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 <fstream>
#include <iomanip>
#include <cmath>
#include <cassert>
#include <cstring>
#include <vector>
#include <algorithm>
#include <deque>
#include <set>
#include <utility>
#include <array>
#include <complex>
using u32 = unsigned;
using i32 = int;
using i64 = long long;
using u64 = unsigned long long;
using f64 = double;
using f80 = long double;
#define int long long
using namespace std;
using pt = complex<f80>;
#define ALL(x) begin(x), end(x)
#define ShinLena cin.tie(nullptr)->sync_with_stdio(false);
#define N 100005
multiset<pair<int, i64>> s[N];
int n, m, k;
i64 dp[N];
basic_string<int> g[N];
deque<pair<int, i64>> pre[N];
void dfs(int u)
{
i64 nocur = 0, cur = 0;
for (auto v : g[u])
{
dfs(v);
nocur += dp[v];
if (s[v].size() > s[u].size()) s[v].swap(s[u]);
for (auto &x : s[v]) s[u].insert(x);
}
{
pre[u].emplace_back(k+1, 0);
auto it = s[u].end();
int day = -1, runningweight = 0;
while (it != s[u].begin())
{
if (day != it->first)
{
pre[u].emplace_back(day, runningweight + pre[u].back().second);
runningweight = it->second;
day = it->first;
}
--it;
}
pre[u].emplace_back(day, runningweight + pre[u].back().second);
}
if (s[u].empty()) return void(dp[u] = nocur);
auto [d, w] = *s[u].begin();
cur = w;
for (auto v : g[u])
{
dfs(v);
int l = 0, r = (int)pre[v].size() - 1, z = -1;
while (l <= r)
{
int m = (l+r)/2;
if (pre[v][m].first <= d) l = m + 1, z = m;
else r = m - 1;
}
if (z != -1) cur += pre[v][z].second;
}
dp[u] = max(cur, nocur);
}
signed main()
{
ShinLena;
cin >> n >> m >> k;
for (int i = 2, p; i <= n; ++i) cin >> p, g[p].push_back(i);
for (int v, d, w, i = 0; i < m; ++i)
{
cin >> v >> d >> w;
s[v].emplace(d, w);
}
dfs(1);
cout << dp[1];
return 0;
}
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