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;
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif
const int N = 2e5 + 5;
int n;
int a[N], c[N], dp[N];
vector<int> g[N];
map<int, long long> mp[N];
void dfs(int u) {
for (int v : g[u]) {
dfs(v);
if (mp[u].size() < mp[v].size()) {
mp[u].swap(mp[v]);
}
for (auto [x, y] : mp[v]) {
mp[u][x] += y;
}
}
mp[u][a[u]] += c[u];
for (auto it = mp[u].upper_bound(a[u]); it != mp[u].end(); it = mp[u].erase(it)) {
auto &delta = (*it).second;
if (c[u] < delta) {
delta -= c[u];
break;
}
c[u] -= delta;
}
}
int main() {
ios::sync_with_stdio(false); cin.tie(nullptr);
cin >> n;
long long res = 0;
for (int i = 1; i <= n; ++i) {
int p; cin >> p >> a[i] >> c[i];
a[i] = 1e9 - a[i] + 1;
res += c[i];
if (p ^ i) {
g[p].push_back(i);
}
}
dfs(1);
for (auto [x, y] : mp[1]) {
res -= y;
}
cout << res;
return 0;
}
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