Pagini recente » Cod sursa (job #766293) | Cod sursa (job #2515897) | Cod sursa (job #143238) | Cod sursa (job #671195) | Cod sursa (job #2528328)
#include <fstream>
#include <vector>
#include <iostream>
#include <bitset>
#include <stack>
using namespace std;
const int N = 1e5 + 5;
vector <int> L[N]; /// the list L[i] stores the indices of the edges that are incident to the i-th vertex
vector <int> to(N), from(N); /// to[i] and from[i] store the vertices connected by the i-th edge
vector <int> eulcycle; /// stores the solution;
bitset <5 * N> used; /// used[i] = 1 if the i-th edge is already in the cycle, 0 otherwise
stack <int> st; /// stores the nodes in the cycle
int n;
/// A connected graph has an Euler cycle if and only if every vertex has even degree. - Euler's theorem
void Read ()
{
ifstream fin ("ciclueuler.in");
int m, x, y, i;
fin >> n >> m;
for (i = 1; i <= m; i++)
{
fin >> x >> y;
L[x].push_back(i);
L[y].push_back(i);
from[i] = x;
to[i] = y;
}
}
void Solve ()
{
ofstream fout ("ciclueuler.out");
for (int i = 1; i <= n; i++)
if (L[i].size() & 1)
{
fout << "-1\n";
fout.close();
return;
}
st.push(1);
while (!st.empty())
{
int node = st.top();
if (L[node].size())
{
int nextedge = L[node].back();
L[node].pop_back();
if (!used[nextedge])
{
used[nextedge] = 1;
int nextnode = (from[nextedge] ^ to[nextedge] ^ node);
st.push(nextnode);
}
}
else
{
st.pop();
eulcycle.push_back(node);
}
}
for (unsigned int i = 0; i < eulcycle.size() - 1; i++)
fout << eulcycle[i] << " ";
fout << "\n";
fout.close();
}
int main()
{
Read();
Solve();
return 0;
}