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;
typedef long long ll;
typedef pair<ll,ll> pi;
typedef vector<ll> vi;
typedef vector<pi> vpi;
#define pb emplace_back
#define f first
#define s second
#define mp make_pair
#define SZ(x) (ll)x.size()
#define ALL(x) x.begin(),x.end()
#define lb lower_bound
#define ub upper_bound
const ll MAXN = 200100;
const ll MAXK = 19;
ll p[MAXN];
ll H[MAXN],C[MAXN];
ll N;
vi V[MAXN];
vi roots;
ll ans;
ll dp1[MAXN];
ll dp2[MAXN];
ll calc(ll x,ll c){
ll r=0;
// if you don't choose it
for(auto v:V[x])r+=calc(v,c);
if(H[x]>=c)r=max(r,dp1[x]); // best you can get by choosing that node
return r;
}
ll solve(ll x){
ll r1=0;
for(auto v:V[x])r1+=solve(v);
// if you choose to continue, everything else chosen must be not less
ll tx=C[x];
for(auto v:V[x]){
// cerr<<"Calc "<<v<<' '<<calc(v,H[x])<<'\n';
tx+=calc(v,H[x]);
}
// cerr<<"DP "<<x<<' '<<tx<<' '<<r1<<'\n';
dp1[x]=tx; // best you can get by choosing x
dp2[x]=r1; // best you can get by NOT choosing x
return max(dp1[x],dp2[x]);
}
int main(){
cin>>N;
for(ll i=1;i<=N;++i){
cin>>p[i]>>H[i]>>C[i];
if(p[i]==i){
p[i]=-1;
roots.pb(i);
}else V[p[i]].pb(i);
ans+=C[i];
}
for(auto i:roots){
ans-=solve(i);
}
cout<<ans;
}
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