Before revision:  In particular, we find that when this rate is controlled in a certain range , the two goals can be achieved to \sqrt{n \log n}, the mechanism can be AEABB and AE } at the same time asymptotically.
After revision:  In particular, using the multivariate Berry-Esseen theorem, our results demonstrate that when this rate is controlled in a certain range , the two goals can be achieved to \sqrt{n \log n}, the mechanism can be AEABB and AE } at the same time asymptotically.