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 pii pair<int, int>
#define pb push_back
#define ff first
#define ss second
#define ll long long
#define int ll
struct node{
ll x = 0;
node *l = nullptr, *r = nullptr;
node(){}
};
vector<int> q[200100];
vector<pii> h[200100];
int n, m, k;
node *d[200100];
int dp[200100][2];
void upd(node *v, int l, int r, int pos, int x){
if(l == r){
v -> x += x;
return;
}
int mid=(l + r) / 2;
if(mid >= pos){
if(!v -> l) v -> l = new node();
upd(v -> l, l, mid, pos, x);
}
else{
if(!v -> r) v -> r = new node();
upd(v -> r, mid+1, r, pos, x);
}
v -> x = (v -> l ?v -> l -> x :0) + (v -> r ?v -> r -> x :0);
}
ll get(node *v, int l, int r, int L, int R){
if(r < L or R < l){
return 0;
}
if(L <= l and r <= R){
return v -> x;
}
int mid=(l+r)/2;
ll sum = 0;
if(v -> l){
sum += get(v -> l, l, mid, L, R);
}
if(v -> r){
sum += get(v->r, mid+1, r, L, R);
}
return sum;
}
void dfs(int v){
pii g={-1, -1};
if(h[v].size()) g = h[v][0];
d[v] = new node();
upd(d[v], 1, k, g.ff, g.ss);
for(auto to: q[v]){
dfs(to);
if(h[to].size() > h[v].size()){
swap(h[to], h[v]);
swap(d[v], d[to]);
}
for(auto dd: h[to]){
h[v].pb(dd);
upd(d[v], 1, k, dd.ff, dd.ss);
}
dp[v][0] += max(dp[to][0], dp[to][1]);
}
if(g.ff != -1){
dp[v][1] = get(d[v], 1, k, 1, g.ff);
}
else{
dp[v][1] = 0;
}
//cout<<v<<' '<<dp[v][0]<<' '<<dp[v][1]<<'\n';
}
void solve(){
cin>>n>>m>>k;
for(int i=2; i<=n; i++){
int x;
cin>>x;
q[x].pb(i);
}
for(int i=1; i<=m; i++){
int v, l, r;
cin>>v>>l>>r;
//dp[v][0] = 1;
h[v].pb({l, r});
}
dfs(1);
cout<<max(dp[1][0], dp[1][1]);
}
signed main(){
solve();
}
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