# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
717510 | Charizard2021 | Network (BOI15_net) | C++17 | 25 ms | 35876 KiB |
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 = 500001;
#define IOS ios::sync_with_stdio(false);; cin.tie(NULL)
bool visited[N];
int LeavesInsubtee[N];
vector<int> adj[N];
vector<int> res[N];
vector<int> v2[N];
int n;
int ans = 0;
int cur_ans = 0;
int subtreeValue = 0;
void dfs(int u){
visited[u] = true;
if((int)adj[u].size() == 1){
LeavesInsubtee[u] = 1;
}
for(int v : adj[u]){
if(!visited[v]){
dfs(v);
LeavesInsubtee[u] += LeavesInsubtee[v];
}
}
}
void dfs2(int u){
visited[u] = true;
if((int)adj[u].size() == 1){
res[subtreeValue].push_back(u);
}
for(int v : adj[u]){
if(!visited[v]){
dfs2(v);
}
}
}
int cutlocation(int u){
visited[u] = true;
for(int v : adj[u]){
if(!visited[v]){
if(LeavesInsubtee[v] > floor((cur_ans)/2)){
return cutlocation(v);
}
}
}
return u;
}
int cut(int u){
dfs(1);
for(int i = 1; i <= n; i++){
visited[i] = false;
}
int x = cutlocation(1);
for(int i = 1; i <= n; i++){
visited[i] = false;
}
visited[x] = true;
for(int v : adj[x]){
subtreeValue++;
dfs2(v);
}
return x;
}
struct cmp{
bool operator()(const int &a, const int &b) const{
if(res[a].size() == res[b].size()){
return a < b;
}
return res[a].size() > res[b].size();
}
};
int main(){
// ifstream cin("net2y.in");
// ofstream cout("net2y.out");
IOS;
cin >> n;
for(int i = 0; i < n - 1; i++){
int a, b;
cin >> a >> b;
adj[a].push_back(b);
adj[b].push_back(a);
}
for(int i = 1; i <= n; i++){
if((int)adj[i].size() == 1){
ans++;
}
}
cur_ans = ans;
ans = (ans + 1)/2;
cout << ans << "\n";
cut(n);
vector<int> v;
vector<int> res2[subtreeValue + 1];
for(int i = 1; i <= subtreeValue; i++){
v2[res[i].size()].push_back(i);
res2[i] = res[i];
}
int first_pointer = -1;
int second_pointer = -1;
for(int i = N - 1; i > 0; i--){
if(!v2[i].empty() && first_pointer == -1){
first_pointer = i;
}
if(v2[i].size() > 1 && second_pointer == -1){
second_pointer = i;
}
}
while(first_pointer > 0){
int x = v2[first_pointer].back();
v.push_back(res[x].back());
v2[first_pointer].pop_back();
res[x].pop_back();
if(second_pointer > 0 && v2[second_pointer].size() != 0){
int y = v2[second_pointer].back();
v.push_back(res[y].back());
v2[second_pointer].pop_back();
res[y].pop_back();
if(!res[y].empty()){
v2[res[y].size()].push_back(y);
}
if((first_pointer == second_pointer && v2[res[y].size() + 1].size() <= 1) || (first_pointer != second_pointer && v2[res[y].size() + 1].size() == 0)){
second_pointer--;
}
}
if(!res[x].empty()){
v2[res[x].size()].push_back(x);
}
if(v2[res[x].size() + 1].size() == 0){
first_pointer--;
}
}
if(v.size() % 2 == 1){
for(int i = 1; i <= subtreeValue; i++){
for(int j = 0; j < res2[i].size(); j++){
if(res2[i][j] != v.back()){
v.push_back(res2[i][j]);
break;
}
}
if(v.size() % 2== 0){
break;
}
}
}
for(int i = 0; i < (int)v.size(); i += 2){
cout << v[i] << " " << v[i + 1] << "\n";
}
}
Compilation message (stderr)
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