#include "circuit.h"
#include <bits/stdc++.h>
using namespace std;
#define mod 1000002022
#define ll long long
ll n,m;
ll to[5001],tf[5001],cs[200001];
vector <ll> v[200001];
vector <vector<ll>> dp[5001];
ll calc(ll i,ll j,ll k){
if(j==(int)v[i].size()){
if(k==0) return dp[i][j][k]=1;
else return dp[i][j][k]=0;
}
if(dp[i][j][k]!=-1) return dp[i][j][k];
ll ans=0;
if(k!=0) ans+=(calc(i,j+1,k-1)*to[v[i][j]])%mod;
ans%=mod;
ans+=(calc(i,j+1,k)*(tf[v[i][j]]-to[v[i][j]]+mod))%mod;
ans%=mod;
return dp[i][j][k]=ans;
}
void solve(ll i){
to[i]=tf[i]=0;
for(int j=0;j<v[i].size();j++){
for(int k=0;k<=v[i].size();k++) dp[i][j][k]=-1;
}
if(n<=i){
if(cs[i]==1) to[i]=1;
else to[i]=0;
tf[i]=1;
//cout<<i<<" "<<to[i]<<" "<<tf[i]<<endl;
return;
}
//cout<<"YUP"<<" "<<i<<" "<<v[i].size()<<endl;
tf[i]=1;
for(ll j:v[i]){
solve(j);
tf[i]=(tf[i]*tf[j])%mod;
}
tf[i]*=(int)v[i].size();
tf[i]%=mod;
for(ll k=1;k<=v[i].size();k++){
calc(i,0,k);
to[i]=(to[i]+dp[i][0][k]*k)%mod;
//cout<<"HERE "<<i<<" "<<k<<" "<<dp[i][0][k]<<endl;
}
//cout<<i<<" "<<to[i]<<" "<<tf[i]<<endl;
return;
}
void init(int N, int M, std::vector<int> P, std::vector<int> A) {
n=N;m=M;
for(int i=0;i<m;i++) cs[i+n]=A[i];
for(int i=1;i<n+m;i++) v[P[i]].push_back(i);
for(int i=0;i<n;i++){
ll siz=v[i].size();
dp[i].resize(siz+2,vector <ll> (siz+2));
}
//cout<<"HERE "<<cs[3]<<" "<<cs[4]<<endl;
//cout<<"END BUILD"<<endl;
return;
}
int count_ways(int L, int R){
for(int i=L;i<=R;i++) {
cs[i]^=1;
}
// for(int i=n;i<n+m;i++) cout<<cs[i]<<" ";
// cout<<endl;
solve(0);
//cout<<"YES"<<endl;
// cout<<"HERE "<<cs[6]<<" "<<cs[5]<<endl;
//cout<<"END"<<endl;
return to[0];
}
// 3 4 3
// -1 0 1 2 1 1 0
// 1 0 1 0
// 3 4
// 4 5
// 3 6
// 1 7 3
// -1 0 0 0 0 0 0 0
// 1 1 1 1 1 1 1
// 1 1
// 2 2
// 4 7
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