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>
using namespace std;
int n,sol[200005],par[200005],reprez[200005],niv[200005],nr[200005];
vector<int> muchii[200005];
void dfs(int nod)
{
nr[nod]=1;
for(int i:muchii[nod])
if(i!=par[nod])
{
par[i]=nod;
niv[i]=niv[nod]+1;
if(reprez[nod]==0)
reprez[i]=i;
else
reprez[i]=reprez[nod];
dfs(i);
nr[nod]+=nr[i];
}
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
cin>>n;
for(int i=1;i<n;i++)
{
int a,b;
cin>>a>>b;
muchii[a].push_back(b);
muchii[b].push_back(a);
}
for(int i=1;i<=n;i++)
sol[i]=1;
for(int i=1;i<=n;i++)
{
par[i]=0;
reprez[i]=0;
niv[i]=1;
dfs(i);
for(int j=1;j<=n;j++)
if(j!=i)
{
int poz=2*min(n-nr[reprez[j]],nr[j]);
int lg=niv[j];
sol[poz]=max(sol[poz],lg);
}
}
for(int i=(n/2)*2;i>0;i-=2)
sol[i]=max(sol[i],sol[i+2]);
for(int i=1;i<=n;i++)
cout<<sol[i]<<'\n';
return 0;
}
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