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;
template<typename T>
using V = vector<T>;
using vi = V<int>;
using vb = V<bool>;
using pi = pair<int,int>;
#define F0R(i,n) for (int i = 0; i < n;i++)
#define FOR(i, j, n) for(int i = j; i < n;i++)
#define ckmin(x,y) x = min(x,y)
#define f first
#define s second
using ll = long long;
constexpr int INF = 1e9 + 5;
struct STL {
vi pointers;
V<multiset<pi>> gradients;
STL(int n) {
pointers.resize(n);
gradients.resize(n);
for (int i = 0; i < n;i++) {
pointers[i] = i;
}
}
void merge(int x, int y) {
int pX = pointers[x], pY = pointers[y];
if (gradients[pY].size() > gradients[pX].size()) swap(pX,pY);
pointers[y] = pX;
pointers[x] = pX;
for (auto elm : gradients[pY]) {
gradients[pX].insert(elm);
}
}
void insert(int x, int t, int v) {
x = pointers[x];
int sum = 0;
while (true) {
auto it = gradients[x].upper_bound({t, INF});
if (it == gradients[x].end()) break;
int t1 = it->first;
sum += it->second;
gradients[x].erase(it);
if (sum > v) {
sum -= v;
gradients[x].insert({t1, sum});
break;
}
}
gradients[x].insert({t,v});
}
int query(int x) {
x = pointers[x];
int sum = 0;
for (auto [v,y] : gradients[x]) {
sum += y;
}
return sum;
}
};
V<pi> dat;
V<vi> g;
STL *stl;
void solve(int x, int p) {
for (auto y : g[x]) {
if (y == p) continue;
solve(y, x);
stl->merge(x, y);
}
stl->insert(x, dat[x].f, dat[x].s);
}
int main() {
ios_base::sync_with_stdio(false); cin.tie(nullptr);
int n, m, k; cin >> n >> m >> k;
g.resize(n + 1);
stl = new STL(n + 1);
FOR(i, 2, n + 1) {
int p; cin >> p;
g[p].push_back(i);
g[i].push_back(p);
}
dat.resize(n + 1);
F0R(i, m) {
int v, t, p; cin >> v >> t >> p;
dat[v] = {t, p};
}
solve(1, -1);
cout << stl->query(1);
return 0;
}
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