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;
const long long MOD=1e9+2022;
//const int INF = INT_MAX;
vector<vector<int> > adi;
vector<int> par;
vector<int> state;
vector<vector<long long> > pos;
void update_node(int v){
int s=adi[v].size()+1;
vector<long long> cnt(s);
cnt[0] = 1;
for(auto u: adi[v]){
for(int i=s-1; i>=0; i--){
cnt[i] *= pos[u][0];
cnt[i]%=MOD;
if(0<i){
long long add = cnt[i-1]*pos[u][1];
add%=MOD;
cnt[i] += add;
cnt[i]%=MOD;
}
}
}
long long ssum=0ll;
pos[v][1]=0ll;
for(int i=s-1; i>=1; i--){
ssum += cnt[i];
ssum%=MOD;
pos[v][1] += ssum;
pos[v][1] %= MOD;
}
ssum=cnt[0];
pos[v][0]=0ll;
for(int i=1; i<s; i++){
pos[v][0] += ssum;
pos[v][0] %= MOD;
ssum += cnt[i];
ssum %= MOD;
}
}
void init(int n, int m, vector<int> p, vector<int> a) {
par = p;
state.assign(n+m, 0);
for(int i=0; i<m; i++){
state[n+i] = a[i];
}
adi.assign(n, {});
for(int i=1; i<n+m; i++){
adi[p[i]].push_back(i);
}
pos.assign(n+m, vector<long long> (2, 0));
for(int i=n; i<n+m; i++){
pos[i][state[i]] = 1;
}
for(int i=n-1; i>=0; i--){
update_node(i);
}
}
int count_ways(int L, int R) {
priority_queue<int> pq;
for(int i=L; i<=R; i++){
state[i] = 1-state[i];
pos[i][state[i]] = 1;
pos[i][1-state[i]] = 0;
pq.push(par[i]);
}
set<int> done;
while(!pq.empty()){
int v=pq.top();
pq.pop();
if(done.find(v)!=done.end()) continue;
done.insert(v);
update_node(v);
if(par[v]!=-1){
pq.push(par[v]);
}
}
return pos[0][1];
}
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