P11231 [AOJ] DAG Trio (Easy)
普及
题目描述

This issue is the same configuration issue as G: DAG Trio (Hard), with only the constraints being different.

input

$N \ M$
$a_1 \ b_1$
$a_2 \ b_2$
$\$
$a_M \ b_M$

output

Print "YES" or "NO" on the $ 1 $ line.

Example

Input

3 3
1 2
2 3
3 1

Output

YES

输入格式

见题面

输出格式

见题面

样例输入
3 3 1 2 2 3 3 1
样例输出
YES