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 all(x) (x).begin(), (x).end()
#define MP make_pair
const int N = 100500;
vector<int> g[N];
vector<vector<ll>> dp;
pair<int, int> fruit[N];
void dfs(int v){
    dp[v][fruit[v].first] = fruit[v].second;
    for (int u : g[v]){
        dfs(u);
    }
    for (int t = 1; t < dp[v].size(); t++){
        for (int u : g[v]){
            dp[v][t] += dp[u][t];
        }
    }
    for (int t = 1; t < dp[v].size(); t++) dp[v][t] = max(dp[v][t], dp[v][t - 1]);
}
void solve(){
    int n, m, k;
    cin >> n >> m >> k;
    ll sum = 0;
    for (int i = 1; i < n; i++){
        int p;
        cin >> p;
        --p;
        g[p].push_back(i);
    }
    map<int, int> mp;
    for (int i = 0; i < m; i++){
        int v, d, w;
        cin >> v >> d >> w;
        --v;
        mp[d];
        fruit[v] = MP(d, w);
        sum += w;
    }
    mp[0];
    k = 0;
    for (auto &now : mp){
        now.second = ++k;
    }
    for (int i = 0; i < n; i++){
        fruit[i].first = mp[fruit[i].first];
    }
    
    if (k > 1000){
        cout << sum << endl;
        return;
    }
    dp.assign(n, vector<ll>(k + 1, 0));
    dfs(0);
    cout << dp[0].back() << endl;
}
int main() {
    ios_base::sync_with_stdio(false);
#ifdef LOCAL
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
#endif
    solve();
    return 0;
}
Compilation message (stderr)
magictree.cpp: In function 'void dfs(int)':
magictree.cpp:22:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   22 |     for (int t = 1; t < dp[v].size(); t++){
      |                     ~~^~~~~~~~~~~~~~
magictree.cpp:28:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   28 |     for (int t = 1; t < dp[v].size(); t++) dp[v][t] = max(dp[v][t], dp[v][t - 1]);
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