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>
//#include <quadmath.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
//#define sz(x) (int)x.size()
//#define sqr(x) x*x
//#pragma GCC optimize("-O3")
//#pragma GCC optimize("Ofast")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,sse4.1,sse4.2,popcnt,abm,mmx,avx,avx2,tune=native")
//#pragma GCC optimize("unroll-loops")
//#pragma GCC optimize("no-stack-protector")
//#pragma GCC optimize("fast-math")
using namespace std;
using namespace __gnu_pbds;
//#define int long long
//#define ld long double
template <class T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long ll;
const int INF = 2e9;
vector<vector<int> > g;
vector<pair<int, int> > a;
vector<vector<ll> > dp;
int k;
void dfs(int v, int p)
{
for (auto& u : g[v])
{
if (u != p)
{
dfs(u, v);
}
}
ll bebra = 0;
if (a[v].first != INF){
for (auto& u : g[v])
{
if (u != p)
bebra += dp[u][a[v].first];
}
}
for (int i = 1; i <= k; i++)
{
ll res = 0;
for (auto& u : g[v]){
if (u != p)
res += dp[u][i];
}
dp[v][i] = res;
if (a[v].first <= i)
{
dp[v][i] = max(dp[v][i], bebra + a[v].second);
}
}
}
void solve()
{
int n, m;
cin >> n >> m >> k;
g.resize(n);
a.resize(n, {INF, 0});
dp.resize(n, vector<ll>(k + 1));
for (int i = 1; i < n; i++)
{
int p;
cin >> p;
p--;
g[p].push_back(i);
}
for (int i = 0; i < m; i++)
{
int v, d, w;
cin >> v >> d >> w;
v--;
a[v] = {d, w};
}
dfs(0, 0);
ll ans = 0;
// for (int i = 0; i < n; i++)
// {
// cout << i << ": ";
// for (int j = 1; j <= k; j++)
// {
// cout << dp[i][j] << ' ';
// }
// cout << endl;
// }
for (int i = 1; i <= k; i++) ans = max(ans, dp[0][i]);
cout << ans;
}
signed main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int t;
t = 1;
//cin >> t;
while (t--)
{
solve();
}
return 0;
}
/*
6 4 10
1
2
1
4
4
3 4 5
4 7 2
5 4 1
6 9 3
*/
/*
4
1 3
2 4
2 3
3 4
*/
/*
1 1 1
100000000 1 1 1
1 1
*/
/*
????????????????????????????????????????????????
*/
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