PT07X  Vertex Cover
You are given an unweighted, undirected tree. Write a program to find a vertex set of minimum size in this tree such that each edge has as least one of its endpoints in that set.
Input
The first line of the input file contains one integer N  number of nodes in the tree (0 < N <= 100000). Next N1 lines contain N1 edges of that tree  Each line contains a pair (u, v) means there is an edge between node u and node v (1 <= u,v <= N).
Output
Print number of nodes in the satisfied vertex set on one line.
Example 1
Input: 3 1 2 1 3 Output: 1 Explanation: The set can be {1}
Example 2
Input: 3 1 2 2 3 Output: 1 Explanation: The set can be {2}
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Sudharsansai:
20150308 11:29:22
Those who have solved, can try http://www.spoj.com/problems/VOCV/

Added by:  ThanhVy Hua 
Date:  20070328 
Time limit:  1s3s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ERL JSRHINO NODEJS PERL6 VB.NET 
Resource:  Coauthor Amber 