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Cod sursa(job #495823)
#include <algorithm>
#include <fstream>
#include <vector>
#include <queue>
#define Nmax 100003
typedef unsigned int uint;
using namespace std;
int gr[Nmax],c[Nmax],ce[500002],viz[Nmax],p = 1, u = 1, nr;;
vector<int> a[Nmax];
queue <int> Q;
void ciclu(int x)
{
nr = 1;
c[1] = x;
bool ok = true;
for (int i = 0; (size_t) i < a[x].size() && ok; i++)
{ int z = a[x][i];
if (a[x][i] !=c[1])
{
nr++;
c[nr] = a[x][i];
gr[a[x][i]]--;
gr[x]--;
vector<int>::iterator j = find(a[z].begin(), a[z].end(), x);
a[z].erase(j);
a[x].erase(a[x].begin());
x = z;
i=-1;
}
else
{ ok = false;
gr[c[1]]--; gr[x]--;
c[++nr] = c[1];
vector<int>::iterator j = find(a[z].begin(), a[z].end(), x);
a[z].erase(j);
a[x].erase(a[x].begin());
}
}
}
void inser()
{
for (int i = u; i >= p + 1; i--)
ce[i + nr -1] = ce[i];
for (int i = 2; i <= nr; i++)
ce[p + i - 1] = c[i];
}
void df(int k)
{int i , v;
Q.push(1);
viz[1]=true;
while(!Q.empty() ) {
v = Q.front(); Q.pop();
viz[v] = true;
for(int s=0;s<a[v].size();s++)
if ( !viz[a[v][s]] )
Q.push(a[v][s]);
}
}
int main()
{
ifstream in("ciclueuler.in");
ofstream out("ciclueuler.out");
int N, M;
in >> N >> M;
for (int i = 1; i <= M; i++)
{
int x, y;
in >> x >> y;
a[x].push_back(y);
a[y].push_back(x);
gr[x]++;
gr[y]++;
}
df(1);
for (int i = 1; i <= N; i++)
if (gr[i] % 2 || (viz[i] == 0 && gr[i] != 0))
{
out << -1;
return 0;
}
ce[1] = 1;
while (p <= u)
{
if (gr[ce[p]] > 0)
{
ciclu(ce[p]);
inser();
u += nr - 1;
}
else
p++;
}
for (int i = 1; i <= u-1; i++)
out << ce[i] << ' ';
return 0;
}