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];
bool bfs(ll x){
queue<array<ll,3>>q;
ll extra=0,mx=0;
q.push({1,-1,1});
while(q.size()){
auto inp=q.front();
q.pop();
ll a,last,dep;
a=inp[0];
last=inp[1];
dep=inp[2];
if(mx<dep){
extra+=x;
mx=dep;
}
for(auto i:v[a]){
if(i==last) continue;
extra--;
q.push({i,a,dep+1});
}
if(extra<0) return 0;
}
return 1;
}
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);
}
ll l,r,ans=0;
l=0,r=n;
while(l<=r){
ll mid=(l+r)/2;
if(bfs(mid)){
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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