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#include <bits/stdc++.h>
#include <fstream>
using namespace std;
const int NMAX = 100000;
const int MMAX = 500000;
vector<pair<int, int>> G[NMAX + 1]; // lista de adiancenta + indexul muchii
bool viz[NMAX + 1]; // marcheaza daca am vizitat o muchie sau nu
int N, M;
ofstream g("ciclueuler.out");
void ReadInput() {
ifstream f("ciclueuler.in");
f >> N >> M;
for (int i = 1; i <= M; i++) {
int x, y;
f >> x >> y;
G[x].push_back({y, i});
G[y].push_back({x, i});
}
f.close();
}
vector<int> ciclu_eulerian;
void dfs(int nod) {
// Algoritmul lui Fleury
while (G[nod].size() > 0) {
pair<int, int> muchie = G[nod].back();
G[nod].pop_back(); // setergem ultima muchie
int nod_vecin = muchie.first;
int ind_muchie = muchie.second;
if (viz[ind_muchie])
continue;
viz[ind_muchie] = 1;
dfs(nod_vecin);
ciclu_eulerian.push_back(nod_vecin);
}
}
void FindEulerCycle() {
for (int i = 1; i <= M; i++)
viz[i] = 0; // nici o muchie nu e vizitata
ciclu_eulerian.clear();
dfs(1);
for (int i = 1; i <= M; i++)
if (!viz[i]) {
g << -1 << '\n';
return;
}
reverse(ciclu_eulerian.begin(), ciclu_eulerian.end());
for (int i = 0; i < ciclu_eulerian.size(); i++)
g << ciclu_eulerian[i] << ' ';
}
int main() {
ReadInput();
// Determinam daca graful G este Eulerian -> verificam daca nodurile au grad par
for (int i = 1; i <= N; i++)
if (G[i].size() % 2 != 0) {
// nod cu grad impar
g << -1 << '\n';
exit(0);
}
FindEulerCycle();
return 0;
}