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#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a,b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a,b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif
/*
refs:
edi (took hints from the solution to the two inputs subtask)
*/
const int MOD = 1000002022;
const int N = 2e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
#include "circuit.h"
template<typename T>
struct lazysegtree {
/*=======================================================*/
struct data {
array<ll,2> a;
};
struct lazy {
ll a;
};
data d_neutral = {{0,0}};
lazy l_neutral = {0};
void merge(data &curr, data &left, data &right) {
rep(j,2){
curr.a[j] = (left.a[j]+right.a[j])%MOD;
}
}
void create(int x, int lx, int rx, T v) {
tr[x].a[v.ff] = v.ss;
}
void modify(int x, int lx, int rx, T v) {
lz[x].a = 1;
}
void propagate(int x, int lx, int rx) {
ll v = lz[x].a;
if(!v) return;
swap(tr[x].a[0],tr[x].a[1]);
if(rx-lx > 1){
lz[2*x+1].a ^= 1;
lz[2*x+2].a ^= 1;
}
lz[x] = l_neutral;
}
/*=======================================================*/
int siz = 1;
vector<data> tr;
vector<lazy> lz;
lazysegtree() {
}
lazysegtree(int n) {
while (siz < n) siz *= 2;
tr.assign(2 * siz, d_neutral);
lz.assign(2 * siz, l_neutral);
}
void build(vector<T> &a, int n, int x, int lx, int rx) {
if (rx - lx == 1) {
if (lx < n) {
create(x, lx, rx, a[lx]);
}
return;
}
int mid = (lx + rx) / 2;
build(a, n, 2 * x + 1, lx, mid);
build(a, n, 2 * x + 2, mid, rx);
merge(tr[x], tr[2 * x + 1], tr[2 * x + 2]);
}
void build(vector<T> &a, int n) {
build(a, n, 0, 0, siz);
}
void rupd(int l, int r, T v, int x, int lx, int rx) {
propagate(x, lx, rx);
if (lx >= r or rx <= l) return;
if (lx >= l and rx <= r) {
modify(x, lx, rx, v);
propagate(x, lx, rx);
return;
}
int mid = (lx + rx) / 2;
rupd(l, r, v, 2 * x + 1, lx, mid);
rupd(l, r, v, 2 * x + 2, mid, rx);
merge(tr[x], tr[2 * x + 1], tr[2 * x + 2]);
}
void rupd(int l, int r, T v) {
rupd(l, r + 1, v, 0, 0, siz);
}
data query(int l, int r, int x, int lx, int rx) {
propagate(x, lx, rx);
if (lx >= r or rx <= l) return d_neutral;
if (lx >= l and rx <= r) return tr[x];
int mid = (lx + rx) / 2;
data curr;
data left = query(l, r, 2 * x + 1, lx, mid);
data right = query(l, r, 2 * x + 2, mid, rx);
merge(curr, left, right);
return curr;
}
data query(int l, int r) {
return query(l, r + 1, 0, 0, siz);
}
};
vector<ll> adj[N];
vector<ll> sub_ways(N);
void dfs1(ll u){
sub_ways[u] = max((ll)sz(adj[u]),1ll);
trav(v,adj[u]){
dfs1(v);
sub_ways[u] = sub_ways[u]*sub_ways[v]%MOD;
}
}
ll n,m;
vector<int> a;
vector<ll> contrib;
void dfs2(ll u, ll val){
auto children = adj[u];
if(children.empty()){
contrib[u-n] = val;
return;
}
ll siz = sz(children);
children.insert(children.begin(),0);
vector<ll> pref(siz+5), suff(siz+5);
pref[0] = 1, suff[siz+1] = 1;
rep1(i,siz){
ll v = children[i];
pref[i] = pref[i-1]*sub_ways[v]%MOD;
}
rev(i,siz,1){
ll v = children[i];
suff[i] = suff[i+1]*sub_ways[v]%MOD;
}
rep1(i,siz){
ll v = children[i];
ll new_val = val*pref[i-1]%MOD*suff[i+1]%MOD;
dfs2(v,new_val);
}
}
lazysegtree<pll> st;
void init(int n_, int m_, std::vector<int> P, std::vector<int> A) {
n = n_, m = m_;
a = A;
contrib = vector<ll>(m);
rep(i,n+m){
if(P[i] != -1){
adj[P[i]].pb(i);
}
}
dfs1(0);
dfs2(0,1);
vector<pll> b;
rep(i,m) b.pb({a[i],contrib[i]});
st = lazysegtree<pll>(m);
st.build(b,m);
}
int count_ways(int l, int r) {
l -= n, r -= n;
st.rupd(l,r,{1,1});
ll ans = st.query(0,m-1).a[1];
return ans;
}
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