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>
#define ff first
#define ss second
using namespace std;
struct segment_tree {
static const int maxn = 2e6 + 5;
int ls[maxn] = {}, rs[maxn] = {};
long long ma[maxn] = {}, tag[maxn] = {};
int buf = 0;
inline void updata(int p, long long v) { ma[p] += v, tag[p] += v; }
inline void pull(int p) { ma[p] = max(ma[ls[p]], ma[rs[p]]); }
inline void push(int p) {
if (!tag[p] || !p) return;
if (ls[p]) updata(ls[p], tag[p]);
if (rs[p]) updata(rs[p], tag[p]);
tag[p] = 0;
}
void add(int &p, int l, int r, int pos, long long val, long long m) {
if (!p) p = ++buf;
if (l == r) { ma[p] = val + max(m, ma[p]); return; }
push(p);
int mid = (l + r) >> 1;
if (pos <= mid) add(ls[p], l, mid, pos, val, m);
else add(rs[p], mid+1, r, pos, val, max(m, ma[ls[p]]));
pull(p);
}
void Merge(int &a, const int &b, int l, int r, long long am, long long bm) {
if (!b) { if (a) updata(a, bm); return; }
if (!a) { updata(b, am); a = b; return; }
if (l == r) {
am = max(am, ma[a]), bm = max(bm, ma[b]);
ma[a] = max(ma[a] + bm, am + ma[b]);
return;
}
int mid = (l + r) >> 1;
push(a), push(b);
Merge(rs[a], rs[b], mid+1, r, max(am, ma[ls[a]]), max(bm, ma[ls[b]]));
Merge(ls[a], ls[b], l, mid, am, bm);
pull(a);
}
} seg;
const int maxn = 1e5 + 5;
vector<int> G[maxn];
pair<int, long long> fru[maxn];
int rt[maxn], d;
void dfs(int u) {
for (int v : G[u])
dfs(v), seg.Merge(rt[u], rt[v], 1, d, 0, 0);
if (fru[u].ff) seg.add(rt[u], 1, d, fru[u].ff, fru[u].ss, 0);
}
void solve() {
int n, m;
cin >> n >> m >> d;
for (int i = 2, f; i <= n; i++)
cin >> f, G[f].emplace_back(i);
for (int i = 1; i <= m; i++) {
int id, d; long long w;
cin >> id >> d >> w;
fru[id] = {d, w};
}
dfs(1);
cout << seg.ma[rt[1]] << '\n';
}
signed main() {
ios::sync_with_stdio(false), cin.tie(0), cout.tie(0);
solve();
return 0;
}
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