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// OK infoarena
// Ciclu eulerian - O(N + M)
#include <fstream>
#include <bitset>
#include <vector>
#define Nmax 100009
#define Mmax 500009
#define pb push_back
#define x first
#define y second
using namespace std;
ifstream f("ciclueuler.in");
ofstream g("ciclueuler.out");
typedef pair<int,int> PP;
int N,M,x,y;
vector<int> G[Nmax], Cycle;
PP E[Mmax];
bitset<Mmax> viz;
int IsEulerian()
{
for(int i = 1; i <= N; ++i)
if(G[i].size() & 1) return 0;
return 1;
}
void DFS(int node)
{
for(vector<int>::iterator it = G[node].begin(); it != G[node].end(); ++it)
if (!viz[*it]) // *it e muchia incidenta la node
{
viz[*it] = 1; // selectez muchia *i
DFS(E[*it].x + E[*it].y - node); // ca nu stiu care dintre x sau y e node
}
Cycle.pb(node);
}
int main()
{
f >> N >> M;
for(int i = 1; i <= M; ++i)
{
f >> x >> y;
G[x].pb(i) , G[y].pb(i); // G[x] retine muchiile in care apare x
E[i] = PP(x, y); // E[i] retine muchia i a grafului ca pair<x, y>
}
if(IsEulerian())
{
DFS(1);
for(size_t i = 0; i < Cycle.size() - 1; ++i)
g << Cycle[i] << ' ';
g << '\n';
}
else g << -1 << '\n';
f.close();
g.close();
return 0;
}