| # | Time | Username | Problem | Language | Result | Execution time | Memory | 
|---|---|---|---|---|---|---|---|
| 659879 | 600Mihnea | Magic Tree (CEOI19_magictree) | C++17 | 2082 ms | 22304 KiB | 
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
bool home = 0;
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = (int) 1e5 + 7;
int n;
int m;
int k;
int p[N];
int type[N];
int w[N];
int sub[N];
int bg[N];
ll delta[N];
vector<int> g[N];
void bu(int a) {
  sub[a] = 1;
  for (auto &b : g[a]) {
    bu(b);
    sub[a] += sub[b];
    if (sub[b] > sub[bg[a]]) {
      bg[a] = b;
    }
  }
}
vector<pair<int, ll>> get_and_clr_dp() {
  vector<pair<int, ll>> sol;
  for (int i = 1; i <= k; i++) {
    if (delta[i]) {
      sol.push_back({i, delta[i]});
      delta[i] = 0;
    }
  }
  return sol;
}
ll dpaux[N];
void solve(int a) {
  if (g[a].empty()) {
    if (type[a]) {
      delta[type[a]] += w[a];
    }
  } else {
    assert(bg[a] != -1);
    vector<vector<pair<int, ll>>> all;
    for (auto &b : g[a]) {
      if (b != bg[a]) {
        solve(b);
        all.push_back(get_and_clr_dp());
        continue;
      }
    }
    {
      int b = bg[a];
      solve(b);
      for (auto &v : all) {
        for (auto &g : v) {
          delta[g.first] += g.second;
        }
      }
      if (type[a]) {
        delta[type[a]] += w[a];
        delta[type[a] + 1] -= w[a];
        ll mx = 0, cur = 0;
        for (int i = type[a]; i <= k; i++) {
          cur += delta[i];
          delta[i] = max(mx, cur) - mx;
          mx = max(mx, cur);
        }
      }
    }
  }
//  cout << a << " : ";
  ll sol = 0;
  for (int i = 1; i <= k; i++) {
    sol += delta[i];
  //  cout << sol << " ";
  }
 // cout << "\n";
}
int main() {
  if (!home) {
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
  } else {
    freopen("input.txt", "r", stdin);
  }
  cin >> n >> m >> k;
  if (0) {
    cout << "  : ";
    for (int i = 1; i <= k; i++) {
      cout << i << " ";
    }
    cout << "\n";
  }
  for (int i = 2; i <= n; i++) {
    cin >> p[i];
    g[p[i]].push_back(i);
  }
  for (int i = 1; i <= m; i++) {
    int v;
    cin >> v;
    cin >> type[v];
    cin >> w[v];
  }
  {
    map<int, int> mp;
    for (int i = 1; i <= n; i++) {
      if (type[i]) {
        mp[type[i]] = 0;
      }
    }
    int cr = 0;
    for (auto &it : mp) {
      it.second = ++cr;
    }
    for (int i = 1; i <= n; i++) {
      if (type[i]) {
        type[i] = mp[type[i]];
      }
    }
    k = min(k, m);
  }
  bu(1);
  solve(1);
  ll sol = 0;
  for (int i = 1; i <= k; i++) {
    sol += delta[i];
  }
  cout << sol << "\n";
  return 0;
}
/**
dp[vertex][last_value] = ?
**/
Compilation message (stderr)
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