#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
using namespace std;
typedef long long int ll;
typedef vector<ll> vi;
typedef vector<vector<ll>> vvi;
typedef pair<ll,ll> pi;
typedef map<ll,ll> mi;
typedef long double ld;
typedef vector<ld> vd;
typedef vector<vector<ld>> vvd;
typedef pair<ld,ld> pd;
#define ff first
#define ss second
#define srt(a) sort(a.begin(),a.end());
#define fip(k, n) for (ll i = k; i < n; i++)
#define fjp(k, n) for (ll j = k; j < n; j++)
#define fin(k, n) for (ll i = k; i >= n; i--)
#define fjn(k, n) for (ll j = k; j >= n; j--)
#define fp(k, n, m) for (ll k = n; k < m; k++)
#define fn(k, n, m) for (ll k = n; k >= m; k--)
#define ordered_set tree<pi, null_type,less< pi >, rb_tree_tag,tree_order_statistics_node_update>
#define totalOne(n) __builtin_popcount(n)
#define backZero(n) __builtin_ctzll(n)
#define frontZero(n) __builtin_clzll(n)
#define fx(k) for ( auto x : k )
#define test ll t;cin >> t;while (t--)
#define nli "\n"
// ==========================(debug)============================================================================================== //
#ifdef SAMI
#define debug(x) cerr<<#x;cerr<<" ";_printn(x);cerr<<nli;
#define debg() cerr<<nli;
#else
#define debug(x)
#define debg()
#endif
void _printn(ll x){ cerr<<x<<" "; }
void _printn(int x){ cerr<<x<<" "; }
void _printn(ld x){ cerr<<x<<" "; }
void _printn(double x){ cerr<<x<<" "; }
void _printn(string x){ cerr<<x<<" "; }
void _printn(char x){ cerr<<x<<" "; }
void _printn(bool x){ cerr<<x<<" "; }
template<class T,class V>void _printn(pair<T,V> vv);
template<class T> void _printn(vector<T> vv);
template<class T> void _printn(set<T> vv);
template<class T,class V> void _printn(map<T,V> vv);
template<class T> void _printn(multiset<T> vv);
template<class T,class V>void _printn(pair<T,V> vv){ cerr<<"( ";_printn(vv.ff);cerr<<",";_printn(vv.ss);cerr<<")";}
template<class T> void _printn(vector<T> vv){ cerr<<"[ "; for(auto xx:vv){ _printn(xx);cerr<<" "; } cerr<<"]"; };
template<class T> void _printn(set<T> vv){ cerr<<"{ "; for(auto xx:vv){ _printn(xx);cerr<<" "; } cerr<<"}"; };
template<class T> void _printn(multiset<T> vv){ cerr<<"{ "; for(auto xx:vv){ _printn(xx);cerr<<" "; } cerr<<"}"; };
template<class T,class V> void _printn(map<T,V> vv){ cerr<<"{ "; for(auto xx:vv){ _printn(xx);cerr<<" "; } cerr<<"}"; };
// ==========================(debug)============================================================================================== //
ll n,m,tp,tp2,res,cnt,sum,tptp,ans;
const ll mx = 5e5+5;
const ll mod = 1e9+7;
// ==========================(MOD)=============================================================================================== //
ll mod_add(ll aa,ll bb){ return ((aa%mod)+(bb%mod))%mod; }
ll mod_minus(ll aa,ll bb){ return (((aa%mod)-(bb%mod))+10*mod)%mod; }
ll mod_mul(ll aa,ll bb){ return ((aa%mod)*(bb%mod))%mod; }
ll mod_power(ll aa,ll bb){ aa%=mod; ll empowered = 1; bb%=mod-1; while(bb > 0){ if(bb & 1) empowered = mod_mul(empowered,aa); bb = bb >> 1; aa = mod_mul(aa,aa); } return empowered; }
ll mod_divi(ll aa,ll bb){ aa=mod_mul(aa,mod_power(bb,mod-2)); return aa; }
// ==========================(MOD)=============================================================================================== //
bool f = false;
ll a[mx];
vi adj[mx];
ll tnc[mx];
ll dp[mx];
ll dp2[mx];
ll dep[mx];
vi lis;
pi nas;
void dfs(ll u){
fx(adj[u]){
dep[x] = dep[u] + 1;
dfs(x);
}
return;
}
void dfs3(ll u){
if(a[u])
dp2[dep[u]]++;
fx(adj[u])
dfs3(x);
return;
}
void dfs4(ll u){
if(a[u]){
lis.push_back(u);
return;
}
fx(adj[u])
dfs4(x);
}
void process(){
fip(0,n+1)
dp2[i] = 0;
lis.clear();
dfs4(0);
queue<ll> q;
dfs3(0);
debug(lis);
fx(lis){
q.push(x);
ans = 0;
res = 0;
tptp = -41;
while(q.size()){
auto it = q.front();
q.pop();
tnc[dep[it]]++;
if(a[it])
dp[dep[it]]++;
for(auto y:adj[it])
q.push(y);
if(!q.size() || (q.size() && dep[q.front()] != dep[it])){
ans += min(tnc[dep[it]],dp2[dep[it]]);
res += (min(tnc[dep[it]],dp2[dep[it]]) - dp[dep[it]]);
tptp = dep[it];
}
}
q.push(x);
while(q.size()){
auto it = q.front();
q.pop();
tnc[dep[it]] = dp[dep[it]] = 0;
for(auto y:adj[it])
q.push(y);
}
debug(ans);
debug(res);
nas = max(nas,{ans,-res});
}
// cerr<<nli;
return;
}
int main(){
ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#ifdef SAMI
freopen("input1.txt", "r", stdin);
freopen("output1.txt", "w", stdout);
freopen("error1.txt", "w", stderr);
#endif // ONLINE_JUDGE
cin>>n>>m;
fip(0,n)
cin>>a[i];
ans = 0;
ll sr;
fip(1,n){
cin>>sr;
adj[sr].push_back(i);
}
nas = {-1e18,-1e18};
dep[0] = 0;
dfs(0);
process();
fip(0,n)
a[i] = 1-a[i];
process();
cout<<nas.ff<<" "<<(-nas.ss)<<nli;
cerr << "Time elapsed: " << setprecision(6) << 1000.0 * clock() / CLOCKS_PER_SEC << "ms\n";
return 0;
}
