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 <bits/stdc++.h>
#define ll long long
#define sz(x) (int)x.size()
#define ar array
#include "circuit.h"
using namespace std;
const int mod = int(1e9) + 2022;
void fadd(int &a, int b) {
a += b;
if (a >= mod) a -= mod;
}
void fsub(int &a, int b) {
a -= b;
if (a < 0) a += mod;
}
vector<int> p, a, sub, sub2, val;
vector<vector<int>> adj;
int n, m;
void init(int N, int M, std::vector<int> P, std::vector<int> A) {
n = N, m = M;
p = P, a = A;
adj.resize(N), sub.resize(N+M, 1), sub2.resize(N+M, 1);
for (int i = 1; i < N + M; i++) adj[P[i]].emplace_back(i);
for (int i = N-1; i >= 0; i--) {
sub[i] = sz(adj[i]);
int cur = sz(adj[i]);
vector<int> pref(cur), suff(cur);
for (int j = 0; j < cur; j++) {
pref[j] = suff[j] = sub[adj[i][j]];
}
for (int j = 1; j < cur; j++) pref[j] = (ll)pref[j-1] * pref[j] % mod;
for (int j = cur-2; j >= 0; j--) suff[j] = (ll)suff[j+1] * suff[j] % mod;
for (int j = 0; j < cur; j++) {
int u = adj[i][j];
sub[i] = (ll)sub[i] * sub[u] % mod;
sub2[u] = (ll)(j ? pref[j-1] : 1) * (j+1 < cur ? suff[j+1] : 1) % mod;
}
}
val.resize(N+M);
val[0] = 1;
for (int i = 1; i < N + M; i++) val[i] = (ll)val[p[i]] * sub2[i] % mod;
}
int count_ways(int L, int R) {
for (int i = L; i <= R; i++) a[i - n] ^= 1;
int ans = 0;
for (int i = n; i < n+m; i++) if (a[i - n]) fadd(ans, val[i]);
return ans;
}
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