| # | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
|---|---|---|---|---|---|---|---|
| 1283619 | wedonttalkanymore | Network (BOI15_net) | C++20 | 7 ms | 14752 KiB |
#include <bits/stdc++.h>
/*
Phia ben kia dai duong cung chi co
Bo cat nang niu bien thoi
*/
using namespace std;
using ll = long long;
#define int long long
#define pii pair<ll, ll>
#define fi first
#define se second
const ll N = 2e5 + 5, inf = 1e18, mod = 1e9 + 7, block = 320, lim = 19;
int n;
vector <int> adj[N];
set <int> s[N];
vector <pii> path;
int pos = 0;
void dfs(int u, int par) {
if (adj[u].size() == 1 && u != pos) {
s[u].insert(u);
// cout << u << '\n';
return;
}
vector <set <int> > child(adj[u].size());
int sum = 0;
for (int i = 0; i < adj[u].size(); i++) {
int v = adj[u][i];
if (v != par) {
dfs(v, u);
for (auto x : s[v]) {
child[i].insert(x);
sum++;
}
s[v].clear();
}
}
// cout << "at: " << u << ' ' << sum << '\n';
// for (int i = 0; i < child.size(); i++) {
// cout << adj[u][i] << ' ' << child[i].size() << '\n';
// }
if (sum % 2 == 0) {
for (int i = 0; i < child.size(); i++) {
if (child[i].size()) {
s[u].insert(*child[i].begin());
child[i].erase(child[i].begin());
break;
}
}
}
// cout << adj[u].size() << '\n';
for (int i = 1; i < child.size(); i++) {
// cout << adj[u][i - 1] << ' ' << adj[u][i] << ' ' << child[i].size() << '\n';
while(child[i].size() && child[i - 1].size()) {
int x = *child[i].begin();
int y = *child[i - 1].begin();
path.emplace_back(x, y);
// cout << "allr: " << x << ' ' << y << '\n';
child[i].erase(x);
child[i - 1].erase(y);
}
for (auto x : child[i - 1]) child[i].insert(x);
child[i - 1].clear();
}
for (int i = 0; i < child.size(); i++) {
for (auto x : child[i]) {
// cout << "ins: " << u << ' ' << x << '\n';
s[u].insert(x);
}
}
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
if (fopen(".inp", "r")) {
freopen(".inp", "r", stdin);
freopen(".out", "w", stdout);
}
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) {
pos = i;
break;
}
}
// cout << pos << '\n';
dfs(pos, 0);
// cout << s[pos].size() << '\n';
// for (auto [x, y] : path) cout << x << ' ' << y << '\n';
if (s[pos].size()) {
vector <int> val;
for (auto x : s[pos]) {
val.push_back(x);
// cout << "need: " << x << '\n';
}
if (val.size() % 2 == 1) {
for (int i = 1; i < val.size(); i += 2) path.emplace_back(val[i], val[i - 1]);
path.emplace_back(val.back(), pos);
}
else {
int sz = val.size();
for (int i = 1; i < val.size() - 2; i += 2) path.emplace_back(val[i], val[i - 1]);
path.emplace_back(val[sz - 1], pos);
path.emplace_back(val[sz - 2], pos);
}
}
cout << path.size() << '\n';
for (auto [x, y] : path) cout << x << ' ' << y << '\n';
return 0;
}
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