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;
vector<vector<int>> graph;
vector<int> leaves_from; // Brojot na listovi vo sekoe poddrvo
vector<int> leaves; // indeksite na listovite
int leaf_count, res_count; // Brojot na listovi i brojt na potrebni vrski
// Funkcija koja rekurentno gi broi listovite vo sekoe poddrvo
void count_leaves(int node, int parent) {
if (graph[node].size() == 1)
leaves_from[node] = 1;
for (auto adj : graph[node]) {
if (adj == parent)
continue;
count_leaves(adj, node);
leaves_from[node] += leaves_from[adj];
}
}
// Funkcija za baranje na srednoto teme
int find_mid(int node) {
int parent = 0;
for (auto adj : graph[node])
if (adj != parent && leaves_from[adj] > leaf_count / 2) {
parent = node;
node = adj;
}
return node;
}
// Funkcija koja rekurentno gi dodava listovite
void add_leaves(int node, int parent) {
if (graph[node].size() == 1)
leaves.push_back(node);
for (auto adj : graph[node])
if (adj != parent)
add_leaves(adj, node);
}
// Funkcija koja go deli drvoto na poddrva i gi dodava nivnite listovi na nizata
int split(int n) {
count_leaves(1, 0);
int mid = find_mid(1);
for (auto adj : graph[mid])
add_leaves(adj, mid);
return mid;
}
// Glavnata funkcija
void run() {
int n;
cin >> n;
// Se spravuvame so posebni sluchai
if (n == 1) {
cout << 0;
return;
}
if (n == 2) {
cout << "1\n2";
return;
}
graph = vector<vector<int>>(n + 1);
leaves_from = vector<int>(n + 1);
// Go inicijalizirame drvoto
for (int i = 0; i < n - 1; i++) {
int a, b;
cin >> a >> b;
graph[a].push_back(b);
graph[b].push_back(a);
}
// Gi broime listovite, a so toa i brojot na potrebni vrski
for (int i = 1; i <= n; i++)
if (graph[i].size() == 1)
leaf_count++;
res_count = (leaf_count + 1) / 2;
cout << res_count;
leaves.reserve(2 * res_count);
// Go delime drvoto na poddrva i gi dodavame nivnite listovi
split(n);
if (leaf_count & 1)
leaves.push_back(leaves.front());
// Gi pechatime soodvetnite parovi na listovi
for (int i = 0; i < res_count; i++)
cout << '\n' << leaves[i] << ' ' << leaves[res_count + i];
}
// Main funkcija
auto main() -> int {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
run();
}
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