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 i64 = long long;
struct Vertice {
bool exFruit;
int day;
i64 weight;
};
int main() {
int N, M, K;
std::cin >> N >> M >> K;
std::vector<int> P(N);
std::vector<std::vector<int>> tree(N);
for (int i = 1; i < N; ++i) {
std::cin >> P[i];
--P[i];
tree[P[i]].push_back(i);
}
std::vector<int> U(M), D(M);
std::vector<i64> W(M);
std::vector<Vertice> vData(N);
for (int i = 0; i < M; ++i) {
std::cin >> U[i] >> D[i] >> W[i];
--U[i];
}
{
// press
auto cD = D;
std::sort(cD.begin(), cD.end());
cD.erase(std::unique(cD.begin(), cD.end()), cD.end());
for (auto &e : D) {
e = (int)(std::lower_bound(cD.begin(), cD.end(), e) - cD.begin());
}
K = (int)cD.size();
}
for (int i = 0; i < M; ++i) {
vData[U[i]] = {true, D[i], W[i]};
}
auto dfs = [&](auto &&self, const int v) -> std::vector<i64> {
// calc DP
std::vector<std::vector<i64>> cDPs;
for (const int t : tree[v]) {
cDPs.push_back(self(self, t));
}
// cut
if (cDPs.size() == 1 and not vData[v].exFruit) {
return cDPs[0];
}
std::vector<i64> ret(K + 1);
for (const auto &vec : cDPs) {
assert((int)vec.size() == K + 1);
for (int i = 0; i <= K; ++i) {
ret[i] += vec[i];
}
}
if (vData[v].exFruit) {
ret[vData[v].day] += vData[v].weight;
for (int i = vData[v].day + 1; i <= K; ++i) {
ret[i] = std::max(ret[i], ret[i - 1]);
}
}
return ret;
};
const auto res = dfs(dfs, 0);
std::cout << res[K] << std::endl;
}
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