol536 = [2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2] pubkeycol537 = [0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1] pubkeycol538 = [2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2] pubkeycol539 = [2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1] pubkeycol540 = [1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2] pubkeycol541 = [2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1] pubkeycol542 = [2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1] pubkeycol543 = [1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2] pubkeycol544 = [2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1] pubkeycol545 = [0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1] pubkeycol546 = [2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0] pubkeycol547 = [1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0] pubkeycol548 = [2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1] pubkeycol549 = [1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1] pubkeycol550 = [1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0] pubkeycol551 = [2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2] pubkeycol552 = [0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2] pubkeycol553 = [2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1] pubkeycol554 = [2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1] pubkeycol555 = [0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2] pubkeycol556 = [2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0] pubkeycol557 = [2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1] pubkeycol558 = [1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0] pubkeycol559 = [0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1] pubkeycol560 = [2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2] pubkeycol561 = [1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0] pubkeycol562 = [0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1] pubkeycol563 = [1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2] pubkeycol564 = [1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0] pubkeycol565 = [1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1] pubkeycol566 = [0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0] pubkeycol567 = [1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2] pubkeycol568 = [0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1] pubkeycol569 = [1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0] pubkeycol570 = [1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2] pubkeycol571 = [1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1] pubkeycol572 = [1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1] pubkeycol573 = [2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1] pubkeycol574 = [0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2] pubkeycol575 = [2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0] pubkeycol576 = [2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1] pubkeycol577 = [0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0] pubkeycol578 = [0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0] pubkeycol579 = [0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0] pubkeycol580 = [1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1] pubkeycol581 = [1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0] pubkeycol582 = [0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0] pubkeycol583 = [0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1] pubkeycol584 = [2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1] pubkeycol585 = [2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0] pubkeycol586 = [0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2] pubkeycol587 = [0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0] pubkeycol588 = [0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2] pubkeycol589 = [1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0] pubkeycol590 = [0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1] pubkeycol591 = [2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1] pubkeycol592 = [2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1] pubkeycol593 = [0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2] pubkeycol594 = [1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1] pubkeycol595 = [2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0] pubkeycol596 = [2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0] pubkeycol597 = [1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2] pubkeycol598 = [2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1] pubkeycol599 = [0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0] pubkeycol600 = [1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0] pubkeycol601 = [1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1] pubkeycol602 = [1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1] pubkeycol603 = [1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2] pubkeycol604 = [1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1] pubkeycol605 = [0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2] pubkeycol606 = [1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1] pubkeycol607 = [1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2] pubkeycol608 = [0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1] pubkeycol609 = [1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0] pubkeycol610 = [0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2] pubkeycol611 = [0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2] pubkeycol612 = [2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1] pubkeycol613 = [2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0] pubkeycol614 = [1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1] pubkeycol615 = [2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2] pubkeycol616 = [0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1] pubkeycol617 = [2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2] pubkeycol618 = [1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1] pubkeycol619 = [0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0] pubkeycol620 = [1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0] pubkeycol621 = [2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1] pubkeycol622 = [2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2] pubkeycol623 = [0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0] pubkeycol624 = [0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1] pubkeycol625 = [1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1] pubkeycol626 = [0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2] pubkeycol627 = [0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2] pubkeycol628 = [0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2] pubkeycol629 = [0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2] pubkeycol630 = [1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0] pubkeycol631 = [0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1] pubkeycol632 = [2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0] pubkeycol633 = [1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1] pubkeycol634 = [0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2] pubkeycol635 = [2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2] pubkeycol636 = [0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1] pubkeycol637 = [1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2] pubkeycol638 = [0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1] pubkeycol639 = [1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0] pubkeycol640 = [2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0] pubkeycol641 = [1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0] pubkeycol642 = [0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1] pubkeycol643 = [1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0] pubkeycol644 = [0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2] pubkeycol645 = [0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1] pubkeycol646 = [0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2] pubkeycol647 = [1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2] pubkeycol648 = [1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1] pubkeycol649 = [2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0] pubkeycol650 = [2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2] pubkeycol651 = [2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1] pubkeycol652 = [2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2] pubkeycol653 = [1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2] pubkeycol654 = [1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2] pubkeycol655 = [2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1] pubkeycol656 = [1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1] pubkeycol657 = [1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2] pubkeycol658 = [2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2] pubkeycol659 = [0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1] pubkeycol660 = [0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1] pubkeycol661 = [1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2] pubkeycol662 = [2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1] pubkeycol663 = [0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2] pubkeycol664 = [0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0] pubkeycol665 = [0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0] pubkeycol666 = [2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0] pubkeycol667 = [1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2] pubkeycol668 = [2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1] pubkeycol669 = [2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1] pubkeycol670 = [2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0] pubkeycol671 = [2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0] pubkeycol672 = [0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2] pubkeycol673 = [2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1] pubkeycol674 = [1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2] pubkeycol675 = [0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2] pubkeycol676 = [1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0] pubkeycol677 = [0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2] pubkeycol678 = [0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0] pubkeycol679 = [1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2] pubkeycol680 = [0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1] pubkeycol681 = [0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2] pubkeycol682 = [1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1] pubkeycol683 = [1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2] pubkeycol684 = [2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0] pubkeycol685 = [2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0] pubkeycol686 = [2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0] pubkeycol687 = [2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1] pubkeycol688 = [2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1] pubkeycol689 = [0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0] pubkeycol690 = [1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0] pubkeycol691 = [2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1] pubkeycol692 = [2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1] pubkeycol693 = [1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2] pubkeycol694 = [2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2] pubkeycol695 = [0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0] pubkeycol696 = [1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1] pubkeycol697 = [0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2] pubkeycol698 = [0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1] pubkeycol699 = [2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0] pubkeycol700 = [2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2] pubkeycol701 = [2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1] pubkeycol702 = [2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1] pubkeycol703 = [2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0] pubkeycol704 = [0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0] pubkeycol705 = [0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1] pubkeycol706 = [0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0] pubkeycol707 = [0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2] pubkeycol708 = [0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2] pubkeycol709 = [0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0] pubkeycol710 = [0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2] pubkeycol711 = [1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1] pubkeycol712 = [1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1] pubkeycol713 = [0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1] pubkeycol714 = [1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2] pubkeycol715 = [2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2] pubkeycol716 = [1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1] pubkeycol717 = [1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2] pubkeycol718 = [1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1] pubkeycol719 = [1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1] pubkeycol720 = [2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0] pubkeycol721 = [0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2] pubkeycol722 = [2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0] pubkeycol723 = [2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0] pubkeycol724 = [0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0] pubkeycol725 = [1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2] pubkeycol726 = [2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1] pubkeycol727 = [0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0] pubkeycol728 = [0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1] pubkeycol729 = [2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0] pubkeycol730 = [1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1] pubkeycol731 = [2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2] pubkeycol732 = [1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2] pubkeycol733 = [2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1] pubkeycol734 = [1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2] pubkeycol735 = [1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1] pubkeycol736 = [1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2] pubkeycol737 = [1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1] pubkeycol738 = [2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2] pubkeycol739 = [2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0] pubkeycol740 = [2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0] pubkeycol741 = [1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2] pubkeycol742 = [1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1] pubkeycol743 = [2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2] pubkeycol744 = [2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1] pubkeycol745 = [1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0] pubkeycol746 = [1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1] pubkeycol747 = [1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0] pubkeycol748 = [2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1] pubkeycol749 = [2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2] pubkeycol750 = [1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2] pubkeycol751 = [1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2] pubkeycol752 = [2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1] pubkeycol753 = [1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0] pubkeycol754 = [2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1] pubkeycol755 = [1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2] pubkeycol756 = [2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1] pubkeycol757 = [0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1] pubkeycol758 = [2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2] pubkeycol759 = [1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0] pubkeycol760 = [2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1] pubkeycol761 = [2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1] pubkeycol762 = [2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2] pubkeycol763 = [2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0] pubkeycol764 = [1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2] pubkeycol765 = [0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2] pubkeycol766 = [1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0] pubkeycol767 = [1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1] pubkeycol768 = [1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1] pubkeycol769 = [1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1] pubkeycol770 = [2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1] pubkeycol771 = [0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1] pubkeycol772 = [1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1] pubkeycol773 = [1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2] pubkeycol774 = [1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0] pubkeycol775 = [1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2] pubkeycol776 = [0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1] pubkeycol777 = [0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0] pubkeycol778 = [1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1] pubkeycol779 = [2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0] pubkeycol780 = [1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2] pubkeycol781 = [1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2] pubkeycol782 = [2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1] pubkeycol783 = [2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0] pubkeycol784 = [1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0] pubkeycol785 = [0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0] pubkeycol786 = [1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0] pubkeycol787 = [0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0] pubkeycol788 = [0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2] pubkeycol789 = [1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1] pubkeycol790 = [1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2] pubkeycol791 = [0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1] pubkeycol792 = [1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2] pubkeycol793 = [1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1] pubkeycol794 = [0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0] pubkeycol795 = [0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2] pubkeycol796 = [1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1] pubkeycol797 = [1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2] pubkeycol798 = [0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2] pubkeycol799 = [1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2] pubkeycol800 = [2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2] pubkeycol801 = [0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2] pubkeycol802 = [2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0] pubkeycol803 = [2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2] pubkeycol804 = [2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2] pubkeycol805 = [2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2] pubkeycol806 = [2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0] pubkeycol807 = [0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2] pubkeycol808 = [1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1] pubkeycol809 = [2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0] pubkeycol810 = [1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1] pubkeycol811 = [1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1] pubkeycol812 = [2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2] pubkeycol813 = [2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0] pubkeycol814 = [0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2] pubkeycol815 = [2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1] pubkeycol816 = [0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2] pubkeycol817 = [0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0] pubkeycol818 = [0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2] pubkeycol819 = [2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1] pubkeycol820 = [0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1] pubkeycol821 = [0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1] pubkeycol822 = [2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2] pubkeycol823 = [0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2] pubkeycol824 = [2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1] pubkeycol825 = [0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2] pubkeycol826 = [2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2] pubkeycol827 = [0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2] pubkeycol828 = [2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1] pubkeycol829 = [0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1] pubkeycol830 = [0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2] pubkeycol831 = [1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2] pubkeycol832 = [2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2] pubkeycol833 = [0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1] pubkeycol834 = [2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2] pubkeycol835 = [2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1] pubkeycol836 = [0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2] pubkeycol837 = [1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2] pubkeycol838 = [0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2] pubkeycol839 = [0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0] pubkeycol840 = [2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2] pubkeycol841 = [2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0] pubkeycol842 = [1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1] pubkeycol843 = [1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0] pubkeycol844 = [2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2] pubkeycol845 = [1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2] pubkeycol846 = [0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2] pubkeycol847 = [1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0] pubkeycol848 = [0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0] pubkeycol849 = [2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2] pubkeycol850 = [1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2] pubkeycol851 = [2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1] pubkeycol852 = [2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0] pubkeycol853 = [1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1] pubkeycol854 = [0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0] pubkeycol855 = [1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1] pubkeycol856 = [0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1] pubkeycol857 = [1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1] pubkeycol858 = [0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0] pubkeycol859 = [2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1] pubkeycol860 = [0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0] pubkeycol861 = [0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0] pubkeycol862 = [1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1] pubkeycol863 = [0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0] pubkeycol864 = [0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0] pubkeycol865 = [0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0] pubkeycol866 = [0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0] pubkeycol867 = [0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0] pubkeycol868 = [0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2] pubkeycol869 = [0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2] pubkeycol870 = [2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2] pubkeycol871 = [0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2] pubkeycol872 = [1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1] pubkeycol873 = [2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0] pubkeycol874 = [2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0] pubkeycol875 = [1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2] pubkeycol876 = [2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0] pubkeycol877 = [2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1] pubkeycol878 = [2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1] pubkeycol879 = [1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2] pubkeycol880 = [2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0] pubkeycol881 = [1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1] pubkeycol882 = [2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0] pubkeycol883 = [2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0] pubkeycol884 = [2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0] pubkeycol885 = [0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0] pubkeycol886 = [2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2] pubkeycol887 = [2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2] pubkeycol888 = [0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2] pubkeycol889 = [2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2] pubkeycol890 = [1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1] pubkeycol891 = [1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1] pubkeycol892 = [1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1] pubkeycol893 = [0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1] pubkeycol894 = [1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1] pubkeycol895 = [1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2] pubkeycol896 = [1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1] pubkeycol897 = [2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0] pubkeycol898 = [1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0] pubkeycol899 = [0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1] pubkeycol900 = [2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0] pubkeycol901 = [0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1] pubkeycol902 = [2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0] pubkeycol903 = [0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0] pubkeycol904 = [1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1] pubkeycol905 = [0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0] pubkeycol906 = [0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0] pubkeycol907 = [0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1] pubkeycol908 = [0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1] pubkeycol909 = [2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2] pubkeycol910 = [1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1] pubkeycol911 = [0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1] pubkeycol912 = [0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2] pubkeycol913 = [0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2] pubkeycol914 = [0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2] pubkeycol915 = [0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0] pubkeycol916 = [0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0] pubkeycol917 = [2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0] pubkeycol918 = [1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0] pubkeycol919 = [0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2] pubkeycol920 = [1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2] pubkeycol921 = [1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1] pubkeycol922 = [0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1] pubkeycol923 = [2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1] pubkeycol924 = [2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2] pubkeycol925 = [2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1] pubkeycol926 = [0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2] pubkeycol927 = [1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2] pubkeycol928 = [0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2] pubkeycol929 = [2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0] pubkeycol930 = [2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1] pubkeycol931 = [0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0] pubkeycol932 = [1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0] pubkeycol933 = [2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2] pubkeycol934 = [0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1] pubkeycol935 = [1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2] pubkeycol936 = [0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1] pubkeycol937 = [1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2] pubkeycol938 = [1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1] pubkeycol939 = [0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2] pubkeycol940 = [0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2] pubkeycol941 = [2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2] pubkeycol942 = [2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0] pubkeycol943 = [2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1] pubkeycol944 = [0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2] pubkeycol945 = [1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0] pubkeycol946 = [0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1] pubkeycol947 = [0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0] pubkeycol948 = [2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0] pubkeycol949 = [2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2] pubkeycol950 = [0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1] pubkeycol951 = [0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0] pubkeycol952 = [1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1] pubkeycol953 = [2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0] pubkeycol954 = [0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1] pubkeycol955 = [1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1] pubkeycol956 = [0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1] pubkeycol957 = [0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2] pubkeycol958 = [0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1] pubkeycol959 = [2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1] pubkeycol960 = [2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0] pubkeycol961 = [0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2] pubkeycol962 = [2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2] pubkeycol963 = [1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0] pubkeycol964 = [1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2] pubkeycol965 = [2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0] pubkeycol966 = [1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0] pubkeycol967 = [2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2] pubkeycol968 = [2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2] pubkeycol969 = [0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1] pubkeycol970 = [1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0] pubkeycol971 = [1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2] pubkeycol972 = [1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2] pubkeycol973 = [0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0] pubkeycol974 = [2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1] pubkeycol975 = [1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0] pubkeycol976 = [0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2] pubkeycol977 = [0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0] pubkeycol978 = [2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2] pubkeycol979 = [1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2] pubkeycol980 = [2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1] pubkeycol981 = [0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0] pubkeycol982 = [1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1] pubkeycol983 = [2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1] pubkeycol984 = [1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1] pubkeycol985 = [0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0] pubkeycol986 = [2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1] pubkeycol987 = [1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0] pubkeycol988 = [0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0] pubkeycol989 = [0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0] pubkeycol990 = [0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1] pubkeycol991 = [0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1] pubkeycol992 = [0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2] pubkeycol993 = [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0] pubkeycol994 = [0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2] pubkeycol995 = [2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0] pubkeycol996 = [0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1] pubkeycol997 = [2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2] pubkeycol998 = [1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1] pubkeycol999 = [2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2] pubkeycol1000 = [1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1] pubkeycol1001 = [1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1] pubkeycol1002 = [2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0] pubkeycol1003 = [1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0] pubkeycol1004 = [1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0] pubkeycol1005 = [2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1] pubkeycol1006 = [0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1] pubkeycol1007 = [1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2] pubkeycol1008 = [1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2] pubkeycol1009 = [0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0] pubkeycol1010 = [0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2] pubkeycol1011 = [0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2] pubkeycol1012 = [2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0] pubkeycol1013 = [2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0] pubkeycol1014 = [1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0] pubkeycol1015 = [0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1] pubkeycol1016 = [2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2] pubkeycol1017 = [2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0] pubkeycol1018 = [0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2] pubkeycol1019 = [0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2] pubkeycol1020 = [2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2] pubkeycol1021 = [1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0] pubkeycol1022 = [0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1] pubkeycol1023 = [0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0] pubkeycol1024 = [1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2] pubkeycol1025 = [1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2] pubkeycol1026 = [2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0] pubkeycol1027 = [2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1] pubkeycol1028 = [1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1] pubkeycol1029 = [1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2] pubkeycol1030 = [1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1] pubkeycol1031 = [0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1] pubkeycol1032 = [1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2] pubkeycol1033 = [2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0] pubkeycol1034 = [0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1] pubkeycol1035 = [0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0] pubkeycol1036 = [2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0] pubkeycol1037 = [2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1] pubkeycol1038 = [2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0] pubkeycol1039 = [0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0] pubkeycol1040 = [0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1] pubkeycol1041 = [2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2] pubkeycol1042 = [2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0] pubkeycol1043 = [0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0] pubkeycol1044 = [0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2] pubkeycol1045 = [1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0] pubkeycol1046 = [0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2] pubkeycol1047 = [2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0] pubkeycol1048 = [2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2] pubkeycol1049 = [1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1] pubkeycol1050 = [0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0] pubkeycol1051 = [0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2] pubkeycol1052 = [1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2] pubkeycol1053 = [1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0] pubkeycol1054 = [1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1] pubkeycol1055 = [1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1] pubkeycol1056 = [0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2] pubkeycol1057 = [1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1] pubkeycol1058 = [1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0] pubkeycol1059 = [1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0] pubkeycol1060 = [2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1] pubkeycol1061 = [2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0] pubkeycol1062 = [0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2] pubkeycol1063 = [0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0] pubkeycol1064 = [2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2] pubkeycol1065 = [0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0] pubkeycol1066 = [0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1] pubkeycol1067 = [0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1] pubkeycol1068 = [1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2] pubkeycol1069 = [1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0] pubkeycol1070 = [2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2] pubkeycol1071 = [2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1] pubkeycol1072 = [2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2] pubkeycol1073 = [0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1] pubkeycol1074 = [1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1] pubkeycol1075 = [0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2] pubkeycol1076 = [2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2] pubkeycol1077 = [0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1] pubkeycol1078 = [0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1] pubkeycol1079 = [1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1] pubkeycol1080 = [1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0] pubkeycol1081 = [2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1] pubkeycol1082 = [2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0] pubkeycol1083 = [1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0] pubkeycol1084 = [2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1] pubkeycol1085 = [0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1] pubkeycol1086 = [2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2] pubkeycol1087 = [0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0] pubkeycol1088 = [0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2] pubkeycol1089 = [0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2] pubkeycol1090 = [2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1] pubkeycol1091 = [0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2] pubkeycol1092 = [0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0] pubkeycol1093 = [0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0] pubkeycol1094 = [1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0] pubkeycol1095 = [1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2] pubkeycol1096 = [2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1] pubkeycol1097 = [0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1] pubkeycol1098 = [0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2] pubkeycol1099 = [1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1] pubkeycol1100 = [2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2] pubkeycol1101 = [1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2] pubkeycol1102 = [2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0] pubkeycol1103 = [2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1] pubkeycol1104 = [2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0] pubkeycol1105 = [2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2] pubkeycol1106 = [0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1] pubkeycol1107 = [0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2] pubkeycol1108 = [2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2] pubkeycol1109 = [0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0] pubkeycol1110 = [0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1] pubkeycol1111 = [1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2] pubkeycol1112 = [0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2] pubkeycol1113 = [1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2] pubkeycol1114 = [0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0] pubkeycol1115 = [0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1] pubkeycol1116 = [2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0] pubkeycol1117 = [0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0] pubkeycol1118 = [2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0] pubkeycol1119 = [2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1] pubkeycol1120 = [2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2] pubkeycol1121 = [1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0] pubkeycol1122 = [0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2] pubkeycol1123 = [2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1] pubkeycol1124 = [0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2] pubkeycol1125 = [1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0] pubkeycol1126 = [0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2] pubkeycol1127 = [2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1] pubkeycol1128 = [2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2] pubkeycol1129 = [0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1] pubkeycol1130 = [2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0] pubkeycol1131 = [1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0] pubkeycol1132 = [0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2] pubkeycol1133 = [1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2] pubkeycol1134 = [2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0] pubkeycol1135 = [0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1] pubkeycol1136 = [0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2] pubkeycol1137 = [1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1] pubkeycol1138 = [0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2] pubkeycol1139 = [2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1] pubkeycol1140 = [2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1] pubkeycol1141 = [0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1] pubkeycol1142 = [0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2] pubkeycol1143 = [2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2] pubkeycol1144 = [1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1] pubkeycol1145 = [0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1] pubkeycol1146 = [2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1] pubkeycol1147 = [1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2] pubkeycol1148 = [0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0] pubkeycol1149 = [1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2] pubkeycol1150 = [1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0] pubkeycol1151 = [1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1] pubkeycol1152 = [0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0] pubkeycol1153 = [0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1] pubkeycol1154 = [0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0] pubkeycol1155 = [1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0] pubkeycol1156 = [2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2] pubkeycol1157 = [0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0] pubkeycol1158 = [0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2] pubkeycol1159 = [0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0] pubkeycol1160 = [1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0] pubkeycol1161 = [2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0] pubkeycol1162 = [1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2] pubkeycol1163 = [1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0] pubkeycol1164 = [1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0] pubkeycol1165 = [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2] pubkeycol1166 = [1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2] pubkeycol1167 = [2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0] pubkeycol1168 = [2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2] pubkeycol1169 = [1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0] pubkeycol1170 = [2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1] pubkeycol1171 = [2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1] pubkeycol1172 = [1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2] pubkeycol1173 = [1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0] pubkeycol1174 = [0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1] pubkeycol1175 = [2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2] pubkeycol1176 = [1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0] pubkeycol1177 = [2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1] pubkeycol1178 = [1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1] pubkeycol1179 = [0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1] pubkeycol1180 = [1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2] pubkeycol1181 = [2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0] pubkeycol1182 = [1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2] pubkeycol1183 = [2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2] pubkeycol1184 = [0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2] pubkeycol1185 = [2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2] pubkeycol1186 = [1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2] pubkeycol1187 = [0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1] pubkeycol1188 = [2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1] pubkeycol1189 = [0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1] pubkeycol1190 = [2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1] pubkeycol1191 = [1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2] pubkeycol1192 = [2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2] pubkeycol1193 = [0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0] pubkeycol1194 = [2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0] pubkeycol1195 = [0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1]