This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//0 - n-1 = non leaf, n - m-1 = leaf
#include "circuit.h"
#include <bits/stdc++.h>
// #define signed int
#define int long long
using namespace std;
const int mod = 1e9 + 2022;
int n, m, k, x, y, z;
int dp[200005][2];
vector<signed> par, gph[200005];
void dfs(int id) {
	int L = -1, R = -1;
	if (gph[id].size()) L = gph[id][0], R = gph[id][1];
	else return;
	dfs(L), dfs(R);
	dp[id][0] = dp[L][1] * dp[R][0] + dp[L][0] * dp[R][1] + 2 * dp[L][0] * dp[R][0];
	dp[id][1] = dp[L][1] * dp[R][0] + dp[L][0] * dp[R][1] + 2 * dp[L][1] * dp[R][1];
	dp[id][0] %= mod;
	dp[id][1] %= mod;
}
void init(signed N, signed M, std::vector<signed> P, std::vector<signed> A) {
	n = N, m = M, par = P;
	for (int i = 1; i < n + m; i++) gph[P[i]].push_back(i);
	for (int i = n; i < m; i++) dp[i][A[i-n]] = 1;
	dfs(0);
}
signed count_ways(signed L, signed R) {
	swap(dp[L][0], dp[R][1]);
	int id = par[L];
	while (id != -1) {
		int L = gph[id][0], R = gph[id][1];
		dp[id][0] = dp[L][1] * dp[R][0] + dp[L][0] * dp[R][1] + 2 * dp[L][0] * dp[R][0];
		dp[id][1] = dp[L][1] * dp[R][0] + dp[L][0] * dp[R][1] + 2 * dp[L][1] * dp[R][1];
		dp[id][0] %= mod;
		dp[id][1] %= mod;
		id = par[id];
	}
	return dp[0][1];
}
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