containing n = 5 10

We thank all reviewers for their comments, and will incorporate suggestions in the final version. We compare the proposed algorithms with baseline algorithms on the U.S. 2000 Census Data All algorithms are implemented in Python 3.7. We also calculate the optimal solution to verify the approximation ratio. See Table 1 in our submission for definitions. In both datasets, our algorithm outperforms both baseline algorithms by a significant margin, and achieves the best accuracy in almost all settings.