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Cod sursa(job #882160)
#include <fstream>
#include<vector>
#define Dmax 100005
using namespace std;
ifstream intrare("ciclueuler.in");
ofstream iesire("ciclueuler.out");
int n, m;
int d[Dmax];
int viz[Dmax];
vector<int>G[Dmax];
int total;
struct nod{int vf; struct nod * urm;};
typedef struct nod * Lista;
Lista C1, C2, sfC1, sfC2;
void citire();
void dfs(int x);
void determinare_eulerian();
bool conex();
bool gradepare();
int ciclu(int x, Lista &inc, Lista &sf);
void afisare();
int main()
{
citire();
if (conex() && gradepare())
{
determinare_eulerian();
afisare();
}
else
iesire <<-1<<'\n';
iesire.close();
return 0;
}
void citire()
{
int x, y, i;
intrare>>n>>m;
for(i=1;i<=m;i++)
{
intrare>>x>>y;
d[x]++; d[y]++;
G[x].push_back(y);
G[y].push_back(x);
}
}
void dfs(int x)
{
int i;
viz[x]=true;
for(i=0;i<G[x].size();i++)
if(!viz[G[x][i]])
dfs(G[x][i]);
}
bool gradepare()
{
int i;
for(i = 1; i <= n; i++)
if (d[i]%2)
return 0;
return 1;
}
bool conex()
{
int x, i;
for(x = 1; x <= n && !d[x]; x++);
if (x >= n)
return 0;
dfs(x);
for(i = 1; i <=n; i++)
if (!viz[i] && d[i])
return 0;
return 1;
}
void determinare_eulerian()
{
int x,nr2;
Lista p,q;
for(x=1;x<=n&&!d[x];x++);
total=ciclu(x,C1,sfC1);
while(total!=m)
{
for(p=C1;!d[p->vf];p=p->urm);
nr2=ciclu(p->vf,C2,sfC2);
q=p->urm;
p->urm=C2->urm;
sfC2->urm=q;
total+=nr2;
}
}
int ciclu(int x, Lista &inc, Lista &sf)
{
Lista p;
int y,uvf,i,j,lg = 0;
p=new nod;
p->vf=x;
p->urm=NULL;
inc=sf=p;
do
{
uvf=sf->vf;
for(i=0;i<G[uvf].size();i++)
if(G[uvf][i])
break;
y=G[uvf][i];
p=new nod;
p->vf=y;
p->urm=NULL;
sf->urm=p;
sf=p;
lg++;
G[uvf][i]=0;
for(j=0;j<G[y].size();j++)
if(G[y][j]==uvf)
{
G[y][j]=0;
break;
}
d[uvf]--;d[y]--;
}
while(y!=x);
return lg;
}
void afisare()
{
Lista p;
for(p=C1; p;p=p->urm)
iesire<<p->vf<<' ';
iesire<<'\n';
}