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 <cmath>
#include <functional>
#include <fstream>
#include <iostream>
#include <vector>
#include <algorithm>
#include <string>
#include <set>
#include <map>
#include <list>
#include <time.h>
#include <math.h>
#include <random>
#include <deque>
#include <cassert>
#include <queue>
#include <unordered_map>
#include <unordered_set>
#include <iomanip>
#include <bitset>
#include <sstream>
#include <stack>
#include <chrono>
#include <cstring>
#include <numeric>
using namespace std;
typedef long long ll;
const int N = 200000 + 7;
const ll INF = (ll)1e18 + 7;
int n;
int par[N];
int h[N];
int c[N];
vector<int> g[N];
ll sumc[N];
ll dp[N];
ll compute(int a, int dim) {
ll sol = c[a];
for (auto& b : g[a]) {
sol += compute(b, dim);
}
if (h[a] >= dim) {
sol = min(sol, dp[a]);
}
return sol;
}
void build1(int a) {
sumc[a] = c[a];
dp[a] = 0;
for (auto& b : g[a]) {
build1(b);
sumc[a] += sumc[b];
dp[a] += compute(b, h[a]);
}
}
signed main() {
#ifdef ONPC
FILE* stream;
freopen_s(&stream, "input.txt", "r", stdin);
#else
ios::sync_with_stdio(false);
cin.tie(0); cout.tie(0);
#endif
cin >> n;
for (int i = 1; i <= n; i++) {
cin >> par[i] >> h[i] >> c[i];
}
assert(par[1] == 1);
for (int i = 2; i <= n; i++) {
assert(1 <= par[i] && par[i] <= i - 1);
g[par[i]].push_back(i);
}
build1(1);
cout << compute(1, 0) << "\n";
return 0;
}
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