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Cod sursa(job #918543)
#include<fstream>
#include<vector>
#include<cstdlib>
using namespace std;
ifstream fin("ciclueuler.in");
ofstream fout("ciclueuler.out");
const int Nmax = 500005;
int N, M; bool Visited[11]; int In[Nmax]; int Out[Nmax]; bool Mark[Nmax];int Start; bool EdgeVisit[Nmax];
int Many[Nmax]; int Number;
vector<int> G[12];
void Read() {
fin >> N >> M;
for(int i = 1; i <= M; ++i){
fin >> In[i] >> Out[i];
G[In[i]].push_back(i);
G[Out[i]].push_back(i);
}
}
bool EulerianGraph() {
for(int i = 0; i < 10; ++i)
if(G[i].size() % 2) return false;
for(int i = 0; i < 10; ++i)
if(G[i].size()) Start = i;
return true;
}
void DeepFirstS(const int Node){
Visited[Node] = true;
for(int i = 0; i < G[Node].size(); ++i){
int X = In[G[Node][i]] + Out[G[Node][i]] - Node;
if(Visited[X] == false){
Mark[G[Node][i]] = true;
DeepFirstS(X);
}
}
}
void Euler(const int Node){
for(int i = 0 ;i < G[Node].size(); ++i)
if(EdgeVisit[G[Node][i]] == false && ( (Many[Node] > 0 && Mark[G[Node][i]] == false) || (Many[Node] <= 0) ) ){
int X = In[G[Node][i]] + Out[G[Node][i]] - Node;
EdgeVisit[G[Node][i]] = true;
Many[X]-= 2;
Euler(X);
fout <<X <<" ";
}
}
int main(){
Read();
if(EulerianGraph() == false){
fout << -1; exit(0);
}
DeepFirstS(1);
for(int i = 0; i < 10; ++i)
for(int X = 0 ; X < G[i].size(); ++X)
if(Mark[G[i][X]] == false) Many[In[G[i][X]]]++, Many[Out[G[i][X]]]++;
Euler(1);
//Print();
fin.close();
return 0;
}