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
template<typename T> int SIZE(T (&t)){ return t.size(); } template<typename T, size_t N> int SIZE(T (&t)[N]){ return N; } string to_string(char t){ return "'" + string({t}) + "'"; } string to_string(bool t){ return t ? "true" : "false"; } string to_string(const string &t, int x1=0, int x2=1e9){ string ret = ""; for(int i = min(x1,SIZE(t)), _i = min(x2,SIZE(t)-1); i <= _i; ++i){ ret += t[i]; } return '"' + ret + '"'; } string to_string(const char* t){ string ret(t); return to_string(ret); } template<size_t N> string to_string(const bitset<N> &t, int x1=0, int x2=1e9){ string ret = ""; for(int i = min(x1,SIZE(t)); i <= min(x2,SIZE(t)-1); ++i){ ret += t[i] + '0'; } return to_string(ret); } template<typename T, typename... Coords> string to_string(const T (&t), int x1=0, int x2=1e9, Coords... C); template<typename T, typename S> string to_string(const pair<T, S> &t){ return "(" + to_string(t.first) + ", " + to_string(t.second) + ")"; } template<typename T, typename... Coords> string to_string(const T (&t), int x1, int x2, Coords... C){ string ret = "["; x1 = min(x1, SIZE(t)); auto e = begin(t); advance(e,x1); for(int i = x1, _i = min(x2,SIZE(t)-1); i <= _i; ++i){ ret += to_string(*e, C...) + (i != _i ? ", " : ""); e = next(e); } return ret + "]"; } template<int Index, typename... Ts> struct print_tuple{ string operator() (const tuple<Ts...>& t) { string ret = print_tuple<Index - 1, Ts...>{}(t); ret += (Index ? ", " : ""); return ret + to_string(get<Index>(t)); } }; template<typename... Ts> struct print_tuple<0, Ts...> { string operator() (const tuple<Ts...>& t) { return to_string(get<0>(t)); } }; template<typename... Ts> string to_string(const tuple<Ts...>& t) { const auto Size = tuple_size<tuple<Ts...>>::value; return print_tuple<Size - 1, Ts...>{}(t); } void dbgr(){;} template<typename Heads, typename... Tails> void dbgr(Heads H, Tails... T){ cout << to_string(H) << " | "; dbgr(T...); } void dbgs(){;} template<typename Heads, typename... Tails> void dbgs(Heads H, Tails... T){ cout << H << " "; dbgs(T...); }
#define dbgv(...) cout << to_string(__VA_ARGS__) << endl;
#define dbg(...) cout << "[" << #__VA_ARGS__ << "]: "; dbgv(__VA_ARGS__);
const int MX = 1e5+1;
vector<int> adj[MX];
pair<int, int> fruit[MX];
multiset<pair<int, int>> ms[MX];
void merge(multiset<pair<int, int>>& st, pair<int, int> pr) {
auto [d, w] = pr;
auto it = st.lower_bound(make_pair(d+1, -1));
while(w > 0 && it != st.end()) {
if(w >= it->second) {
it = st.erase(it);
w -= it->second;
} else {
st.insert({it->first, it->second - w});
st.erase(it);
w = 0;
}
}
st.insert(pr);
}
void dfs(int i, int p) {
int leaf = 1;
for(int a: adj[i]) {
if(a == p) continue;
leaf = 0;
dfs(a, i);
}
if(leaf) {
if(fruit[i].first)
ms[i] = {fruit[i]};
} else {
int mx = 0;
for(int a: adj[i]) {
if(a == p) continue;
if(ms[a].size() > ms[mx].size())
mx = a;
}
ms[i] = ms[mx];
ms[mx].clear();
for(int a: adj[i]) {
if(a == p || a == mx) continue;
for(auto pr: ms[a]) {
ms[i].insert(pr);
}
ms[a].clear();
}
if(fruit[i].first)
merge(ms[i], fruit[i]);
}
}
int32_t main() {
ios::sync_with_stdio(0);cin.tie(0);
int n, m, k;
cin >> n >> m >> k;
for(int i=2; i<=n; i++) {
int p;
cin >> p;
adj[p].push_back(i);
adj[i].push_back(p);
}
for(int i=0; i<m; i++) {
int v, d, w;
cin >> v >> d >> w;
fruit[v] = {d, w};
}
dfs(1, 0);
int ans = 0;
for(auto [d, w]: ms[1]) {
ans += w;
}
cout << ans;
}
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