/*
Telebe of Adicto && Mamedov yani AzeTurk810
I see humans but no humanity
*/
#include <algorithm>
#include <iostream>
#include <vector>
// mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
using ll = long long;
using namespace std;
#define ln '\n'
#define INFi 1e9
#define INFll 1e18
#ifdef ONPC
#include <algo.hpp>
#else
#define dbg(...)
#define dbg_out(...)
#define myassert(Expr, Msg) ;
#endif
int n, k, ans, res;
vector<vector<int>> adj, mxlvl;
vector<int> pa, colour, inT, outT, lvl, szlvl;
int timer = 0;
inline void systemd() {
adj.assign(n, vector<int>(0));
szlvl.assign(n + 1, 0);
mxlvl.assign(k, vector(n + 1, 0));
pa.resize(n);
colour.assign(n, 0);
inT.resize(n, 0);
outT.resize(n);
lvl.assign(n, 0);
}
void dfs1(int v) {
inT[v] = timer++;
mxlvl[colour[v]][lvl[v]]++;
for (auto &u : adj[v]) {
if (u == pa[v])
continue;
lvl[u] = lvl[v] + 1;
dfs1(u);
}
outT[v] = timer;
}
void dfs(int v, int c) {
szlvl[lvl[v]]++;
for (auto &u : adj[v]) {
if (u == pa[v])
continue;
dfs(u, c);
}
dbg(v);
if (colour[v] == c)
res++;
// res += min(szlvl[lvl[v] + 1], mxlvl[c][lvl[v] + 1]);
}
char solve() {
if (!(cin >> n >> k))
return 1;
systemd();
vector<int> cnt(k + 1, 0);
for (int &i : colour) {
cin >> i;
cnt[i]++;
}
cout << *max_element(cnt.begin(), cnt.end()) << ' ' << 0 << ln;
return 1;
for (size_t i = 1; i < n; i++) {
cin >> pa[i];
adj[pa[i]].push_back(i);
adj[i].push_back(pa[i]);
}
ans = 1;
dfs1(0);
dbg(lvl);
dbg(colour);
for (size_t v = 0; v < n; v++) {
res = 0;
szlvl.assign(n + 2, 0);
dfs(v, colour[v]);
ans = max(ans, res);
}
cout << ans << " 0"<< ln;
return 0;
}
// Attack on titan<3
signed main() {
ios::sync_with_stdio(0);
cin.tie(nullptr);
int t = 1e9;
// cin >> t;
for (int cases = 0; cases < t; cases++) {
if (solve())
break;
#ifdef ONPC
cerr << "__________\n";
#endif
}
}
// Just Imaginary
/*
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⢀⣴⣾⠀⠀⠀⡀⢀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣦⣾⣿⣿⣿⣿⣿⡆⠁⠀⢀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⡠⠂⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠠⠔⠚⣿⣿⣿⣿⣿⣦⡄⠀⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⠠⠐⢂⠉⡀⣀⣤⣄⢻⣿⣿⡟⢈⡹⣿⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡀⠄⠂⠈⠀⣶⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⣷⡀⠀⡀⠐⠂⠐⢄
⠀⠀⠀⠀⠀⠀⠀⣿⣿⠟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣾⣷⠯⠀⠤⠤⠄⠈
⠀⠀⠀⠀⠀⠀⣼⣿⡟⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣰⣿⠋⠀⠀⢠⣾⣿⣿⣿⣿⣿⣭⠟⢻⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀
⠀⠀⠀⣀⣶⡟⠁⠀⢾⣶⣿⠟⠉⠈⢻⣿⣿⣿⣦⣜⠀⠛⠛⠿⠁⠀⠀⠀⠀⠀
⠚⠻⠿⠿⡿⠁⠀⢠⣿⣿⠁⠀⣠⠖⠋⠉⠻⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣰⣿⡿⠃⠠⠊⠁⠀⠀⠀⠀⠈⢿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣠⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⣴⠾⠟⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
*/
