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;
#define int long long
const int N = 2e5 + 7;
int n,ans = 1e18 + 7,subt[N];
vector < int > tree[N];
multiset < int > path , notpath;
inline int eval(int a , int b , int c){
return max({abs(a-b) , abs(a-c) , abs(b-c)});
}
inline vector < int > closest_set(int tar , multiset < int > &ste){
vector < int > ret;
auto hi = ste.lower_bound(tar);
auto lo = --ste.lower_bound(tar);
if(hi != ste.end())ret.push_back(*hi);
if(hi != ste.begin())ret.push_back(*lo);
return ret;
}
inline void dfs0(int node , int past){
subt[node] = 1;
for(auto itr : tree[node]){
if(itr != past){
dfs0(itr,node);
subt[node] += subt[itr];
}
}
}
inline void dfs1(int node , int past){
if(path.size()){
for(auto cand : closest_set((n+subt[node])/2 , path)){
ans = min(ans , eval(n-cand,cand-subt[node],subt[node]));
}
}
if(notpath.size()){
for(auto cand : closest_set((n-subt[node])/2 , notpath)){
ans = min(ans , eval(n-cand-subt[node],cand,subt[node]));
}
}
path.insert(subt[node]);
for(auto itr : tree[node]){
if(itr != past){
dfs1(itr,node);
}
}
path.erase(path.find(subt[node]));
notpath.insert(subt[node]);
}
void solve(){
cin >> n;
for(int i = 1;i<n;i++){
int u,v;cin >> u >> v;
tree[u].push_back(v);
tree[v].push_back(u);
}
//precalc : subtree size
dfs0(1,0);
dfs1(1,0);
cout << ans << endl;
}
signed main(){
ios_base::sync_with_stdio(0);cin.tie(0);
int testcase = 1;//cin >> testcase;
while(testcase--)solve();
}
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