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 sz(v) (int)v.size()
#define all(v) begin(v), end(v)
#define compact(v) v.erase(unique(all(v)), end(v))
#define dbg(v) "[" #v " = " << (v) << "]"
#define file(name) if(fopen(name".inp", "r")) {freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
#define rep(i, l, r) for(int i = (l); i < (r); ++i)
using ll = long long;
using vi = vector<int>;
using vl = vector<long long>;
using ld = long double;
template<typename T>
bool minimize(T& a, const T& b){
if(a > b){
return a = b, true;
} return false;
}
template<typename T>
bool maximize(T& a, const T& b){
if(a < b){
return a = b, true;
} return false;
}
template<int dimension, typename T>
struct tensor : public vector<tensor<dimension - 1, T>> {
static_assert(dimension > 0, "Dimension must be positive !\n");
template<typename... Args>
tensor(int n = 0, Args... args) : vector<tensor<dimension - 1, T>> (n, tensor<dimension - 1, T>(args...)) {}
};
template<typename T>
struct tensor<1, T> : public vector<T> {
tensor(int n = 0, T val = T()) : vector<T>(n, val) {}
};
const int MAX = 1e5 + 5;
int n, m, k, par[MAX], day[MAX], weight[MAX];
vector<int> adj[MAX];
map<int, ll> dp[MAX];
// we can prove that dp[u][t] <= dp[u][t + 1]
// notice : now the dp[u] works as the "difference array"
void dfs(int u) {
for (int v : adj[u]) {
dfs(v);
if (sz(dp[u]) < sz(dp[v])) swap(dp[u], dp[v]);
for (const auto& [pos, val] : dp[v]) {
dp[u][pos] += val;
}
dp[v].clear();
}
if (day[u] && weight[u]) {
ll sum = weight[u];
ll lmouse = 0;
bool f = true;
while (true) {
auto iter = dp[u].upper_bound(day[u]);
if(iter == dp[u].end()) break;
if (iter -> second <= sum) {
sum -= iter -> second; //because of the max part
lmouse += iter -> second;
dp[u].erase(iter); //same dp[u][t]
} else {
// iter -> second -= sum; //can't increase
iter -> second += lmouse;
f = false;
break;
}
}
if (f)
dp[u][day[u]] += weight[u];
}
}
// nh, yh
// u, day[u], weight[u]
// yh += cnt[v][k] (k <= day[u])
// nh += max(cnt[v][k])
// res[u] = max(yh + weight[u], nh)
void testcase(){
cin >> n >> m >> k;
par[0] = -1;
rep(i, 1, n){
int p;
cin >> p;
--p;
::par[i] = p;
adj[p].push_back(i);
}
rep(i, 0, m){
int v, d, w;
cin >> v >> d >> w;
--v;
day[v] = d;
weight[v] = w;
}
dfs(0);
ll sum = 0;
for(auto it : dp[0]) sum += it.second;
// cout << dp[0][2] << ' ' << dp[0][6] << '\n';
cout << sum << '\n';
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
// file("task");
int T = 1;
//cin >> T;
while(T--){
testcase();
}
return 0;
}
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