#include<bits/stdc++.h>
using namespace std;
#define sp <<' '<<
#define se second
#define fi first
#define pb push_back
#define FOR(i,a) for(int i=0;i<(a);i++)
#define FORE(i,a,b) for(int i=(a);i<(b);i++)
#define DEBUG(x) cout<<#x sp x<<endl
#define mid (l+r)/2
typedef vector<int> vi;
typedef pair<int,int> pii;
typedef vector<pii> vii;
const int MAXN=2e5+5;
int n,k;
vi a;
int p[MAXN];
vi adj[MAXN];
int say[MAXN];
pii ans;
void dfs(int nd,int ata){
for(auto kom:adj[nd]){
if(kom==ata) continue;
dfs(kom,nd);
}
say[a[nd]]++;
if(ans.fi<say[a[nd]]){
ans={say[a[nd]],0};
}
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(0);cout.tie(0);
cin>>n>>k;
a.resize(n+1);
FORE(i,1,n+1) cin>>a[i];
FORE(i,2,n+1){
cin>>p[i];
p[i]++;
adj[p[i]].pb(i);
}
ans={1,0};
dfs(1,-1);
cout<<ans.fi sp ans.se<<endl;
}
