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;
using ll = long long;
const int N = 200200;
int n;
int p[N];
int h[N];
int c[N];
map<int, ll> mp[N];
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
cin >> n;
for (int i = 1; i <= n; i++)
cin >> p[i] >> h[i] >> c[i];
for (int i = 1; i <= n; i++)
mp[i][0] = 0;
auto join = [&](int u, int v) {
if ((int)mp[u].size() < (int)mp[v].size()) swap(mp[u], mp[v]);
for (auto c : mp[v])
mp[u][c.first] += c.second;
};
for (int v = n; v >= 1; v--) {
int s = c[v];
auto it = mp[v].lower_bound(h[v]);
while (it != mp[v].begin()) {
--it;
if (s >= it->second) {
s -= it->second;
it=mp[v].erase(it);
if(it==mp[v].begin())break;
} else {
mp[v][it->first] = it->second - s;
s = 0;
break;
}
}
mp[v][0] += c[v] - s;
mp[v][h[v]] += c[v];
if (v != 1) join(p[v], v);
}
cout << mp[1][0];
return 0;
}
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