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 end-points 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 N-1 lines contain N-1 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
https://www.spoj.com/problems/PT07X/
PT07X - Vertex Cover
tree
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 end-points 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 N-1 lines contain N-1 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}