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
#define all(x) x.begin(), x.end()
#define size(x) (int)x.size()
template<class S, class T>
bool chmin(S &a, const T &b) {
return a > b ? (a = b) == b : false;
}
template<class S, class T>
bool chmax(S &a, const T &b) {
return a < b ? (a = b) == b : false;
}
void compress(vector<int>& a) {
vector<int> v;
map<int, int> mp;
for (int i = 1; i < size(a); ++i) {
if (mp.count(a[i])) continue;
v.push_back(a[i]);
mp[a[i]];
}
sort(all(v));
for (int i = 0; i < size(v); ++i) {
mp[v[i]] = i + 1;
}
for (int i = 1; i < size(a); ++i) {
a[i] = mp[a[i]];
}
}
const int N = 1e5 + 1;
int dp[N][21];
vector<vector<int>> g;
vector<pair<int, int>> f;
void dfs(int v) {
for (int to : g[v]) {
dfs(to);
int Max = 0;
for (int k = 0; k <= 20; ++k) {
chmax(Max, dp[to][k]);
dp[v][k] += Max;
}
}
if (f[v].second != -1) {
int cur = 0;
for (int to : g[v]) {
cur += dp[to][f[v].second];
}
chmax(dp[v][f[v].second], cur + f[v].first);
}
for (int k = 1; k <= 20; ++k) {
chmax(dp[v][k], dp[v][k - 1]);
}
}
signed main() {
cin.tie(nullptr)->sync_with_stdio(false);
int n, m, k;
cin >> n >> m >> k;
int p[n + 1];
p[1] = -1;
vector<int> u(m + 1), d(m + 1), w(m + 1);
g.resize(n + 1);
f.assign(n + 1, {-1, -1});
for (int i = 2; i <= n; ++i) {
cin >> p[i];
g[p[i]].push_back(i);
}
bool flag = true;
for (int i = 1; i <= m; ++i) {
cin >> u[i] >> d[i] >> w[i];
if (!g[u[i]].empty()) flag = false;
}
if (flag) {
cout << accumulate(w.begin() + 1, w.end(), 0ll);
return 0;
}
compress(d);
for (int i = 1; i <= m; ++i) {
f[u[i]] = {w[i], d[i]};
}
dfs(1);
cout << *max_element(dp[1], dp[1] + k + 1);
}
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