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 <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];
int pa[N];
void dfs(int x, int prev=-1){
tam[x] = 1;
pa[x] = prev;
for(int child : adj[x]){
if(child == prev) continue;
dfs(child, x);
tam[x] += tam[child];
}
}
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
if(A.lower_bound((n+tam[x])/2) != A.end()){
int p = *A.lower_bound((n + tam[x]) / 2);
res = min(res, max({tam[x], p-tam[x], n-p}) - min({tam[x], p-tam[x], n-p}));
}
if(A.lower_bound((n + tam[x]) / 2) != A.begin()){
int p = *prev(A.lower_bound((n + tam[x])/2));
res = min(res, max({tam[x], p-tam[x], n-p}) - min({tam[x], p-tam[x], n-p}));
}
// segundo caso
if(B.lower_bound((n - tam[x])/2) != B.end()){
int q = *B.lower_bound((n - tam[x]) / 2);
res = min(res, max({tam[x], q, n-tam[x]-q}) - min({tam[x], q, n-tam[x]-q}));
}
if(B.lower_bound((n - tam[x])/2) != B.begin()){
int q = *prev(B.lower_bound((n - tam[x]) / 2));
res = min(res, max({tam[x], q, n-tam[x]-q}) - min({tam[x], q, n-tam[x]-q}));
}
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;
// complete task
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;
}
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