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Cod sursa(job #603869)
#include <iostream>
#include <vector>
#include <stack>
#define NMax 50005
using namespace std;
vector <int> G[NMax];
stack <int> Stack, Cycle;
int N, Degree[NMax];
bool Viz[NMax];
void Read ()
{
freopen ("ciclueuler.in", "r", stdin);
int M;
scanf ("%d %d", &N, &M);
for (; M>0; --M)
{
int X, Y;
scanf ("%d %d", &X, &Y);
G[X].push_back (Y);
G[Y].push_back (X);
++Degree[X];
++Degree[Y];
}
}
void Print ()
{
freopen ("ciclueuler.out", "w", stdout);
while (!Cycle.empty ())
{
printf ("%d ", Cycle.top ());
Cycle.pop ();
}
printf ("\n");
}
void DFS (int X)
{
Viz[X]=true;
for (unsigned v=0; v<G[X].size (); ++v)
{
int V=G[X][v];
if (!Viz[V])
{
DFS (V);
}
}
}
bool GraphConnectivity ()
{
DFS (1);
for (int i=1; i<=N; ++i)
{
if (!Viz[i])
{
return false;
}
}
}
bool EulerianGraph ()
{
if (!GraphConnectivity ())
{
return false;
}
for (int i=1; i<=N; ++i)
{
if (Degree[i]%2==1)
{
return false;
}
}
return true;
}
void Delete (int X, int Y)
{
G[X].erase (G[X].begin ());
--Degree[X];
for (vector <int> :: iterator V=G[Y].begin (); V!=G[Y].end (); ++V)
{
if (*V==X)
{
G[Y].erase (V);
--Degree[Y];
return;
}
}
}
void Euler (int X)
{
while (!G[X].empty ())
{
int Y=G[X].front ();
Delete (X, Y);
Stack.push (X);
X=Y;
}
}
int main()
{
Read ();
if (EulerianGraph ())
{
int V=1;
do
{
Euler (V);
V=Stack.top ();
Stack.pop ();
Cycle.push (V);
}
while (!Stack.empty ());
}
else
{
Cycle.push (-1);
}
Print ();
return 0;
}