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 int long long
#define pb push_back
const int maxn = 1e5;
struct fruit {
int vertex, day, weight;
fruit() : vertex(0), day(0), weight(0) {}
fruit(int vertex_, int day_, int weight_) :
vertex(vertex_), day(day_), weight(weight_) {}
};
int n, m, k;
int par[maxn + 1];
vector<int> children[maxn + 1];
bool has_fruit[maxn + 1];
fruit fruit_of[maxn + 1];
vector<fruit> fruits;
int d_ptr[maxn + 1];
vector<int> d[maxn + 1];
void dfs(int cur) {
for(int nei : children[cur]) {
dfs(nei);
}
d_ptr[cur] = cur;
int which = 0;
for(int nei : children[cur]) {
if(d[d_ptr[nei]].size() > d[d_ptr[cur]].size()) {
d_ptr[cur] = d_ptr[nei];
which = nei;
}
}
for(int nei : children[cur]) {
if(which != nei) {
vector<int> v = d[d_ptr[nei]];
int v_size = v.size();
for(int i = 0; i < v_size; i++) {
if(d[d_ptr[cur]][i] > v[i]) {
d[d_ptr[cur]][i] = v[i];
}
}
}
}
if(has_fruit[cur]) {
auto it = upper_bound(d[d_ptr[cur]].begin(), d[d_ptr[cur]].end(), fruit_of[cur].day);
if(it == d[d_ptr[cur]].end()) {
d[d_ptr[cur]].pb(fruit_of[cur].day);
} else {
*it = fruit_of[cur].day;
}
}
}
void solve() {
cin >> n >> m >> k;
for(int i = 2; i <= n; i++) {
cin >> par[i];
children[par[i]].pb(i);
}
fruits.assign(m, fruit());
for(int i = 0; i < m; i++) {
cin >> fruits[i].vertex >> fruits[i].day >> fruits[i].weight;
has_fruit[fruits[i].vertex] = true;
fruit_of[fruits[i].vertex] = fruits[i];
}
dfs(1);
cout << (int) (d[d_ptr[1]].size()) << "\n";
}
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
solve();
return 0;
}
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