This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("Ofast")
#include<bits/stdc++.h>
using namespace std;
#define pb push_back
#define fi first
#define se second
#define sz(a) (int)(a.size())
#define all(a) a.begin(),a.end()
#define lb lower_bound
#define ub upper_bound
#define owo ios_base::sync_with_stdio(0);cin.tie(0);
#define MOD (ll)(998244353)
#define INF (ll)(1e18)
#define debug(...) fprintf(stderr, __VA_ARGS__),fflush(stderr)
#define time__(d) for(long blockTime = 0; (blockTime == 0 ? (blockTime=clock()) != 0 : false);\
debug("%s time : %.4fs\n", d, (double)(clock() - blockTime) / CLOCKS_PER_SEC))
typedef long long int ll;
typedef long double ld;
typedef pair<ll,ll> PII;
typedef pair<int,int> pii;
typedef vector<vector<int>> vii;
typedef vector<vector<ll>> VII;
ll gcd(ll a,ll b){if(!b)return a;else return gcd(b,a%b);}
const int MAXN = 2e5;
int ans = 1e9,n;
vii adj(MAXN);
int sub[MAXN];
multiset<int>a,b;
void dfs0(int v,int u){
sub[v] = 1;
for(int x:adj[v]){
if(x==u)continue;
dfs0(x,v);
sub[v]+=sub[x];
}
}
void dfs(int v,int u){
//sub[i] ,sub[j] and n-sub[i]-sub[j]
//we want sub[j] and n-sub[i]-sub[j] to be as close as possible
//sub[j] = n-sub[i]-sub[j]
//sub[j] = n-sub[i]/2;
auto it = a.lb((n-sub[v])/2);
if(it != a.end())ans = min(ans,max({sub[v],*it,n-sub[v]-*it}) - min({sub[v],*it,n-sub[v]-*it}));
if(it != a.begin()){
it--;
ans = min(ans,max({sub[v],*it,n-sub[v]-*it}) - min({sub[v],*it,n-sub[v]-*it}));
}
//ancestor
//sub[i] , n-sub[j] , sub[j] - sub[i];
//n - sub[j] = sub[j] - sub[i]
//sub[j] = (n+sub[i])/2
it = b.lb((n+sub[v])/2);
if(it != b.end())ans = min(ans,max({sub[v],*it-sub[v],n-*it}) - min({sub[v],*it-sub[v],n-*it}));
if(it != b.begin()){
it--;
ans = min(ans,max({sub[v],*it-sub[v],n-*it}) - min({sub[v],*it-sub[v],n-*it}));
}
b.insert(sub[v]);
for(int x:adj[v]){
if(x==u)continue;
dfs(x,v);
}
b.erase(b.find(sub[v]));
a.insert(sub[v]);
}
int main()
{
owo
cin>>n;
for(int i=0;i<n-1;i++){
int v,u;
cin>>v>>u;
adj[v].pb(u);
adj[u].pb(v);
}
dfs0(1,0);
dfs(1,0);
cout<<ans;
}
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