#include<iostream>
#include<stack>
#include<map>
#include<vector>
#include<string>
#include<unordered_map>
#include <queue>
#include<cstring>
#include<float.h>
#include<limits.h>
#include <cassert>
#include<cmath>
#include<set>
#include<algorithm>
#include <iomanip>
#include<numeric> //gcd(a,b)
#include<bitset>
using namespace std;
#define ll long long
#define f first
#define endl "\n"
#define s second
#define pii pair<int,int>
#define ppii pair<int,pii>
#define vi vector<int>
#define pb push_back
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define F(n) for(int i=0;i<n;i++)
#define lb lower_bound
#define ub upper_bound
#define fastio ios::sync_with_stdio(false);cin.tie(NULL);
#pragma GCC optimize ("03,unroll-loops")
using namespace std;
#define int long long
#define double long double
const int mod=998244353,mxn=1e5,lg=22;//inf=1e18,minf=-1e18,Mxn=100000;
vector<int>adj[mxn+10];
int dp[mxn+10][22],hvy[mxn+10],sz[mxn+10];
pii info[mxn+10];
vector<int>v[mxn+10];
int n,m,k;
int ans=0;
void init(int cur,int p){
sz[cur]=1;
for(auto i:adj[cur]){
init(i,cur);
sz[cur]+=sz[i];
}
for(auto i:adj[cur])if(sz[hvy[cur]]<sz[i])hvy[cur]=i;
}
void dfs(int cur,int p){
for(auto i:adj[cur])dfs(i,cur);
for(auto i:adj[cur])for(int j=0;j<=k;j++)dp[cur][j]+=dp[i][j];
dp[cur][info[cur].f]+=info[cur].s;
for(int j=1;j<=k;j++)dp[cur][j]=max(dp[cur][j],dp[cur][j-1]);
}
void solve(int cur,int p){
for(auto i:adj[cur])solve(i,cur);
if(hvy[cur])swap(v[cur],v[hvy[cur]]);
for(auto i:adj[cur])if(i!=hvy[cur])for(auto j:v[i])v[cur].pb(j);
sort(all(v[cur]));
if(info[cur].s==0)return;
auto it=upper_bound(all(v[cur]),info[cur].f);
int pos=it-v[cur].begin();
if(it!=v[cur].end())(*it)=info[cur].f;
else v[cur].pb(info[cur].f);
}
int32_t main(){
fastio
cin>>n>>m>>k;
for(int i=2;i<=n;i++){
int p;cin>>p;
adj[p].pb(i);
}
for(int i=0;i<m;i++){
int v,d,w;cin>>v>>d>>w;
info[v]={d,w};
}
if(k<=20){//sub 1 4 5
dfs(1,-1);
for(int i=0;i<=k;i++)ans=max(ans,dp[1][i]);
cout<<ans;
}
else{
//sub w=1
init(1,-1);
solve(1,-1);
cout<<v[1].size();
}
return 0;
}
