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Cod sursa(job #558335)
#include<cstdio>
#include<list>
#include<queue>
#include<stack>
#include<bitset>
using namespace std;
int i,j,n,m,grad[100005],r[500005];
list< int > a[100005],rez;
queue< int > q;
bitset<100005> fol;
void scoate(int x,int y)
{
grad[x]--;
grad[y]--;
a[x].pop_front();
for(list<int>::iterator it=a[y].begin();it!=a[y].end();++it)
if(*it==x)
{
a[y].erase(it);
break;
}
}
int main()
{
freopen("ciclueuler.in","r",stdin);
freopen("ciclueuler.out","w",stdout);
scanf("%d%d",&n,&m);
for(i=1;i<=m;++i)
{
int x,y;
scanf("%d%d",&x,&y);
a[x].push_back(y); grad[x]++;
a[y].push_back(x); grad[y]++;
}
for(i=1;i<=n;++i)
if(grad[i]%2)
{
printf("-1\n");
fclose(stdin);
fclose(stdout);
return 0;
}
q.push(1);
fol[1]=1;
while(!q.empty())
{
int u=q.front();
q.pop();
for( list<int>::iterator it=a[u].begin();it!=a[u].end();++it)
if(!fol[*it])
{
fol[*it]=1;
q.push(*it);
}
}
for(i=1;i<=n;++i)
if(!fol[i])
{
printf("-1\n");
fclose(stdin);
fclose(stdout);
return 0;
}
r[++r[0]]=1;
while(r[0]>0)
{
int u=r[r[0]];
if(!grad[u])
{
rez.push_back(u);
r[0]--;
}
else
{
int fiu=a[u].front();
scoate(u,fiu);
r[++r[0]]=fiu;
}
}
rez.pop_back();
while(!rez.empty())
{
printf("%d ",rez.front());
rez.pop_front();
}
printf("\n");
fclose(stdin);
fclose(stdout);
return 0;
}