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;
const int N = 5e5 + 10;
int n, sz[N];
vector<int> adj[N];
int dfssz(int u, int p = 0){
sz[u] = (adj[u].size() < 2);
for (auto v : adj[u])
if (v ^ p) sz[u] += dfssz(v, u);
return sz[u];
}
int centroid(int u, int cnt, int p = 0){
for (auto v : adj[u])
if(v ^ p && sz[v] > cnt / 2) return centroid(v, cnt, u);
return u;
}
void dfs(int u, int p, vector<int> &comp){
if (adj[u].size() == 1) comp.emplace_back(u);
for (auto v : adj[u])
if(v ^ p) dfs(v,u,comp);
}
int main(){
cin.tie(nullptr)->sync_with_stdio(false);
cin >> n;
for (int i = 1; i < n; i++) {
int u,v;
cin >> u >> v;
adj[u].emplace_back(v);
adj[v].emplace_back(u);
}
int c = centroid(1, dfssz(1));
vector<vector<int>> res;
for(auto v:adj[c]) {
res.push_back({});
dfs(v,c,res.back());
}
priority_queue<pair<int,int>> pq;
for (int i = 0; i < res.size(); i++) pq.emplace(res[i].size(),i);
vector<pair<int,int>> ans;
while (!pq.empty()) {
auto [s,i]=pq.top();
pq.pop();
if (pq.empty()){
ans.emplace_back(res[i].back(),c);
break;
}
auto [t,j] = pq.top();
pq.pop();
ans.emplace_back(res[i].back(),res[j].back());
res[i].pop_back();
res[j].pop_back();
if(--s) pq.emplace(s,i);
if(--t) pq.emplace(t,j);
}
cout << ans.size() << endl;
for(auto [x,y] : ans) cout << x << " " << y << endl;
}
Compilation message (stderr)
net.cpp: In function 'int main()':
net.cpp:44:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
44 | for (int i = 0; i < res.size(); i++) pq.emplace(res[i].size(),i);
| ~~^~~~~~~~~~~~
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