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Cod sursa(job #485318)
#include <list>
#include <cstdlib>
#include <cstdio>
#include <queue>
#define MAXN 100010
#define MAXM 500010
#define pb push_back
using namespace std;
list<int> v[MAXN];
queue<int> q;
int c[MAXM],c1[MAXM],g[MAXN],n,m;
bool viz[MAXN];
FILE *fin=freopen("ciclueuler.in","r",stdin);
FILE *fout=freopen("ciclueuler.out","w",stdout);
void citeste(void)
{
int e1,e2,i;
fscanf(fin,"%d %d",&n,&m);
for(i=1;i<=m;i++)
{
fscanf(fin,"%d %d",&e1,&e2);
v[e1].pb(e2);
g[e1]++;
if(e1!=e2)
{v[e2].pb(e1);
g[e2]++;}
}
}
bool grad_par()
{
int i;
for(i=1;i<=n;i++)
if(g[i]%2!=0)
return 0;
return 1;
}
void dfs()
{
list<int>::iterator it;
q.push(1);
while(!q.empty())
{
for(it=v[q.front()].begin();it!=v[q.front()].end();it++)
if(!viz[*it])
{
q.push(*it);
viz[*it]=1;
}
q.pop();
}
}
bool conex()
{
int i;
dfs();
for(i=1;i<=n;i++)
if(!viz[i])
return 0;
return 1;
}
void erase(int e1,int e2)
{
g[e1]--;
list<int>::iterator it;
v[e1].pop_front();
if(e1!=e2)
{
for(it=v[e2].begin();it!=v[e2].end();it++)
if(*it==e1)
{
v[e2].erase(it);
break;
}
g[e2]--;
}
}
bool eulerian()
{
if(grad_par()&&conex())
return 1;
else
return 0;
}
void ciclu()
{
int p,x,i,base=1,top=0,pozx;
c[1]=1;
do
{
base++;
c[base]=v[c[base-1]].front();
erase(c[base],c[base-1]);
}while(c[base]!=1);
while(base-1<m)
{
for(i=1;i<=base-1;i++)
if(!v[c[i]].empty())
{
x=i;
i=base-1;
}
p=1;
c1[p]=x;
do
{
p++;
c1[p]=v[c1[p-1]].front();
erase(c1[p],c1[p-1]);
}while(c1[p]!=x);
for(i=base-1;i>=x;i--)
c[i+p-1]=c[i];
for(i=2;i<=p-1;i++)
c[i-1+x]=c1[i];
}
}
int main()
{
citeste();
if(!eulerian())
fprintf(fout,"%d",-1);
else
{
ciclu();
for(int i=1;i<=m;i++)
fprintf(fout," %d",c[i]);
}
return 0;
}