#include<bits/stdc++.h>
using namespace std;
#define ff first
#define ss second
#define pb push_back
const int N=3e5;
vector<int>v[N];
int lvl[N];
int col[N];
map<int,int>cnt[N];
int par[N];
vector<pair<int,int>>vc[N];
pair<int,int>ans;
bool vis[N];
bool ld[N];
void df(int a ){
if(vis[col[a]]==0){
ld[a]=1;
}
vis[col[a]]=1;
cnt[lvl[a]][col[a]]++;
for(auto b:v[a]){
lvl[b]=lvl[a]+1;
df(b);
}
}
void dfs(int a ){
bool u=ld[a];
pair<int,int>t={1,0};
int c=col[a];
map<int,int>mp,pm;
int h=0;
vc[a].pb({lvl[a],col[a]});
for(auto b:v[a]){
dfs(b);
if(v[b].size()>v[a].size()){
swap(v[b],v[a]);
}
for(auto p:vc[b]){
vc[a].pb(p);
if(u){
h=max(h,p.ff);
if(p.ss==c){
mp[p.ff]++;
}
else{
pm[p.ff]++;
}
}
}
}
if(u==0)return;
for(int i=lvl[a]+1; i<=h;i++){
t.ff+=mp[i];
t.ff+=min(pm[i],(cnt[i][c]-mp[i]));
t.ss-=min(pm[i],(cnt[i][c]-mp[i]));
}
ans=max(ans,t);
}
signed main(){
int n,k;
cin>>n>>k;
int mx=0;
for(int i=0;i<n;i++){
cin>>col[i];
}
for(int i=1;i<n;i++){
cin>>par[i];
v[par[i]].pb(i);
}
df(0);
dfs(0);
cout<<ans.ff<<" "<<-ans.ss<<endl;
}
