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Cod sursa(job #245132)
using namespace std;
#include <bitset>
#include <vector>
#define pb push_back
#define sz size
#define f first
#define s second
#define II inline
#define FOR(i,a,b) for(int i=a;i<=b;++i)
#define mp make_pair
#define IN "ciclueuler.in"
#define OUT "ciclueuler.out"
#define N_MAX 1<<17
int N,M;
typedef pair<int,int> pi;
vector< vector<pi> > A(N_MAX);
int stv[1<<19],nr[1<<19],Q[N_MAX],V[N_MAX];
bool viz[N_MAX];
II int find(int x,int y)
{
FOR(i,0,(int)A[x].sz()-1)
if(A[x][i].f == y)
return i;
return -1;
}
II void scan()
{
freopen(IN,"r",stdin);
freopen(OUT,"w",stdout);
scanf("%d %d",&N,&M);
int x,y;
FOR(i,1,M)
{
scanf("%d %d",&x,&y);
int poz = find(x,y);
if(poz==-1)
{
A[x].pb( mp(y,1) );
A[y].pb( mp(x,1) );
}
else
{
++A[x][poz].s;
++A[y][ find(y,x) ].s;
}
if(x==y)
++V[x];
}
}
II void euler()
{
int fiu(1),nod(1);
for(stv[++stv[0]] = 1;nod;)
{
for(;nr[stv[0]] <= (int)A[ stv[stv[0]] ].sz()-1;)
{
int i = nr[stv[0]];
++nr[stv[0]];
nod = stv[stv[0]];
fiu = A[nod][i].f;
if(!A[nod][i].s || (V[nod] && fiu!=nod) )
continue;
if(fiu!=nod)
{
--A[nod][i].s;
--A[fiu][ find(fiu,nod) ].s;
stv[++stv[0]] = fiu;
}
else
{
if(!V[nod])
continue;
--A[nod][i].s;
--A[nod][i+1].s;
--V[nod];
stv[++stv[0]] = fiu;
}
}
viz[nod] = true;
Q[++Q[0]] = nod;
nod = stv[--stv[0]];
nr[stv[0]+1] = 0;
}
}
II void print()
{
FOR(i,1,N)
if(!viz[i] || Q[0]-1 != M)
{
printf("-1\n");
return;
}
FOR(i,1,Q[0]-1)
printf("%d ",Q[i]);
}
int main()
{
scan();
euler();
print();
return 0;
}