//Trumling ©
//Αφόδευε υψηλά και ηγνάντει
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define pb push_back
#define F first
#define S second
#define enter cout<<'\n';
#define INF 99999999999999999
#define MOD 1000000007
#define all(x) x.begin(),x.end()
vector<vector<ll>>g;
vector<pair<ll,ll>>f;
ll k;
ll seg[40000];
void update(int l,int r,int idx,int p,ll u)
{
if(l>p || r<p)
return ;
if(l==r)
{
seg[idx]=u;
return ;
}
update(l,(l+r)/2,idx*2,p,u);
update((l+r)/2+1,r,idx*2+1,p,u);
seg[idx]=max(seg[idx*2],seg[idx*2+1]);
}
ll query(int l,int r,int idx,int L,int R)
{
if(l>R || r<L)
return 0;
if(L<=l && r<=R)
return seg[idx];
return max(query(l,(l+r)/2,idx*2,L,R),query((l+r)/2+1,r,idx*2+1,L,R));
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
ll n,m;
cin>>n>>m>>k;
g.assign(n+1,vector<ll>());
f.assign(n+1,{0,0});
for(int i=2;i<=n;i++)
{
ll x;
cin>>x;
g[i].pb(x);
g[x].pb(i);
}
for(int i=0;i<m;i++)
{
ll x,y,z;
cin>>x>>y>>z;
f[x]={y,z};
}
for(int i=n;i>=1;i--)
if(f[i].F!=0)
{
ll q=query(1,k,1,1,f[i].F);
// cout<<f[i].F<<','<<q<<' ';
update(1,k,1,f[i].F,q+1);
}
cout<<seg[1];
}
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