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;
#ifdef Nero
#include "Deb.h"
#else
#define deb(...)
#endif
const int N = 5e5 + 5;
int a, b;
int pr[N];
int dep[N];
vector<int> g[N];
vector<int> vec[N];
bool from_diameter[N];
vector<pair<int,int>> ans;
int dfs(int v, int p) {
int ret = v;
for (int u : g[v]) {
if (u != p) {
pr[u] = v;
dep[u] = dep[v] + 1;
int t = dfs(u, v);
if (dep[t] > dep[ret]) {
ret = t;
}
}
}
return ret;
}
vector<int> merge(vector<int>& x, vector<int>& y) {
if (x.size() < y.size()) swap(x, y);
for (int v : y) x.push_back(v);
return x;
}
vector<int> extract(vector<int>& x, vector<int>& y) {
if (x.size() < y.size()) swap(x, y);
for (int i = 0; i < (int) y.size(); ++i) {
ans.emplace_back(x.back(), y.back());
y.pop_back();
x.pop_back();
}
return x;
}
void dfs2(int v, int p) {
if ((int) g[v].size() == 1 && v != a && v != b) {
vec[v].push_back(v);
}
for (int u : g[v]) {
if (u == p) {
continue;
}
dfs2(u, v);
if (!from_diameter[v]) {
vec[v] = merge(vec[v], vec[u]);
} else {
vec[v] = extract(vec[v], vec[u]);
}
}
}
int main(){
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n;
cin >> n;
for(int i = 0; i < n - 1; ++i) {
int u, v;
cin >> u >> v;
g[u].push_back(v);
g[v].push_back(u);
}
a = dfs(1, 1);
dep[a] = 0;
b = dfs(a, a);
int x = b;
while (true) {
from_diameter[x] = true;
if (x == a) {
break;
}
x = pr[x];
}
dfs2(a, a);
ans.emplace_back(a, b);
for (int v : vec[a]) {
ans.emplace_back(a, v);
}
cout << (int) ans.size() << '\n';
for (auto [u, v] : ans) {
cout << u << ' ' << v << '\n';
}
return 0;
}
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