#include <iostream>
#include <vector>
#include <algorithm>
#include <set>
#include <cassert>
using namespace std;
using ll = long long;
#define int ll
#define fore(i, a, b) for(int i=a; i<b; ++i)
#define sz(x) (int)x.size()
#define all(x) x.begin(), x.end()
#define pb(x) push_back(x)
#define vi vector<int>
const int N = 2e5+5;
vi adj[N];
int n;
int tam[N];
void dfs(int x, int prev=-1){
tam[x] = 1;
for(int child : adj[x]){
if(child == prev) continue;
dfs(child, x);
tam[x] += tam[child];
}
}
vi closest(int x, set<int> &A){
vi res;
auto it = A.lower_bound(x);
if(it != A.end()){
res.pb(*it);
}
if(it != A.begin()){
it--;
res.pb(*it);
}
return res;
}
int balance(int x, int y, int z){
return max({x, y, z}) - min({x, y, z});
}
int f(int x, set<int> &A, set<int> &B, int pre=-1){
// A -> Es ancestro
// B -> No es ancestro
int res = 1e9;
// primer caso
for(int p : closest((n + tam[x]) / 2, A)){
res = min(res, balance(tam[x], p-tam[x], n-p));
}
// segundo caso
for(int p : closest((n - tam[x]) / 2, B)){
res = min(res, balance(tam[x], p, n-tam[x]-p));
}
A.insert(tam[x]);
for(int child : adj[x]){
if(child == pre) continue;
res = min(res, f(child, A, B, x));
}
A.erase(tam[x]);
B.insert(tam[x]);
return res;
}
signed main(){
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin >> n;
fore(i, 0, n-1){
int u, v;
cin >> u >> v;
adj[u].pb(v);
adj[v].pb(u);
}
dfs(1);
set<int> A, B;
int ans = f(1, A, B, -1);
cout << ans;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
6488 KB |
Output is correct |
2 |
Correct |
2 ms |
6488 KB |
Output is correct |
3 |
Correct |
2 ms |
6492 KB |
Output is correct |
4 |
Correct |
2 ms |
6492 KB |
Output is correct |
5 |
Correct |
2 ms |
6492 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
6488 KB |
Output is correct |
2 |
Correct |
2 ms |
6488 KB |
Output is correct |
3 |
Correct |
2 ms |
6492 KB |
Output is correct |
4 |
Correct |
2 ms |
6492 KB |
Output is correct |
5 |
Correct |
2 ms |
6492 KB |
Output is correct |
6 |
Correct |
3 ms |
6492 KB |
Output is correct |
7 |
Correct |
3 ms |
6580 KB |
Output is correct |
8 |
Correct |
2 ms |
6488 KB |
Output is correct |
9 |
Correct |
3 ms |
6492 KB |
Output is correct |
10 |
Correct |
3 ms |
6492 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
6488 KB |
Output is correct |
2 |
Correct |
2 ms |
6488 KB |
Output is correct |
3 |
Correct |
2 ms |
6492 KB |
Output is correct |
4 |
Correct |
2 ms |
6492 KB |
Output is correct |
5 |
Correct |
2 ms |
6492 KB |
Output is correct |
6 |
Correct |
3 ms |
6492 KB |
Output is correct |
7 |
Correct |
3 ms |
6580 KB |
Output is correct |
8 |
Correct |
2 ms |
6488 KB |
Output is correct |
9 |
Correct |
3 ms |
6492 KB |
Output is correct |
10 |
Correct |
3 ms |
6492 KB |
Output is correct |
11 |
Correct |
112 ms |
13976 KB |
Output is correct |
12 |
Correct |
130 ms |
14060 KB |
Output is correct |
13 |
Correct |
95 ms |
14912 KB |
Output is correct |
14 |
Correct |
124 ms |
14788 KB |
Output is correct |
15 |
Correct |
161 ms |
13904 KB |
Output is correct |
16 |
Correct |
74 ms |
14532 KB |
Output is correct |
17 |
Correct |
117 ms |
14216 KB |
Output is correct |
18 |
Correct |
143 ms |
23720 KB |
Output is correct |
19 |
Correct |
159 ms |
14536 KB |
Output is correct |
20 |
Correct |
118 ms |
14188 KB |
Output is correct |