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"
#pragma GCC optimize ("O3")
#include <bits/stdc++.h>
#define pii pair<int, int>
#define piii pair<pii, int>
#define vi vector<int>
#define vll vector<ll>
#define vvi vector<vi>
#define vpii vector<pii>
#define vvpii vector<vpii>
#define f first
#define s second
#define oo 1000000001
#define eb emplace_back
#define pb push_back
#define mpr make_pair
#define size(v) (int)v.size()
#define ln '\n'
#define ull unsigned long long
#define ll long long
#define all(v) v.begin(), v.end()
using namespace std;
const int mod = 1e9 + 2022;
const int up = 1e5 + 5;
vvi tree;
vi reNum, realNode, suff;
vi cont, psum;
int n, m;
int tme = 0;
void dfs1(int v) {
if (v < n) {
reNum[v] = tme;
realNode[tme] = v;
tme++;
}
for (int to : tree[v]) {
dfs1(to);
}
}
int pre = 1, tmr = 0;
void dfs2(int v) {
if (v >= n) {
cont[v - n] = (1ll * pre * suff[tmr]) % mod;
} else {
tmr++;
}
for (int to : tree[v]) {
dfs2(to);
}
if (v < n) {
pre = (1ll * pre * size(tree[v])) % mod;
}
}
int segTree[up << 2];
int lazy[up << 2];
void build(int v, int l, int r, vi &A) {
if (l == r) {
segTree[v] = A[l] * cont[l];
} else {
int mid = (l + r) >> 1;
build(v << 1, l, mid , A);
build((v << 1) | 1, mid + 1, r, A);
segTree[v] = (segTree[v << 1] + segTree[(v << 1) | 1]) % mod;
}
}
void relax(int v, int l, int r) {
lazy[v] = 0;
int total = psum[r + 1] - psum[l];
if (total < 0) total += mod;
segTree[v] = total - segTree[v];
if (segTree[v] < 0) segTree[v] += mod;
if (l != r) {
lazy[v << 1] ^= 1;
lazy[(v << 1) | 1] ^= 1;
}
}
void update(int v, int l, int r, int ul, int ur) {
if (lazy[v]) relax(v, l, r);
if (r < ul || ur < l) return;
if (ul <= l && r <= ur) {
relax(v, l, r);
} else {
int mid = (l + r) >> 1;
update(v << 1, l, mid, ul, ur);
update((v << 1) | 1, mid + 1, r, ul, ur);
segTree[v] = (segTree[v << 1] + segTree[(v << 1) | 1]) % mod;
}
}
void init(int N, int M, vi P, vi A) {
n = N; m = M;
tree.resize(N + M);
for (int i = 1; i < N + M; ++i) {
tree[P[i]].eb(i);
}
reNum.resize(N);
realNode.resize(N);
dfs1(0);
suff.resize(N + 1);
suff[N] = 1;
for (int i = N - 1; i >= 0; --i) {
suff[i] = (1ll * suff[i + 1] * size(tree[realNode[i]])) % mod;
}
cont.resize(M);
dfs2(0);
psum.resize(M + 1);
psum[0] = 0;
for (int i = 0; i < M; ++i) {
psum[i + 1] = psum[i] + cont[i];
if (psum[i + 1] >= mod) psum[i + 1] -= mod;
}
build(1, 0, M - 1, A);
}
int count_ways(int L, int R) {
update(1, 0, m - 1, L - n, R - n);
return segTree[1];
}
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