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>
using namespace std;
const int mxn=3e3+5,mxs=1e6+5;
int n,m,s,k,par[mxn*2],dis[mxn*2];
bitset<mxn>b[mxs];
vector<int>all,v[mxn];
bool mark[mxs],ans[mxn*2];
void make(int x,bool y){
int z=x;
while(x!=0){
x=par[x];
int d=dis[z]-dis[x];
if(d<=k)mark[d]=y;
}
}
void dfs(int z){
b[z]=((b[par[z]]<<(dis[z]-dis[par[z]]))|b[par[z]]);
b[z][s]=1;
for(auto i:v[z]){
dfs(i);
}
}
int main(){
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
cin>>n>>m>>k>>s;
s++;
for(int i=1;i<=n+m;i++){
int x,y;
cin>>x>>y;
par[i]=x;
dis[i]=dis[x]+y+1;
if(i<=n){
all.push_back(dis[i]);
v[x].push_back(i);
}
}
all.push_back(0);
for(int i=n+1;i<=n+m;i++){
make(i,1);
if(dis[i]==k)ans[i]=1;
for(auto j:all){
int res=k-j-s;
if(res>=0 && mark[res])ans[i]=1;
}
make(i,0);
}
dfs(0);
for(int i=n+1;i<=n+m;i++){
int x=k-dis[i];
if(x<0)continue;
for(int j=1;j*j<=x;j++){
if(x%j==0 && b[par[i]][x/j]==1)ans[i]=1;
if(x%j==0 && b[par[i]][j]==1)ans[i]=1;
}
}
for(int i=n+1;i<=n+m;i++){
if(ans[i])
cout<<"YES"<<'\n';
else
cout<<"NO"<<'\n';
}
return 0;
}
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