#include <bits/stdc++.h>
using namespace std;
int n, k;
int p[100000];
vector<int> child[100000];
signed main() {
    cin >> n >> k;
    vector<int> colour(n);
    for (int i = 0; i < n; i++) cin >> colour[i];
    for (int i = 1; i < n; i++) {
        cin >> p[i];
        child[p[i]].push_back(i);
    }
    vector<int> freq(k,0);
    int ans = 0;
    for (int i = n-1; i >= 0; i--) {
        freq[colour[i]]++;
        ans = max(ans, freq[colour[i]]);
    }
    cout << ans << " " << 0 << "\n";
} 
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