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>
#include <vector>
using namespace std;
typedef long long ll;
const int maxn=2e5+10;
const int mod=1e9+2022;
int n,m;
vector<int> g[maxn];
vector<int> p,a;
int add(int a,int b){
return (a+b)%mod;
}
int mul(int a,int b){
return ll(a)*ll(b)%mod;
}
int bruk[maxn];
int power[maxn];
void dfs(int node){
bruk[node]=1;
if(node<n) bruk[node]=mul(bruk[node],g[node].size());
for(int i:g[node]){
dfs(i);
bruk[node]=mul(bruk[node],bruk[i]);
}
}
void dfs2(int node,int tren){
if(node>=n){
power[node-n]=tren;
return;
}
vector<int> pref(g[node].size());
vector<int> suf(g[node].size());
for(int i=0;i<(int)g[node].size();i++){
if(i==0) pref[i]=bruk[g[node][i]];
else pref[i]=mul(pref[i-1],bruk[g[node][i]]);
}
for(int i=(int)g[node].size()-1;i>=0;i--){
if(i==(int)g[node].size()-1) suf[i]=bruk[g[node][i]];
else suf[i]=mul(suf[i+1],bruk[g[node][i]]);
}
for(int i=0;i<(int)g[node].size();i++){
int ntren=tren;
if(i>0) ntren=mul(ntren,pref[i-1]);
if(i<(int)g[node].size()-1) ntren=mul(ntren,suf[i+1]);
dfs2(g[node][i],ntren);
}
}
pair<int,int> segt[4*maxn];
int lazy[4*maxn];
void update(int t,int v1,int v0,int ind=1,int l=0,int r=m-1){
if(l==r){
segt[ind].first=v1;
segt[ind].second=v0;
return;
}
int mid=(l+r)/2;
if(t<=mid) update(t,v1,v0,2*ind,l,mid);
else update(t,v1,v0,2*ind+1,mid+1,r);
segt[ind].first=add(segt[2*ind].first,segt[2*ind+1].first);
segt[ind].second=add(segt[2*ind].second,segt[2*ind+1].second);
}
void push(int ind){
if(!lazy[ind]) return;
swap(segt[2*ind].first,segt[2*ind].second);
swap(segt[2*ind+1].first,segt[2*ind+1].second);
lazy[2*ind]^=1;
lazy[2*ind+1]^=1;
lazy[ind]=0;
}
void flip(int tl,int tr,int ind=1,int l=0,int r=m-1){
if(l!=r) push(ind);
if(tl<=l && r<=tr){
swap(segt[ind].first,segt[ind].second);
lazy[ind]^=1;
return;
}
int mid=(l+r)/2;
if(tl<=mid) flip(tl,tr,2*ind,l,mid);
if(tr>mid) flip(tl,tr,2*ind+1,mid+1,r);
segt[ind].first=add(segt[2*ind].first,segt[2*ind+1].first);
segt[ind].second=add(segt[2*ind].second,segt[2*ind+1].second);
}
void init(int N,int M, vector<int> P, vector<int> A) {
n=N; m=M; p=P; a=A;
for(int i=1;i<n+m;i++) g[p[i]].push_back(i);
dfs(0);
dfs2(0,1);
for(int i=0;i<m;i++){
int v1=power[i];
int v0=0;
if(!a[i]) swap(v1,v0);
update(i,v1,v0);
}
}
int count_ways(int L, int R) {
L-=n;
R-=n;
flip(L,R);
return segt[1].first;
}
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