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#include "circuit.h"
#include <algorithm>
#include <iostream>
#include <numeric>
#include <vector>
typedef long long llong;
const int MAXN = 200000 + 10;
const int MOD = 1000002022;
const int INF = 1e9;
int n, m;
llong w[MAXN];
llong b[MAXN];
llong pw[MAXN];
llong multBy[MAXN];
std::vector <int> g[MAXN];
void initDFS(int node)
{
if (g[node].empty())
{
pw[node] = 1;
return;
}
pw[node] = g[node].size();
for (const int &i : g[node])
{
initDFS(i);
pw[node] *= pw[i];
pw[node] %= MOD;
}
}
void findMult(int node, llong mult)
{
if (g[node].empty())
{
multBy[node] = mult;
return;
}
for (const int &i : g[node])
{
findMult(i, mult * ((pw[node] / pw[i]) / g[node].size()));
}
}
void init(int N, int M, std::vector <int> P, std::vector <int> A)
{
n = N;
m = M;
for (int i = 1 ; i < n + m ; ++i)
{
g[P[i] + 1].push_back(i + 1);
}
for (int i = n + 1 ; i <= n + m ; ++i)
{
if (A[i - n - 1] == 0)
{
w[i] = 1;
b[i] = 0;
} else
{
b[i] = 1;
w[i] = 0;
}
}
initDFS(1);
findMult(1, 1);
}
int count_ways(int L, int R)
{
L++; R++;
for (int i = L ; i <= R ; ++i)
{
std::swap(b[i], w[i]);
}
llong res = 0;
for (int i = n + 1 ; i <= n + m ; ++i)
{
res += multBy[i] * b[i];
if (res >= MOD) res -= MOD;
}
return res;
}
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