#include <bits/stdc++.h>
using namespace std;
vector<int> a, depth;
vector<vector<int>> adj, freq;
void dfs(int cur, int p) {
depth[cur] = depth[p]+1;
freq[a[cur]][depth[cur]]++;
for (auto e : adj[cur]) dfs(e, cur);
}
vector<pair<int, int>> f;
void dfs2(int cur, int p, int color) {
f[depth[cur]].first += (a[cur] == color ? 1 : 0);
f[depth[cur]].second++;
for (auto e : adj[cur]) dfs2(e, cur, color);
}
int main() {
// subtask 2: k <= 2
ios_base::sync_with_stdio(0);
cin.tie(NULL);
int n, k;
cin >> n >> k;
a.resize(n);
for (int i = 0; i < n; i++) cin >> a[i];
adj.resize(n);
for (int i = 1; i < n; i++) {
int p;
cin >> p;
adj[p].push_back(i);
}
depth.resize(n);
depth[0] = -1;
freq.resize(k, vector<int>(n));
dfs(0, 0);
int ans1 = 0, ans2 = INT_MAX;
int x = 0, mn = INT_MAX;
for (int i = 0; i < n; i++) {
if (a[i] == a[0]) ans1++, ans2 = 0;
else {
if (depth[i] < mn) {
x = i;
mn = depth[i];
}
}
}
f.resize(n);
dfs2(x, x, a[x]);
int cnt = 0, swaps = 0;
for (int j = 0; j < n; j++) {
cnt += f[j].first;
if (freq[a[x]][j] > f[j].first) {
int temp = min(freq[a[x]][j]-f[j].first, f[j].second-f[j].first);
cnt += temp;
swaps += temp;
}
}
if (cnt > ans1) {
ans1 = cnt;
ans2 = swaps;
}
cout << ans1 << ' ' << ans2 << '\n';
return 0;
}
