#include<bits/stdc++.h>
using namespace std;
int c[100005];
vector<int>adj[100005];
int cnt[100005];
map<int,int>lvl[100005];
map<int,int>has[100005];
pair<int,int> ans[100005];
pair<int,int>rans;
pair<int,int>rrans;
int d[100005];
void dfscnt(int u,int p,int val){
d[u]=d[p]+1;
for(auto x:adj[u]){
dfscnt(x,u,val);
}
if(c[u]==val)cnt[d[u]]++;
//cerr<<"depth:"<<d[u]<<" "<<cnt[d[u]]<<' '<<val<<"\n";
}
void dfs(int u,int p,int val){
for(auto x:adj[u]){
dfs(x,u,val);
}
//cerr<<"u:"<<u<<"\n";
for(auto x:adj[u]){
if(lvl[x].size()>lvl[u].size())swap(lvl[x],lvl[u]),swap(ans[x],ans[u]),swap(has[x],has[u]);
//cerr<<"add x:"<<x<<"\n";
for(auto [d,freq]:lvl[x]){
int cur=min(lvl[u][d]+lvl[x][d],cnt[d]);
int prv=min(lvl[u][d],cnt[d]);
//cerr<<cur<<" "<<prv<<" "<<d<<" "<<has[x][d]<<" "<<has[u][d]<<"\n";
ans[u].first+=(cur-prv);
ans[u].second+=cur-has[x][d]-has[u][d];
lvl[u][d]+=lvl[x][d];
has[u][d]+=has[x][d];
}
}
lvl[u][d[u]]++;
if(cnt[d[u]]){
ans[u].first++;
}
if(c[u]==val){
has[u][d[u]]++;
if(ans[u].first>rans.first)rans=ans[u];
else if(ans[u].first==rans.first)rans.second=min(rans.second,ans[u].second);
//cerr<<"ANS:"<<u<<":"<<ans[u].first<<' '<<ans[u].second<<"\n";
}
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
int n,k;cin>>n>>k;
for(int i=0;i<n;i++){
cin>>c[i+1];
}
for(int i=1;i<n;i++){
int x;cin>>x;
adj[x+1].push_back(i+1);
}
rrans={0,0};
for(int i=0;i<k;i++){
rans={0,0};
for(int i=1;i<=n;i++)has[i].clear(),lvl[i].clear(),ans[i]={0,0},cnt[i]=0;
dfscnt(1,0,i);
dfs(1,0,i);
if(rans.first>rrans.first)rrans=rans;
else if(rans.first==rrans.first)rrans.second=min(rrans.second,rans.second);
}
cout<<rrans.first<<" "<<rrans.second;
}
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