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#include <bits/stdc++.h>
using namespace std;
//https://www.geeksforgeeks.org/eulerian-path-and-circuit/
int N, M;
vector<vector<int>> citireLisAdiacenta()
{
ifstream fin("ciclueuler.in");
vector<vector<int>> lisAdiacenta;
fin >> N >> M;
lisAdiacenta.resize(N+1);
for (int i = 1; i <= M; ++i) {
int x, y;
fin >> x >> y;
lisAdiacenta[x].push_back(y);
lisAdiacenta[y].push_back(x);
}
return lisAdiacenta;
}
vector<vector<pair<int, int>>> lisAdiacIndexMuchii(vector<vector<int>> &lisAdiacenta)
{
vector<vector<pair<int, int>>> graf(lisAdiacenta.size());
for(int i = 1; i < lisAdiacenta.size(); ++i) {
for(int j = 0; j < lisAdiacenta[i].size(); ++j) {
graf[i].push_back({-1, lisAdiacenta[i][j]});
}
}
int nr = 1;
for(int i = 1; i < lisAdiacenta.size(); ++i) {
for(int j = 0; j < lisAdiacenta[i].size(); ++j) {
if(graf[i][j].first == -1) {
graf[i][j].first = nr;
for(int k = 0; k < lisAdiacenta[lisAdiacenta[i][j]].size(); ++k) {
if (lisAdiacenta[lisAdiacenta[i][j]][k] == i && graf[lisAdiacenta[i][j]][k].first == -1) {
graf[lisAdiacenta[i][j]][k].first = nr;
break;
}
}
nr++;
}
}
}
return graf;
}
vector<int> cicluEuler(vector<vector<pair<int, int>>> &lisAdiacenta)
{
vector<int> ciclu;
vector<bool> eliminat(M+1, 0);
for(int i = 1; i < lisAdiacenta.size(); ++i) {
if(lisAdiacenta[i].size() %2 == 1) {
ciclu.push_back(-1);
return ciclu;
}
}
stack<int> drumCurent;
//incepem din primul nod
drumCurent.push(1);
while (!drumCurent.empty()) {
int nodCurent = drumCurent.top();
if (lisAdiacenta[nodCurent].size()) {
pair<int,int> nodUrm = lisAdiacenta[nodCurent].back();
lisAdiacenta[nodCurent].pop_back();
if(!eliminat[nodUrm.first]) {
drumCurent.push(nodUrm.second);
eliminat[nodUrm.first]=1;
}
} else {
ciclu.push_back(nodCurent);
drumCurent.pop();
}
}
return ciclu;
}
int main()
{
ofstream fout("ciclueuler.out");
vector<vector<int>> lisAdiacenta;
lisAdiacenta = citireLisAdiacenta();
vector<vector<pair<int, int>>> lisInd = lisAdiacIndexMuchii(lisAdiacenta);
vector<int> ciclu = cicluEuler(lisInd);
for(int i = 0; i < ciclu.size()-1; ++i) {
fout << ciclu[i] << " ";
}
return 0;
}