Today HH becomes a designer, and he faces a problem so he asks you for help.
Treeisland is a country with n cities and n−1 two-way road and from any city you can go to any other cities.
HH the designer is going to design a plan to divide n city into n/2 pairs so that the sum of the length between the n/2 pairs city is minimum.
Now HH has finished it but he doesn't know whether it's true so he ask you to calculate it together.
It's guaranteed that n is even.