Time Limit: 1000 mSec
Memory Limit: 32768 KB
Bob enjoys playing computer games, especially strategic games, but sometimes he
cannot find the solution fast enough and then he is very sad. Now he has the
following problem. He must defend a medieval city, the roads of which form a
tree. He has to put the minimum number of soldiers on the nodes so that they
can observe all the edges. Can you help him?
Your program should find the minimum number of soldiers that Bob has to put for a given tree.
The input file contains several data sets in text format. Each data set represents a tree with the following description: