#include <bits/stdc++.h>
#define ll long long
#define pb push_back
#define eb emplace_back
#define pu push
#define ins insert
#define fi first
#define se second
#define all(a) a.begin(),a.end()
#define bruh ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
#define fu(x,a,b) for (auto x=a;x<=b;x++)
#define fd(x,a,b) for (auto x=a;x>=b;x--)
#define int ll
using namespace std;
//mt19937 mt(chrono::steady_clock::now().time_since_epoch().count());
/*
Competitive Programming notes that I need to study & fix my dumbass self:
1. Coding:
- Always be sure to check the memory of arrays (maybe use vectors), for loops
- Always try to maximize the memory if possible, even if you are going for subtasks
- Do not exploit #define int long long, it will kill you
2. Stress:
- Always try generating big testcases and try if they run
3. Time management:
- Don't overcommit or undercommit, always spend a certain amount of time to think a problem, don't just look at it and say I'm fucked
- Do not spend too much time coding brute-force solutions, they should be easily-codable solutions that don't take up too much time
Time management schedule:
Offline / LAH days (4 problems - 3h):
15' thinking of solution / idea
1. no idea: skip
2. yes idea: continue thinking for <= 15'
+ implementing: <= 20'
+ brute-force: <= 5'
+ test generator: <= 5'
I hate offline because I am dumb
*/
typedef pair<int, int> ii;
const int N = 1e5+5;
const int B = 750;
const int mod = 1e9+7;
const int inf = 1e18;
using cd = complex<double>;
const long double PI = acos(-1);
int power(int a,int b) {ll x = 1;if (a >= mod) a%=mod; while (b) {if (b & 1) x = x*a % mod;a = a*a % mod;b>>=1;}return x;}
int n,m,k,s;
vector<ii> adj[N];
int h[N], tin[N], tout[N], timer = 0, par[N];
map<int, int> mp;
bool good[N];
void dfs(int u, int p)
{
par[u] = p;
if (u > n && k > h[u])
{
for (int i = 1; i * i <= (k-h[u]); i++)
{
if (mp[i] > 0 || mp[(k-h[u]) / i] > 0)
{
good[u] = 1;
break;
}
}
}
int x = u;
while (x != -1)
{
mp[h[u] - h[x]]++;
x = par[x];
}
tin[u] = ++timer;
for (auto i : adj[u])
{
int v = i.fi, w = i.se;
if (v == p) continue;
h[v] = h[u] + w;
dfs(v, u);
}
x = u;
while (x != -1)
{
mp[h[u] - h[x]]--;
x = par[x];
}
tout[u] = timer;
}
void solve()
{
cin>>n>>m>>k>>s;
for (int i = 1; i <= n; i++)
{
int p, l;
cin>>p>>l;
// cout<<p<<" "<<i<<" "<<l<<endl;
adj[p].pb({i, l});
}
for (int i = 1; i <= m; i++)
{
int p, l;
cin>>p>>l;
// cout<<p<<" "<<i+n<<" "<<l<<endl;
adj[p].pb({i+n, l});
}
dfs(0, -1);
mp.clear();
for (int i = 0; i <= n; i++) mp[h[i]] = 1;
for (int i = 1; i <= m; i++)
{
// cout<<i+n<<" "<<h[i+n]<<endl;
if (h[i+n] == k) cout<<"YES"<<endl;
else if (h[i+n] > k)
{
int u = i+n;
bool check = 0;
while (u != -1)
{
// cout<<u<<" "<<k+h[u]-h[i+n]-s<<endl;
if (mp[k+h[u]-h[i+n]-s])
{
check = 1;
break;
}
u = par[u];
}
if (check) cout<<"YES";
else cout<<"NO";
cout<<endl;
} else
{
if (good[i+n])
{
cout<<"YES"<<endl;
continue;
}
int u = i+n;
bool check = 0;
while (u != -1)
{
if (mp[k+h[u]-h[i+n]-s])
{
check = 1;
break;
}
u = par[u];
}
if (check)
{
cout<<"YES"<<endl;
continue;
}
cout<<"NO"<<endl;
}
}
}
/*
Go through the mistakes you usually make and revise your code, for god's sake...
*/
signed main()
{
bruh
//freopen("input.inp","r",stdin);
//freopen("output.inp","w",stdout);
int t = 1;
// cin>>t;
while (t--)
{
solve();
cout<<"\n";
}
}
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