A1126 Eulerian Path [欧拉图]

在这里插入图片描述

欧拉图 节点度为0或2 半欧拉两个结点度为奇数,其他偶数。 同时要保证其为连通图(任意两个结点能走到)

#include<iostream>
#include<vector>
#include<map>
#include<string>
#include<cstring>
#include<cstdio>
#include<algorithm>
#include<set>
using namespace std;
const int maxn = 501;
vector<int>v[maxn];
bool visit[maxn];
int cnt = 0;
void dfs(int index)
{
	visit[index] = true;
	cnt++;
	for (int i = 0; i < v[index].size(); i++)
	{
		if (visit[v[index][i]] == false)
			dfs(v[index][i]);
	}
}
int main()
{
	int n, m, a, b, even = 0;
	cin >> n >> m;
	for (int i = 0; i < m; i++)
	{
		cin >> a >> b;
		v[a].push_back(b);
		v[b].push_back(a);
	}
	for (int i = 1; i <= n; i++)
	{
		if (i!=1) cout << " ";
		cout << v[i].size();
		if (v[i].size() % 2 == 0) even++;
	}
	cout << endl;
	dfs(1);
	if (even == n && cnt == n)
		cout << "Eulerian" << endl;
	else if (even == n - 2 && cnt == n)
		printf("Semi-Eulerian");
	else
		printf("Non-Eulerian");
	return 0;

}
posted @ 2020-08-11 21:13  _Hsiung  阅读(97)  评论(0编辑  收藏  举报