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;
// macros
typedef long long ll;
typedef long double ld;
typedef pair<int, int> ii;
typedef pair<ll, ll> lll;
typedef tuple<int, int, int> iii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<iii> viii;
typedef vector<ll> vll;
typedef vector<lll> vlll;
#define REP(a,b,c) for(int a=int(b); a<int(c); a++)
#define RE(a,c) REP(a,0,c)
#define RE1(a,c) REP(a,1,c+1)
#define REI(a,b,c) REP(a,b,c+1)
#define REV(a,b,c) for(int a=int(c-1); a>=int(b); a--)
#define FOR(a,b) for(auto& a : b)
#define all(a) a.begin(), a.end()
#define INF 1e9
#define EPS 1e-9
#define pb push_back
#define popb pop_back
#define fi first
#define se second
#define sz size()
// input
template<class T> void IN(T& x) {cin >> x;}
template<class H, class... T> void IN(H& h, T&... t) {IN(h); IN(t...); }
// output
template<class T1, class T2> void OUT(const pair<T1,T2>& x);
template<class T> void OUT(const T& x) {cout << x;}
template<class H, class... T> void OUT(const H& h, const T&... t) {OUT(h); OUT(t...); }
template<class T1, class T2> void OUT(const pair<T1,T2>& x) {OUT(x.fi," ",x.se);}
template<class... T> void OUTL(const T&... t) {OUT(t..., "\n"); }
//===================//
// Added libraries //
//===================//
//===================//
//end added libraries//
//===================//
void program();
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
program();
}
//===================//
// begin program //
//===================//
const int MX = 2e5;
int n, m, k;
int p[MX];
int v[MX], d[MX], w[MX];
int D[MX], W[MX];
vi chl[MX];
map<ll,ll> dp[MX];
void add(map<ll,ll>& mp, ll d, ll w) {
mp[d] += w;
auto it = mp.upper_bound(d);
while(w && it!=mp.end()) {
if(w >= it->se) {
w -= it->se;
it = mp.erase(it);
} else {
it->se -= w;
w = 0;
}
}
}
void combine(map<ll,ll>& a, map<ll,ll>& b) {
if(a.sz < b.sz) swap(a,b);
FOR(p,b) a[p.fi] += p.se;
}
void program() {
IN(n,m,k);
REI(i,2,n) IN(p[i]);
RE(i,m) IN(v[i],d[i],w[i]);
RE1(i,n) D[i]=k+1, W[i]=0;
RE(i,m) D[v[i]]=d[i], W[v[i]]=w[i];
REI(i,2,n) chl[p[i]].pb(i);
REV(i,2,n+1) {
if(W[i]) add(dp[i], D[i], W[i]);
combine(dp[p[i]], dp[i]);
}
ll ans=0;
FOR(p,dp[1]) ans+=p.se;
OUTL(ans);
}
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