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 pb push_back
#define sz(x) (int)x.size()
#define all(x) begin(x),end(x)
#define lb(x,y) lower_bound(all(x),y)-begin(x)
mt19937 rng;
void solve() {
int N, M, K; cin >> N >> M >> K;
vector<vector<int>> adj(N);
for (int i = 1; i < N; i++) {
int p; cin >> p; p--;
adj[p].pb(i);
}
vector<vector<vector<int>>> fruits(N);
for (int i = 0; i < M; i++) {
int u, t, k; cin >> u >> t >> k; u--;
fruits[u].pb({t, k});
}
vector<map<int, ll>> mp(N);
for (int u = N - 1; u >= 0; u--) {
for (int v : adj[u]) {
if (sz(mp[v]) > sz(mp[u])) {
swap(mp[v], mp[u]);
}
}
for (int v : adj[u]) {
for (auto &p : mp[v]) {
mp[u][p.first] += p.second;
}
}
for (auto &fruit : fruits[u]) {
int t = fruit[0], k = fruit[1];
mp[u][t] += k;
ll m = k;
while (m && prev(mp[u].end())->first >= t + 1) {
int f = mp[u].lower_bound(t + 1)->first;
ll r = min(mp[u][f], m);
mp[u][f] -= r;
m -= r;
if (!mp[u][f]) mp[u].erase(f);
}
}
}
ll res = 0;
for (auto &p : mp[0]) {
res += p.second;
}
cout << res << "\n";
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
rng = mt19937(chrono::steady_clock::now().time_since_epoch().count());
solve();
return 0;
}
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