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;
#define int long long
signed main(){
ios_base::sync_with_stdio(0); cin.tie(0);
int N, M, K, ans = 0, u;
cin >> N >> M >> K;
vector<int> adj[N];
int d[N] {}, w[N] {};
map<int, int> dp[N];
for(int i = 1; i < N; i++) cin >> u, adj[u - 1].push_back(i);
while(M--) cin >> u >> d[u - 1] >> w[u - 1];
for(u = N; u >= 0; u--) {
int h = 0;
for(int v : adj[u]) if(size(dp[v]) > size(dp[h])) h = v;
dp[h].swap(dp[u]);
for(int v : adj[u]) if(v != h) for(auto &[i, j] : dp[v]) dp[u][i] += j;
dp[u][d[u]] += w[u];
auto f = dp[u].upper_bound(d[u]);
while(f != end(dp[u]) && (f->second -= w[u]) < 0) w[u] = -f->second, f = dp[u].erase(f);
}
for(auto &[i, j] : dp[0]) ans += j;
cout << ans << '\n';
}
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