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<iostream>
#include<algorithm>
#include<vector>
#include<map>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
#define ff first
#define ss second
const int N = 1e5 + 9;
int n, m, k;
int p[N];
pii fruit[N];
vector<int> g[N];
map<int, ll> dp[N];
namespace sub8 {
int cnt(0), b[N];
void dfs(int u) {
for (int v : g[u]) {
dfs(v);
if (dp[u].size() < dp[v].size()) dp[u].swap(dp[v]);
for (auto it : dp[v])
dp[u][it.ff] += it.ss;
}
if (fruit[u].ff) {
dp[u][fruit[u].ff] += fruit[u].ss;
map<int, ll>::iterator it = dp[u].upper_bound(fruit[u].ff), tmp;
for (ll diff = 0; it != dp[u].end(); it = tmp) {
diff += it->ss;
if (diff <= fruit[u].ss) {
// set dp[u][it->ff] = dp[u][fruit[u].ff], reset diff = 0
tmp = next(it);
dp[u].erase(it);
}
else {
// nothing change, recalc diff
it->ss = diff - fruit[u].ss;
break;
}
}
}
}
void solve() {
for (int i = 1; i <= n; ++i) if (fruit[i].ff) b[++cnt] = fruit[i].ff;
sort(b + 1, b + cnt + 1);
cnt = unique(b + 1, b + cnt + 1) - b;
for (int i = 1; i <= n; ++i)
if (fruit[i].ff) fruit[i].ff = lower_bound(b + 1, b + cnt, fruit[i].ff) - b;
dfs(1);
ll ans(0);
for (auto it : dp[1]) ans += it.ss;
cout << ans << '\n';
}
}
int main() {
cin.tie(NULL)->sync_with_stdio(false);
cin >> n >> m >> k;
for (int i = 2; i <= n; ++i) {
cin >> p[i];
g[p[i]].push_back(i);
}
for (int i = 0, v; i < m; ++i) {
cin >> v;
cin >> fruit[v].ff >> fruit[v].ss;
}
sub8::solve();
}
/** /\_/\
* (= ._.)
* / >0 \>1
**/
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