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>
#define suiii ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define ll long long
#define co cout<<
//#pragma GCC optimize("O3,Ofast,unroll-loops")
//#pragma GCC target("avx2,sse3,sse4,avx")
using namespace std;
//stuff
ll n;
vector<ll>v[1000001];
ll dp[1000001];
ll dep[1000001];
vector<pair<ll,ll>>v1;
ll par[1000001];
void make_dp(ll x){
for(auto i:v1){
ll sum=v[i.second].size()-1;
if(i.second==1) sum++;
for(auto j:v[i.second]){
if(j==par[j]) continue;
sum+=dp[j];
}
dp[i.second]=max(0ll,sum-x);
}
}
void dfs(ll x,ll last){
par[x]=last;
v1.push_back({dep[last]+1,x});
dep[x]=dep[last]+1;
for(auto i:v[x]){
if(i==last) continue;
dfs(i,x);
}
}
void solve(){
cin>>n;
for(int i=0;i<n-1;i++){
ll a,b;
cin>>a>>b;
v[a].push_back(b);
v[b].push_back(a);
}
dfs(1,-1);
sort(v1.begin(),v1.end());
reverse(v1.begin(),v1.end());
ll l,r,ans=0;
l=0,r=1e6;
while(l<=r){
ll mid=(l+r)/2;
make_dp(mid);
if(dp[1]==0){
r=mid-1;
ans=mid;
}
else l=mid+1;
}
co ans;
}
int main()
{
suiii
int tt=1;
// cin>>tt;
while(tt--){
solve();
}
return 0;
}
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