#include "circuit.h"
#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
const int nax=2005;
const int MOD = 1e9 + 2022 ;
vector<int> adj[nax];
int a[nax];
long long dp[2][nax];
int n,m;
void dfs(int x,int p){
if(adj[x].size()==1&&x!=0){
if(x<n) dp[0][x]=1;
else dp[a[x-n+1]][x]=1;
return;
}
pair<int,int> child={-1,-1};
for(auto u:adj[x]){
if(u==p) continue;
if(child.fi==-1) child.fi=u;
else child.se=u;
dfs(u,x);
}
dp[0][x]+=dp[0][child.fi]*dp[1][child.se]+dp[1][child.fi]*dp[0][child.se]+dp[0][child.fi]*dp[0][child.se]*2;
dp[1][x]+=dp[0][child.fi]*dp[1][child.se]+dp[1][child.fi]*dp[0][child.se]+dp[1][child.fi]*dp[1][child.se]*2;
dp[0][x]%=MOD;
dp[1][x]%=MOD;
}
void init(int N, int M, std::vector<int> P, std::vector<int> A){
n=N;m=M;
for (int i = 1; i < M+N; ++i)
{
adj[i].push_back(P[i]);
adj[P[i]].push_back(i);
}
for (int i = 0; i < M; ++i)
{
a[i]=A[i];
}
}
int count_ways(int L, int R) {
memset(dp,0,sizeof dp);
L-=n;R-=n;
for (int i = L; i <= R; ++i) a[i]^=1;
dfs(0,-1);
return dp[1][0];
}
