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 merge = [&] (std::map<int, i64> &a, std::map<int, i64> &b) {
if (a.size() < b.size()) {
std::swap(a, b);
}
for (const auto &[k, v] : b) {
a[k] += v;
}
};
auto dfs = [&](auto &&self, const int v) -> std::map<int, i64> {
// calc DP
std::map<int, i64> ret;
for (const int t : tree[v]) {
auto res = self(self, t);
merge(ret, res);
}
// cut
if (vData[v].exFruit) {
ret[vData[v].day] += vData[v].weight;
auto itr = ret.upper_bound(vData[v].day);
i64 sum = vData[v].weight;
while (itr != ret.end() and sum != 0) {
if (itr->second <= sum) {
sum -= itr->second;
itr = ret.erase(itr);
} else {
itr->second -= sum;
sum = 0;
}
}
}
return ret;
};
const auto res = dfs(dfs, 0);
i64 answer = 0;
for (const auto &[k, v] : res) {
answer += v;
}
std::cout << answer << std::endl;
}
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