Can Reach All NodesMedium

Can Reach All Nodes

MediumPractice library · +20 XPgraphsbfsdfs

Given a directed graph with N nodes and M edges, determine if it's possible to reach every node starting from node 1. If it is, print 'YES'. Otherwise, print 'NO'.

Input

The first line contains two integers N and M (1 <= N <= 200000, 0 <= M <= 200000). The next M lines each contain two integers u and v, representing a directed edge from node u to node v (1 <= u, v <= N).

Output

Print 'YES' if all nodes are reachable from node 1, and 'NO' otherwise.

Constraints

1 <= N <= 200000 0 <= M <= 200000

Time limit 1 s (native code; slower languages get more)Memory 256 MB14 hidden tests

Example 1

Input
5 4
1 2
1 3
2 4
3 5
Output
YES

All nodes 2, 3, 4, 5 are reachable from node 1.

Example 2

Input
4 3
1 2
2 3
4 1
Output
NO

Node 4 is not reachable from node 1.

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