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Cod sursa(job #503584)
#include<fstream>
#include<vector>
using namespace std;
ifstream in("ciclueuler.in");
ofstream out("ciclueuler.out");
const int N=100020;
vector<int>a[N];
vector<int>poz[N];
vector<bool>folosit[N];
int m,n,v[N],nr,x,y,st[500010];
void read()
{
int x,y,i;
in>>n>>m;
for(i=0;i<m;i++)
{
in>>x>>y;
a[x].push_back(y);
a[y].push_back(x);
poz[x].push_back(a[y].size()-1);
poz[y].push_back(a[x].size()-1);
folosit[x].push_back(false);
folosit[y].push_back(false);
}
}
int c[N],start[N];
bool viz[N];
void bfs()
{
int i,r,u,p;
u=p=0;
c[p]=1;
viz[1]=1;
while(p<=u)
{
r=c[p];
for(int i=0;i<a[r].size();i++)
{
y=a[r][i];
if(!viz[y])
{
c[++u]=y;
viz[y]=1;
}
}
++p;
}
for(int i=1;i<=n;i++)
if(!viz[i] || a[i].size()%2==1)
{
out<<-1;
exit(0);
}
}
void euler(int x)
{
for(int i=0;i<a[x].size();i++)
{
if(folosit[x][i])
continue;
y=a[x][i];
folosit[x][i]=1;
folosit[y][poz[x][i]]=1;
euler(y);
}
//if(nr<=n+1)
v[++nr]=x;
}
void euler2()
{
int vf=0;
//int x,y;
bool ok;
x=1;
//v[++nr]=1;
st[++vf] = 1;
while(vf != 0)
{
ok = false;
for(int i=start[x];i<a[x].size();i++)
{
if(folosit[x][i])
continue;
y=a[x][i];
start[x] = i+1;
folosit[x][i]=1;
folosit[y][poz[x][i]]=1;
ok = true;
break;
}
if(!ok)
{
v[++nr] = x;
--vf;
}
//v[++nr]=y;
else
st[++vf] = y;
x=st[vf];
}
}
void afis()
{
for(int i=1;i<nr;i++)
out<<v[i]<<" ";
}
int main()
{
read();
bfs();
euler2();
afis();
return 0;
}