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;
typedef long long ll;
#define sz(v) int(v.size())
#define ar array
const int N = 1e5+10, MOD = 1e9+7;
const ll INF = 1e18+10;
struct S {
// i must be >= the max
map<int, ll> mp;
S() {
mp[0] = 0;
}
void add_range(int l, int r, ll x) {
for (auto& [k, v] : mp) {
if (l <= k && k <= r) {
v += x;
}
}
}
void merge(S& nxt) {
for (auto [k, v] : nxt.mp) {
ll use = (--mp.upper_bound(k))->second;
mp[k] = use;
}
for (auto one = nxt.mp.begin(); one != nxt.mp.end(); one++) {
auto two = next(one);
if (two == nxt.mp.end()) {
// one->first, to the end
add_range(one->first, MOD, one->second);
} else {
// one->first, two->first-1
add_range(one->first, two->first - 1, one->second);
}
}
}
void add(int t, int x) {
ll cur = (--mp.upper_bound(t))->second + x;
auto it = mp.lower_bound(t);
while (it != mp.end() && it->second <= cur) {
mp.erase(it);
it = mp.lower_bound(t);
}
mp[t] = cur;
}
ll get_ans() {
return mp.rbegin()->second;
}
} s[N];
int n, m, k;
vector<int> adj[N];
int t[N], a[N];
// value of ancestor has to be >= value of any thing in the subtree
void dfs(int c, int p) {
s[c] = S();
for (int nxt : adj[c]) if (nxt != p) {
dfs(nxt, c);
s[c].merge(s[nxt]);
}
if (t[c] != -1) s[c].add(t[c], a[c]);
}
void solve() {
cin >> n >> m >> k;
for (int i = 1; i < n; i++) {
int p; cin >> p, --p;
adj[p].push_back(i);
}
memset(t, -1, sizeof(t));
memset(a, -1, sizeof(a));
while (m--) {
int c, i, x; cin >> c >> i >> x, --c;
t[c] = i, a[c] = x;
}
dfs(0, -1);
cout << s[0].get_ans() << '\n';
}
int main() {
ios::sync_with_stdio(false); cin.tie(0);
int T = 1;
// cin >> T;
while (T--) solve();
}
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