Cod sursa(job #3317667)

Utilizator lucaclgluca clg lucaclg Data 24 octombrie 2025 19:56:49
Problema Ciclu Eulerian Scor 0
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.65 kb
#include <iostream>
#include <fstream>
#include <vector>
#include <stack>

using namespace std;

ifstream fin("eulerian.in");
ofstream fout("eulerian.out");

int n, m, u, v, grad[100001], cnt, viz[100001], cnt2;
vector <int> g[100001], sol;
stack <int> st;

void verif(int x)
{
    viz[x] = 1;
    for(int vecin : g[x])
        if(viz[vecin] == 0)
            verif(vecin);
}

void dfs(int x, int tata)
{
    st.push(x);
    if(cnt == n)
    {
        while (!st.empty())
        {
            int node = st.top();
            st.pop();
			sol.push_back(node);
        }
        for(int i = 0; i < sol.size() - 1; i++)
			fout << sol[i] << " " << sol[i + 1] << " ";
	   exit(0);
    }
    for(int vecin : g[x])
        if (grad[vecin] && vecin != tata) {
            grad[x]--;
            grad[vecin]--;
            if (!grad[x])
                cnt++;
            if (!grad[vecin])
                cnt++;

            dfs(vecin, x);
			grad[x]++;
			grad[vecin]++;
            if (grad[x] == 1)
                cnt--;
            if (grad[vecin] == 1)
                cnt--;
        }
    st.pop();
}
int main()
{
    fin >> n >> m;
    for(int i = 1; i <= m; i++)
    {
        fin >> u >> v;
        g[u].push_back(v);
        g[v].push_back(u);
		grad[u]++;
		grad[v]++;
	}
    for(int i = 1; i <= n; i++)
        if(grad[i] % 2 == 1)
        {
            fout << "-1\n";
            return 0;
		}
    for (int i = 1; i <= n; i++){
        if (viz[i] == 0)
            verif(i), cnt2++;
        if(cnt2 > 1)
        {
            fout << "-1\n";
            return 0;
		}
	}
    dfs(1, 0);
	return 0;
}