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Cod sursa(job #929744)
#include <fstream>
#include <vector>
#include <deque>
using namespace std;
ifstream fin("ciclueuler.in");
ofstream fout("ciclueuler.out");
int n, m, m2;
bool muchii[500001];
struct vecin
{
int nod;
int muchie;
};
bool v[100001];
vector <vecin> lv[100001];
deque <int> c;
void BFS(int nod)
{
int i;
c.push_back(nod);
v[nod] = true;
while(!c.empty())
{
nod = c.front();
c.pop_front();
for( i = 0; i < lv[nod].size(); i++)
if(!v[lv[nod][i].nod])
{
v[lv[nod][i].nod]=true;
c.push_back(lv[nod][i].nod);
}
}
}
bool check()
{
int i;
for( i = 1; i <= n; i++)
if( lv[i].size() % 2 ) return 0;
BFS(1);
for( i = 1; i <= n; i++)
if( v[i] == false ) return 0;
return 1;
}
void euler(int nod)
{
while(!lv[nod].empty())
{
int aux,i;
i=lv[nod].size();
while(i && muchii[lv[nod][i-1].muchie] == true)
{
i--;
lv[nod].pop_back();
}
if(i)
{
muchii[lv[nod][i-1].muchie] = true;
aux = lv[nod][i-1].nod;
m2++;
if(m2 != m)fout << aux <<" ";
lv[nod].pop_back();
if(!lv[nod].empty())c.push_back(nod);
nod=aux;
}
}
}
void rezolvare()
{
int x;
fout<< 1 <<" ";
x = 1;
do
{ if(!lv[x].empty())euler(x);
x = c.back();
c.pop_back();
}while(m2 < m-1);
}
int main()
{
fin >> n >> m;
int i;
for( i = 1; i <= m; i++)
{
int x, y;
fin >> x >> y;
vecin aux;
aux.nod = x;
aux.muchie = i;
lv[y].push_back(aux);
aux.nod = y;
lv[x].push_back(aux);
}
if(check())
rezolvare();
else fout << -1;
return 0;
}