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Cod sursa(job #399501)
#include <fstream>
#include <list>
#include <stack>
#include <queue>
#define max 100005
using namespace std;
list <int> G[ max ],R;
stack<int> St;
queue<int> Q;
int Deg[max];
char viz[max];
int n,m;
void BFS( int nod ) {
Q.push(nod);
viz[nod]=1;
while(!Q.empty() ){
nod = Q.front();
Q.pop();
for( typeof(G[nod].begin()) it = G[nod].begin(); it != G[nod].end(); it++)
if( viz[ *it ] == '0' ){
Q.push( *it );
viz[ *it ] =1;
}
}
}
int not_euler(){
BFS(1);
int i;
for(i=1;i<=n;i++) if( viz[i]=='0' ) return 1;
for(i=1;i<=n;i++) if( Deg[i] & 1 ) return 1;
return 0;
}
void Sterge( int v, int w){
Deg[v]--;Deg[w]--;
G[v].pop_front();
for( typeof(G[w].begin()) it=G[w].begin(); it != G[w].end(); it++)
if( *it == v ) {G[w].erase(it);break;}
}
void solve(){
int v =1,w;
do{
while(1){
if( G[v].empty() ) break;
w = G[v].front();
St.push(v);
Sterge(v,w);
v = w;
}
v = St.top();
St.pop();
R.push_back(v);
}while( !St.empty() );
}
int main(){
ifstream f("ciclueuler.in");
ofstream g("ciclueuler.out");
f>>n>>m;
int i,x,y;
for(i=1;i<=m;i++){
f>>x>>y;
G[x].push_back(y);Deg[x]++;
G[y].push_back(x);Deg[y]++;
}
if( not_euler() ) { g<<"-1"; return 0; }
solve();
for( typeof( R.begin() ) it=R.begin(); it != R.end(); it++) g<<(*it)<<" ";
return 0;
}