Cod sursa(job #3265916)

Utilizator AndreiNicolaescuEric Paturan AndreiNicolaescu Data 4 ianuarie 2025 10:44:01
Problema Ciclu Eulerian Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.33 kb
#include <bits/stdc++.h>
#define cin ci
#define cout co
using namespace std;
ifstream cin("ciclueuler.in");
ofstream cout("ciclueuler.out");
vector<vector<pair<int, int>>> edges;
vector<int> viz, used, ans;
int n, m, x, y;
void dfs(int node)
{
    used[node] = 1;
    for(auto next:edges[node])
        if(!used[next.first])
            dfs(next.first);
}
bool iseuler()
{
    dfs(1);
    for(int i=1; i<=n; i++)
        if(!used[i])
            return 0;
    for(int i=1; i<=n; i++)
        if(edges[i].size() % 2)
            return 0;
    return 1;
}
void dfseuler(int node)
{
    while(!edges[node].empty())
    {
        auto &[next, edge] = edges[node].back();
        edges[node].pop_back();
        if(!viz[edge])
        {
            viz[edge] = 1;
            dfseuler(next);
        }
    }
    ans.push_back(node);
}
int main()
{
    cin >> n >> m;
    edges.assign(n+1, vector<pair<int, int>>());
    viz.resize(m+1);
    used.resize(n+1);
    for(int i=1; i<=m; i++)
    {
        cin >> x >> y;
        edges[x].push_back({y, i});
        edges[y].push_back({x, i});
    }
    if(iseuler())
    {
        dfseuler(1);
        reverse(ans.begin(), ans.end());
        for(int i=0; i<ans.size(); i++)
            cout << ans[i] << " ";
    }
    else
        cout << "-1";
    return 0;
}