PT07Y - Is it a tree

You are given an unweighted, undirected graph. Write a program to check if it's a tree topology.

Input

The first line of the input file contains two integers N and M --- number of nodes and number of edges in the graph (0 < N <= 10000, 0 <= M <= 20000). Next M lines contain M edges of that graph --- Each line contains a pair (u, v) means there is an edge between node u and node v (1 <= u, v <= N).

Output

Print YES if the given graph is a tree, otherwise print NO.

Example

Input:
3 2
1 2
2 3

Output:
YES

Added by:Thanh-Vy Hua
Date:2007-03-28
Time limit:0.5s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ERL JS-RHINO
Resource:Co-author Amber

hide comments
2018-04-01 05:38:46
AC in one go ! Only DFS 0.00sec
2018-03-28 18:34:38 sanjeev
solve it with dsu algorithm, you will get to know few things.
2018-03-19 06:57:59
Solved using BFS. Conditions to keep in mind are that n==m-1 for a tree. And whenever this holds true all the nodes must be connected so simply bfs :)
2018-02-04 05:35:59
DSU yolo
2018-02-01 15:35:12
0.01 ac!! :)
2018-01-29 02:54:21
Killed in one go ! Disjoint Set all the way !
2018-01-23 20:06:24
SPOILER:

dsu is much easier then dfs smh
2018-01-20 18:53:07
Keep in mind a tree must have n-1 edges & all the node will be connected.
2018-01-15 14:30:56
AC in one go... just check for cycles and whether each and every vertex is visited during DFS
2017-12-27 20:43:22
Adjacency list and dfs would work
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