// kodda saçma sapan şeyler yapmış olabilirim
// bitmedi okuldan sonra tekrar bakacağım :))
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define OYY LLONG_MAX
#define faster ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
#define fi first
#define se second
#define FOR for(int i=1;i<=n;i++)
#define mid (start+end)/2
#define pb push_back
#define lim 1505
typedef long long lo;
int n,d;
vector<int> v[lim];
int cev;
map<int,int> dp[lim];
int dep[lim];
inline void pre(int node,int ata){
dep[node]=dep[ata]+1;
for(auto go:v[node]){
pre(go,node);
}
}
inline int cal(int node,int x){
return dep[node]+x;
}
inline void f(int node){
dp[node][cal(node,0)]=1;
int cur=0;
for(auto go:v[node]){
f(go);
dp[node][cal(node,0)]+=dp[go][cal(go,d-1)];
//~ if(dp[node].size()<dp[go].size()){
//~ cur=max(cur,(int)dp[node].size());
//~ swap(dp[node],dp[go]);
//~ }
}
for(int j=1;j<=cur;j++){
int tot=0,tot2=0,maxi=0;
for(auto go:v[node]){
tot+=dp[go][cal(go,d-j-1)];
tot2+=dp[go][cal(go,j-1)];
maxi=max(maxi,dp[go][cal(go,j-1)]);
}
for(auto go:v[node]){
tot-=dp[go][cal(go,d-j-1)];
tot+=dp[go][cal(go,j-1)];
if(j<=d-j)dp[node][cal(node,j)]=max(dp[node][cal(node,j)],tot);
tot-=dp[go][cal(go,j-1)];
tot+=dp[go][cal(go,d-j-1)];
}
if(j>=d-j){
dp[node][cal(node,j)]=max(dp[node][cal(node,j)],tot2);
}
}
for(int j=cur;j>=0;j--){
dp[node][cal(node,j)]=max(dp[node][cal(node,j)],dp[node][cal(node,j+1)]);
cev=max(cev,dp[node][cal(node,j)]);
}
}
int32_t main(){
faster
cin>>n>>d;
d=min(d,n+2);
FOR{
if(i==1)continue;
int x;cin>>x;
x++;
v[x].pb(i);
}
pre(1,0);
f(1);
FOR{
cout<<i<<endl;
for(int j=0;j<=d;j++){
cout<<dp[i][j]<<" ";
}
cout<<endl;
}
cout<<cev<<'\n';
return 0;
}
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