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Cod sursa(job #969333)
#include <list>
#include <fstream>
#include <vector>
#include <iostream>
#include <algorithm>
#include <queue>
#include <stack>
using namespace std;
queue <int> Q;
vector <bool> viz;
vector <int> G;
stack <int> sol;
vector <list <int> > g;
int n, m;
bool res = 1;
ifstream fin ("ciclueuler.in");
ofstream fout ("ciclueuler.out");
void bfs(int x) {
Q.push(x);
viz[x] = 1;
while (Q.size()) {
x = Q.front();
Q.pop();
for (list <int> :: iterator it = g[x].begin(); it != g[x].end(); ++it)
if (!viz[*it]) {
viz[*it] = 1;
Q.push(*it);
}
}
}
bool grad() {
for (int i = 1; i <= n; ++i)
if (G[i] & 1 || (!viz[i] && G[i]))
return 0;
return 1;
}
void euler(int x) {
sol.push(x);
while (sol.size()) {
x = sol.top();
if (!g[x].size()) {
fout << x << " ";
sol.pop();
}
else {
int y = *g[x].begin();
g[x].erase(g[x].begin());
list <int> :: iterator it = g[y].begin();
while (it != g[y].end() && *it != x)
++it;
g[y].erase (it);
sol.push(y);
}
}
}
int main() {
fin >> n >> m;
viz.resize(n+1);
G.resize(n+1);
g.resize(n+1);
while (m--) {
int x, y;
fin >> x >> y;
if (x != y)
G[x]++, G[y]++;
g[x].push_back (y);
g[y].push_back (x);
}
fin.close();
bfs(1);
res = grad();
if (res)
euler(1);
else
fout << -1;
fout.close();
}