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 endl '\n'
#define st first
#define nd second
#define pb push_back
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()
#define ll long long
ll mod=1000000007;
int inf=1000000007;
ll infl=1000000000000000007;
const int N=100007;
vector<int>G[N];
ll w[N];
int a[N];
int s[N];
int nx[N];
set<pair<int,ll>>S[N];
void dfs(int v)
{
s[v]=1;
nx[v]=v;
int mx=0;
for(auto u:G[v])
{
dfs(u);
s[v]+=s[u];
if(s[u]>mx)
{
mx=s[u];
nx[v]=nx[u];
}
}
S[nx[v]].insert({inf,infl});
for(auto u:G[v])
{
if(nx[u]==nx[v]) continue;
for(auto x:S[nx[u]])
{
pair<int,ll>p=*S[nx[v]].lower_bound({x.st,0});
if(p.st==x.st)
{
S[nx[v]].erase(p);
S[nx[v]].insert({p.st,p.nd+x.nd});
}
else S[nx[v]].insert(x);
}
}
if(a[v]>0)
{
ll r=w[v];
while(r>0)
{
pair<int,ll>p=*S[nx[v]].lower_bound({a[v],infl});
if(p.st==inf) break;
S[nx[v]].erase(p);
if(r>=p.nd) r-=p.nd;
else
{
S[nx[v]].insert({p.st,p.nd-r});
break;
}
}
pair<int,ll>p=*S[nx[v]].lower_bound({a[v],0});
if(p.st==a[v])
{
S[nx[v]].erase(p);
S[nx[v]].insert({p.st,p.nd+w[v]});
}
else S[nx[v]].insert({a[v],w[v]});
}
S[nx[v]].erase({inf,infl});
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n,m,k,p;
cin>>n>>m>>k;
for(int i=2;i<=n;i++)
{
cin>>p;
G[p].pb(i);
}
while(m--)
{
int i;
cin>>i>>a[i]>>w[i];
}
dfs(1);
ll ans=0;
for(auto x:S[nx[1]]) ans+=x.nd;
cout<<ans;
return 0;
}
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