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;
#define lg long long
#define fastio ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
const lg N = 1e5+5;
lg n, m, k;
lg v[N], d[N];
vector<lg> adj[N];
map<lg, lg> mp2;
void solve(lg src)
{
map<lg, lg> mp;
mp[0] = 0;
for(auto it : adj[src])
{
solve(it);
if(mp.size() < mp2.size())
{
swap(mp, mp2);
}
for(auto [it, fr] : mp2)
{
mp[it] += fr;
}
}
if(d[src])
{
mp[d[src]] += v[src];
while(mp.size() > 1 && ((--mp.end())->second) < v[src])
{
mp.erase(--mp.end());
}
auto it = mp.end();
it--;
while((it->first) > d[src])
{
it->second -= v[src];
if(it == mp.begin()) break;
it--;
}
}
swap(mp, mp2);
return ;
}
int main()
{
fastio;
cin >> n >> m >> k;
for(int i = 2; i <= n; i++)
{
lg p;
cin >> p;
adj[p].push_back(i);
}
for(int i = 1; i <= m; i++)
{
lg node, day, score;
cin >> node >> day >> score;
d[node] = day;
v[node] = score;
}
solve(1);
lg ans = 0;
for(auto [a, b] : mp2) ans += b;
cout << ans << '\n';
return 0;
}
/*
dp[src][max] = max(dp[par][v[i]]+w[i], dp[src][max-1])
*/
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