Cod sursa(job #968296)
#include<cstdio>
#include<set>
#include<bitset>
#include<vector>
using namespace std;
const int NMAX = 100005;
int N,M,X,Y,i;
vector<int> V[NMAX];
vector<int> St;
bitset<NMAX> viz;
void DFS(int X)
{
for(vector<int>::iterator it=V[X].begin();it!=V[X].end();it++)
if(!viz[*it])
{
viz[*it]=1;
DFS(*it);
}
}
int main()
{
freopen("ciclueuler.in","r",stdin);
freopen("ciclueuler.out","w",stdout);
scanf("%d%d",&N,&M);
for(;M;M--)
{
scanf("%d%d",&X,&Y);
V[X].push_back(Y); V[Y].push_back(X);
}
// Pentru ca graful sa fie eulerian, toate nodurile trebuie sa aiba grad par.
for(i=1;i<=N;i++) if(V[i].size()&1) {printf("-1\n"); return 0;}
// De asemenea, graful trebuie sa fie conex.
viz[1]=1; DFS(1);
for(i=1;i<=N;i++) if(!viz[i]) {printf("-1\n"); return 0;}
// Compunem ciclul eulerian dintr-o reuniune de cicluri dijuncte.
St.push_back(1);
while(!St.empty())
{
X=St.back();
if(V[X].size())
{
Y=V[X].back();
V[X].pop_back();
for(vector<int>::iterator it=V[Y].begin();it!=V[Y].end();it++)
if(*it==X) {*it=V[Y].back(); V[Y].pop_back(); break;}
St.push_back(Y);
}
else
{
printf("%d ",St.back());
St.pop_back();
}
}
return 0;
}