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#F2494. Greedy Petya

    ID: 2500 传统题 2000ms 256MiB 尝试: 0 已通过: 0 难度: 9 上传者: 标签>搜索图论贪心算法思想挑战难度共享题库Codeforces英文题面题目来源题面语言

Greedy Petya

题目描述

F. Greedy Petya
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

Petya is an unexperienced programming contestant. Recently he has come across the following problem:

You are given a non-directed graph which consists of n nodes and m edges. Your task is to determine whether the graph contains a Hamiltonian path.

Petya wrote a quick bug-free code which he believes solves this problem. After that Petya decided to give this problem for April Fools Day contest. Unfortunately, Petya might have made a mistake, and it's quite possible that his algorithm is wrong. But this isn't a good excuse to leave the contest without submitting this problem, is it?

Input

The first line contains two integers n,m (1≤n≤20;0≤m≤400). Next m lines contain pairs of integers vi,ui (1≤vi,uin).

Output

Follow the format of Petya's code output.

Examples
Input
2 3
1 2
2 1
1 1
Output
Yes
Input
3 0
Output
No
Input
10 20
3 10
4 6
4 9
7 5
8 8
3 10
9 7
5 2
9 2
10 6
10 4
1 1
7 2
8 4
7 2
1 8
5 4
10 2
8 5
5 2
Output
No

题目来源:fps-www.educg.net-codeforce-1-2833.xml.zip;FPS 共享题包,题包内第 2129 题。保留原作者与原赛事署名。