#include <bits/stdc++.h>
#define int long long
#define sz(a) (int)a.size()
#define all(a) a.begin(),a.end()
#define rall(a) a.rbegin(),a.rend()
using namespace std;
vector<vector<int>> child;
vector<vector<int>> achild;
vector<vector<int>> afilechild;
vector<int> depth;
vector<int> a;
vector<int> f;
vector<int> parent;
vector<int> dv;
vector<vector<int>> divs;
int n,m,k,s;
int in=0;
int c=1;
void prep(int x, int d){
d+=a[x];
depth[x]=d;
for (auto u : child[x]) prep(u,d);
}
void dfs(int x){
if(x>=n-m) return;
for (auto u : child[x]) dfs(u);
c++;
dv[s]=c;
for (int j=0; j<sz(achild[x]); j++) {
if(depth[achild[x][j]]-depth[x]+s<=k) dv[depth[achild[x][j]]-depth[x]+s]=c;
}
for (int _j=0; _j<sz(achild[x]); _j++)
{
for (int j=0; j<sz(divs[achild[x][_j]]); j++) {
if(dv[divs[achild[x][_j]][j]]==c) {
f[achild[x][_j]]=true;
break;
}
}
}
}
signed main() {
cin >> n >> m >> k >> s;
n+=m+1;
depth.resize(n);
dv.resize(k+1,0);
divs.resize(n);
child.resize(n);
achild.resize(n);
afilechild.resize(n);
f.resize(n);
f.resize(n);
a.resize(n);
parent.resize(n);
s++;
for (int i = 1; i < n; i++) {
int p;
cin >> p>> a[i]; a[i]++;
child[p].push_back(i);
parent[i]=p;
}
a[0]=0;
parent[0]=-1;
prep(0,0);
for (int i = n-m; i < n; i++)
{
int x=k-depth[i];
if(x<=0) continue;
for (int j = 1; j <= sqrt(x); j++)
{
if(x%j==0){
divs[i].push_back(j);
divs[i].push_back(x/j);
}
}
}
dfs(0);
c++;
for (int i = 0; i < n-m; i++)
{
if(depth[i]+s>k) continue;
dv[depth[i]+s]=c;
}
for (int i = 0; i < n-m; i++){
int u=i;
while(u>-1){
achild[u].push_back(i);
u=parent[u];
}
}
for (int i = n-m; i < n; i++){
int u=parent[i];
while(u>-1){
afilechild[u].push_back(i);
u=parent[u];
}
}
for (int i = n-m; i < n; i++){
int u=parent[i];
if(depth[i]==k||(k-depth[i])%s==0) f[i]=true;
while(u>-1){
int x=depth[i]-depth[u];
int v=k-x;
if(v>=0&&dv[v]==c) f[i]=true;
u=parent[u];
}
}
for (int i = n-m; i < n; i++)
{
if(f[i]) cout << "YES\n";
else cout << "NO\n";
}
return 0;
}
