This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "circuit.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const ll mod = 1000002022;
vector<pair<ll, ll>>a;
vector<int>P;
vector<int>A;
vector<vector<int>>c;
int N, M;
void calc(int i)
{
    int d = c[i].size();
    vector<ll> k(d + 2, 0ll);
    k[0] = 1;
    for (int j : c[i])
    {
        int v0 = a[j].first;
        int v1 = a[j].second;
        for (int t = d; t >= 0; t--)
        {
            k[t + 1] += v1 * k[t];
            k[t + 1] %= mod;
            k[t] = v0 * k[t];
            k[t] %= mod;
        }
    }
    a[i] = {0ll, 0ll};
    for (int t = 0; t <= d; t++)
    {
        a[i].second += k[t] * t;
        a[i].second %= mod;
        a[i].first += k[t] * (d - t);
        a[i].first %= mod;
    }
}
void init(int N_, int M_, vector<int> P_, vector<int> A_) {
    P = P_;
    A = A_;
    N = N_;
    M = M_;
    a = vector<pair<ll, ll>>(N + M);
    c = vector<vector<int>>(N + M);
    for (int i = 1; i < N + M; i++)
        c[P[i]].push_back(i);
    for (int i = N + M - 1; i >= N; i--)
    {
        if (A[i - N] == 1)
            a[i] = {0, 1};
        else
            a[i] = {1, 0};
    }
    for (int i = N - 1; i >= 0; i--)
        calc(i);
}
int count_ways(int L, int R) {
    set<int, greater<int>>Q;
    for (int i = L; i <= R; i++)
    {
        swap(a[i].first, a[i].second);
        Q.insert(P[i]);
    }
    while (!Q.empty())
    {
        int i = *(Q.begin());
        Q.erase(Q.begin());
        if (i != 0)
            Q.insert(P[i]);
        calc(i);
    }
    return (int)a[0].second;
}
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