This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define inf 0x3F3F3F3F
const int MXN = 5e5 + 5, MXK = 21, MXM = 1e7 + 5;
const int LOG = 18;
int n, m = 0, R;
vector<int> adj[MXN];
int sz[MXN];
void getsz(int a, int p)
{
sz[a] = (adj[a].size() == 1);
for (int &v : adj[a])
{
if (v == p) continue;
getsz(v, a);
sz[a] += sz[v];
}
}
int findcent(int a, int p)
{
for (int &v : adj[a])
{
if (v == p) continue;
if (sz[v] > m / 2) return findcent(v, a);
}
return a;
}
vector<int> x;
void dfs(int a, int p)
{
if (adj[a].size() == 1) x.push_back(a);
for (int &v : adj[a])
{
if (v == p) continue;
dfs(v, a);
}
}
signed main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
cin >> n;
for (int i = 1; i < n; i++)
{
int u, v;
cin >> u >> v;
adj[u].push_back(v);
adj[v].push_back(u);
}
for (int i = 1; i <= n; i++)
{
if (adj[i].size() > 1) R = i;
m += (adj[i].size() == 1);
}
getsz(R, R);
int c = findcent(R, R);
vector<vector<int>> V, V1;
for (int &v : adj[c])
{
x.clear();
dfs(v, c);
V.push_back(x);
}
V1 = V;
priority_queue<array<int, 2>> pq;
for (int i = 0; i < V.size(); i++)
{
pq.push({(int)V[i].size(), i});
}
vector<array<int, 2>> res;
while (pq.size() > 1)
{
array<int, 2> x = pq.top();
pq.pop();
array<int, 2> y = pq.top();
pq.pop();
res.push_back({V[x[1]].back(), V[y[1]].back()});
V[x[1]].pop_back();
V[y[1]].pop_back();
if (--x[0]) pq.push(x);
if (--y[0]) pq.push(y);
}
if (pq.size() == 1)
{
if (pq.top()[1] == 0)
{
res.push_back({V1[0][0], V1[1][0]});
}
else
{
res.push_back({V1[0][0], V1[pq.top()[1]][0]});
}
}
cout << res.size() << '\n';
for (array<int, 2> &i : res) cout << i[0] << ' ' << i[1] << '\n';
}
Compilation message (stderr)
net.cpp: In function 'int main()':
net.cpp:75:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
75 | for (int i = 0; i < V.size(); i++)
| ~~^~~~~~~~~~
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