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Cod sursa(job #927014)
#include <fstream>
#include <vector>
using namespace std;
ifstream fin("ciclueuler.in");
ofstream fout("ciclueuler.out");
int n,m;
int gr[100001], marb[100001];
bool muchii[500001];
bool ma[500001];
int m2;
struct vecin
{
int nod;
int muchie;
};
bool v[100001];
vector <vecin> lv[100001];
void DFS(int nod)
{
int i;
v[nod] = true;
for( i = 0; i < lv[nod].size(); i++ )
{
if( !v[ lv[nod][i].nod])
{
marb[nod]++;
ma[lv[nod][i].muchie] = true;
vecin aux;
aux=lv[nod][marb[nod]-1];
lv[nod][marb[nod]-1]=lv[nod][i];
lv[nod][i]=aux;
DFS( lv[nod][marb[nod]-1].nod);
}
}
}
bool check()
{
int i;
for( i = 1; i <= n; i++)
if( gr[i] % 2 ) return 0;
DFS(1);
for( i = 1; i <= n; i++)
if( v[i] == false ) return 0;
return 1;
}
void euler(int nod)
{
int aux,i;
i=lv[nod].size();
while(i && muchii[lv[nod][i-1].muchie] == true)
{
i--;
lv[nod].pop_back();
}
while( i > marb[nod] && ma[lv[nod][i-1].muchie] == true)
{
marb[ nod ] ++;
vecin aux;
aux= lv[nod][marb[nod]-1];
lv[nod][marb[nod]-1]=lv[nod][i-1];
lv[nod][i-1]=aux;
}
if(i)
{
muchii[lv[nod][i-1].muchie] = true;
aux=lv[nod][i-1].nod;
fout << aux<<" ";
m2++;
lv[nod].pop_back();
if(m2 < m) euler(aux);
}
}
int main()
{
fin >> n >> m;
int i;
for( i = 1; i <= m; i++)
{
int x, y;
fin >> x >> y;
gr[x]++;
gr[y]++;
vecin aux;
aux.nod=x;
aux.muchie=i;
lv[y].push_back(aux);
aux.nod=y;
lv[x].push_back(aux);
}
if(check())
{
fout<< 1<<" ";
euler(1);
}
else fout << -1;
return 0;
}