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("unroll-loops,Ofast,O3")
#include <bits/stdc++.h>
#define pb push_back
#define mp make_pair
#define spc << " " <<
#define endl "\n"
#define all(x) x.begin(), x.end()
#define ll long long
#define int long long
#define ii pair<int,int>
#define vi vector<int>
#define vii vector<ii>
#define st first
#define nd second
#define inf 1000000009
#define MOD 998244353
using namespace std;
vi edges[200005];
int sub[200005], par[200005];
int n, ans1=0, ans2=0;
int lim;
void subby(int node){
sub[node]=1;
for(auto i:edges[node]){
if(par[node]==i || i==0) continue;
par[i]=node;
subby(i);
sub[node]+=sub[i];
}
}
int diefes(int node){
for(auto i:edges[node]){
if(par[node]==i) continue;
if(sub[i]>n/2) return diefes(i);
}
return node;
}
void dfs(int node){
int flag=1;
for(auto i:edges[node]){
if(par[node]==i) continue;
if(sub[i]>=lim){
flag=0;
dfs(i);
}
}
if(flag){
if(ans1==0) ans1=node;
else ans2=node;
}
}
void solve(){
cin >> n;
lim = (n-1)/3+1;
for(int i=1; i<n; i++){
int a, b;cin>>a>>b;
edges[a].pb(b);
edges[b].pb(a);
}
par[1]=0;
subby(1);
int cent = diefes(1);
par[cent]=0;
subby(cent);
cerr << "**" spc cent spc "**\n";
//for(int i=1; i<=n; i++) cerr << i spc sub[i] << endl;
dfs(cent);
cerr << ans1 spc ans2 << endl;
if(ans1==cent){
int moxi=0;
for(auto i:edges[cent]) moxi=max(moxi, sub[i]);
sub[ans1]=moxi;
}
else if(ans2==0){
int maxi=0;
for(auto i:edges[cent]) if(i!=ans1) maxi=max(maxi, sub[i]);
sub[ans2]=maxi;
}
int temp = sub[cent] - sub[ans1] - sub[ans2];
int res = max(max(sub[ans2], temp), sub[ans1]) - min(min(sub[ans2], temp), sub[ans1]);
cout << res << endl;
}
signed main(){
ios_base::sync_with_stdio(false);cin.tie(0);
#ifdef Local
freopen("in","r",stdin);
freopen("out","w",stdout);
#endif
ll t=1;
//cin >> t;
while(t--) solve();
}
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