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 <bits/stdc++.h>
typedef int ll;
using namespace std;
#define FOR(i, x, y) for(ll i=x; i<y; i++)
#define FORNEG(i, x, y) for(ll i=x; i>y; i--)
#define fast() ios_base::sync_with_stdio(false);cin.tie(NULL)
basic_string<ll> edges[200001];
ll possible[200001];
ll contrib[200001];
ll dps[200001];
vector<int> p;
int initdfs(ll a){
if (edges[a].size() == 0) return possible[a] = 1;
ll temp = 1;
for (auto&i : edges[a]){
temp *= initdfs(i);
temp %= 1000002022;
}
temp *= edges[a].size();
temp %= 1000002022;
return possible[a] = temp;
}
int dp(ll a){
if (a==0) return 1;
if (dps[a] != -1) return dps[a];
ll temp = 1;
for (auto&i : edges[p[a]]){
if (i != a) temp *= possible[i];
temp %= 1000002022;
}
dps[a] = temp * dp(p[a]) % 1000002022;
return dps[a];
}
ll n,m;
const ll NN = (1<<18);
ll tree[NN*2];
ll actual[NN*2];
ll lazy[NN*2];
int actupd(ll a, ll b, ll val, ll k=1, ll x = 0, ll y = NN-1){
if (b<x || a>y) return actual[k];
if (a<=x && y<=b){
actual[k] += val;
actual[k] %= 1000002022;
return actual[k];
}
ll mid = (x+y)/2;
actual[k] = actupd(a,b,val,k*2, x, mid) + actupd(a,b,val,k*2+1, mid+1, y);
actual[k] %= 1000002022;
return actual[k];
}
void prop(ll k){
lazy[k*2] += lazy[k];
lazy[k*2+1] += lazy[k];
if (lazy[k] %2==1){
tree[k] = (actual[k] - tree[k]+1000002022)%1000002022;
}
lazy[k] = 0;
}
int upd(ll a, ll b, ll k=1, ll x = 0, ll y = NN-1){
if (b<x || a>y) return lazy[k]%2==0 ? tree[k] : ((actual[k] - tree[k]+1000002022)%1000002022);
if (a<=x && y<=b){
lazy[k] += 1;
return lazy[k]%2==0 ? tree[k] : ((actual[k] - tree[k]+1000002022)%1000002022);
}
ll mid = (x+y)/2;
prop(k);
tree[k] = upd(a,b,k*2, x, mid) + upd(a,b,k*2+1, mid+1, y);
tree[k] %= 1000002022;
return lazy[k]%2==0 ? tree[k] : ((actual[k] - tree[k]+1000002022)%1000002022);
}
void init(int N, int M, std::vector<int> P, std::vector<int> A) {
FOR(i,0,200001) dps[i] = -1;
FOR(i,0,NN*2) tree[i] = 0, actual[i] = 0, lazy[i] = 0;
p = P;
n = N;
m = M;
FOR(i,1,N+M){
edges[P[i]].push_back(i);
}
initdfs(0);
FOR(i,N,N+M){
ll temp = possible[i];
temp *= dp(i);
contrib[i] = temp%1000002022;
}
FOR(i,n,n+m){
actupd(i-n+1, i-n+1, contrib[i]);
}
FOR(i,0,NN*2) tree[i] = actual[i];
FOR(i,n,n+m){
if (A[i-n] == 0){
upd(i-n+1, i-n+1);
}
}
}
int count_ways(int L, int R) {
upd(L-n+1, R-n+1);
return lazy[1]%2==0 ? tree[1] : ((actual[1] - tree[1]+1000002022)%1000002022);
}
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