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 int long long
#define all(x) x.begin(),x.end()
#define ff first
#define ss second
#define pb push_back
using namespace std;
const int N=1005;
vector <int> g[N];
int d[N][N];
int ans[N];
signed main(){
int n;
cin>>n;
for(int i=0;i<n-1;i++){
int u,v;
cin>>u>>v;
g[u].pb(v);
g[v].pb(u);
}
queue <int> q;
for(int i=1;i<=n;i++){
q.push(i);
d[i][i]=0;
while(!q.empty()){
int v=q.front();
q.pop();
for(auto to : g[v]){
if(d[i][to]==0 && to!=i){
d[i][to]=d[i][v]+1;
q.push(to);
}
}
}
}
for(int i=0;i<(1<<n);i++){
vector <int> v;
for(int j=0;j<n;j++){
if((i & (1<<j))!=0){
v.pb(j);
}
}
int mn=1e9,cnt=0;
for(int i=1;i<=n;i++){
int sum=0;
for(auto x : v){
sum+=d[i][x+1];
}
if(sum<mn){
mn=sum;
cnt=1;
}
else if(sum==mn)cnt++;
}
ans[v.size()]=max(ans[v.size()],cnt);
}
for(int i=1;i<=n;i++){
cout<<ans[i]<<"\n";
}
}
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