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;
typedef long long ll;
const int mod=(1e9)+2022;
const int maxn=(2e5)+10;
vector<int> son[maxn];
int prod[maxn],n,m;
void dfs1(int u) {
prod[u]=1;
if ((int)son[u].size()==0) return;
prod[u]=(int)son[u].size();
for (int &v : son[u]) dfs1(v),prod[u]=(ll)prod[u]*prod[v]%mod;
}
int sum[maxn];
int pre[maxn],suf[maxn];
void dfs2(int u) {
int sz=(int)son[u].size();
for (int i=0;i<sz;i++) pre[i]=(ll)(i==0?1:pre[i-1])*prod[son[u][i]]%mod;
for (int i=sz-1;i>=0;i--) suf[i]=(ll)(i==sz-1?1:suf[i+1])*prod[son[u][i]]%mod;
for (int i=0;i<sz;i++) {
int v=son[u][i];
sum[v]=sum[u];
if (i) sum[v]=(ll)sum[v]*pre[i-1]%mod;
if (i<sz-1) sum[v]=(ll)sum[v]*suf[i+1]%mod;
}
for (int &v : son[u]) {
dfs2(v);
}
}
int flip[maxn*4];
int tr[maxn*4][2],col[maxn];
void pushup(int root) {
tr[root][0]=(tr[root<<1][0]+tr[root<<1|1][0])%mod;
tr[root][1]=(tr[root<<1][1]+tr[root<<1|1][1])%mod;
}
void build(int l,int r,int root) {
if (l==r) {
tr[root][0]=(col[l]?sum[l+n]:0);
tr[root][1]=(col[l]?0:sum[l+n]);
return;
}
int mid=(l+r)>>1;
build(l,mid,root<<1),build(mid+1,r,root<<1|1);
pushup(root);
}
void init(int _n, int _m, vector<int> P, vector<int> A) {
n=_n,m=_m;
for (int i=1;i<n+m;i++) son[P[i]].push_back(i);
dfs1(0);
sum[0]=1;
dfs2(0);
for (int i=0;i<m;i++) col[i]=A[i];
build(0,m-1,1);
}
void puttag(int root) {
flip[root]^=1,swap(tr[root][0],tr[root][1]);
}
void pushdown(int root) {
if (flip[root]) puttag(root<<1),puttag(root<<1|1),flip[root]=0;
}
void add(int L,int R,int l,int r,int root) {
if (L<=l&&r<=R) { puttag(root); return; }
int mid=(l+r)>>1; pushdown(root);
if (L<=mid) add(L,R,l,mid,root<<1);
if (mid<R) add(L,R,mid+1,r,root<<1|1);
pushup(root);
}
int count_ways(int l, int r) {
l-=n,r-=n;
add(l,r,0,m-1,1);
return tr[1][0];
}
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