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;
typedef long long ll;
#define int ll
typedef pair<int,int> pi;
typedef vector <int> vi;
typedef vector <pi> vpi;
typedef pair<pi, ll> pii;
typedef set <ll> si;
typedef long double ld;
#define f first
#define s second
#define mp make_pair
#define FOR(i,s,e) for(int i=s;i<=int(e);++i)
#define DEC(i,s,e) for(int i=s;i>=int(e);--i)
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define lbd(x, y) lower_bound(all(x), y)
#define ubd(x, y) upper_bound(all(x), y)
#define aFOR(i,x) for (auto i: x)
#define mem(x,i) memset(x,i,sizeof x)
#define fast ios_base::sync_with_stdio(false),cin.tie(0),cout.tie(0)
#define maxn 1000010
#define INF (ll)1e18
#define MOD 1000000007
typedef pair <vi, int> pvi;
typedef pair <int,pi> ipi;
typedef vector <pii> vpii;
#define DEBUG 0
int TC,N,M,K;
int D[maxn],W[maxn];
vi adj[maxn];
int p;
struct node{
int s,e,m;
node *l=nullptr,*r=nullptr;
bool linit=0,rinit=0;
int val = 0;
node(int ss,int ee){
s = ss; e = ee; m = (s + e) / 2;
}
int qry(int a,int b){
if (a <= s && e <= b) return val;
else if (a > e || s > b) return 0;
else{
int ans = 0;
if (linit) ans += l->qry(a,b);
if (rinit) ans += r->qry(a,b);
return ans;
}
}
void upd(int p,int v){
val += v;
assert(val >= 0);
if (s == e) return;
else if (p > m){
if (!rinit) r = new node(m+1,e);
rinit = 1;
r->upd(p,v);
}else{
if (!linit) l = new node(s,m);
linit = 1;
l->upd(p,v);
}
}
}*root[maxn];
multiset <pi> st[maxn];
void dfs(int x){
int mx = -1;
aFOR(i, adj[x]){
dfs(i);
if (mx == -1 || st[i].size() > st[mx].size()) mx = i;
}
if (mx != -1){
root[x] = root[mx]; st[x].swap(st[mx]);
}else{
root[x] = new node(1,K); st[x].clear();
}
aFOR(i,adj[x]) if (i != mx){
aFOR(j,st[i]){
root[x]->upd(j.f, j.s);
st[x].insert(j);
}
}
if (D[x] == 0) return; // no fruit
//int v = root[x]->qry(1,D[x]) + W[x];
// update everything after D[x] by y -> max(y,v)
//int pt = root[x]->bs(v); // earliest point where f(pt) >= v
//int vpt = root[x]->qry(1, pt);
root[x]->upd(D[x], W[x]); // shift up first, then flatten
st[x].insert(pi(D[x], W[x]));
if (DEBUG){
cout << x << ' ' << '\n';
aFOR(i, st[x]) cout << i.f << ' ' << i.s << '\n';
cout << "\n\n";
}
int cur = W[x];
auto it = st[x].upper_bound(pi(D[x], INF));
while (cur > 0){
if (it == st[x].end()) break;
if (cur >= it->s){
cur -= it->s;
root[x]->upd(it->f, -it->s);
}else{
root[x]->upd(it->f, -cur);
pi tmp = *it;
st[x].insert(pi(tmp.f, tmp.s-cur));
cur = 0;
}
st[x].erase(it++);
}
/*
int sm = 0;
auto it = st[x].begin();
while (it != st[x].end()){
int cur = it->f;
while (it != st[x].end() && it->f == cur){
sm += it->s; it++;
}
assert(sm == root[x]->qry(1,cur));
}
*/
}
void solve(){
cin >> N >> M >> K;
FOR(i,2,N){
cin >> p; adj[p].pb(i);
}
int v,d,w;
FOR(i,1,M){
cin >> v >> d >> w;
D[v] = d; W[v] = w;
}
dfs(1);
cout << root[1]->val;
}
int32_t main(){
fast;
solve();
}
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