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 dbgv(v) cout<<#v<<" = "; f(i,0,v.size()) cout<<v[i]<<" "; cout<<endl
#define dbga(a,x,y) cout<<#a<<" = "; f(i,x,y) cout<<a[i]<<" "; cout<<endl
#define erorp(x) cout<<#x<<"={"<<(x.F)<<" , "<<x.S<<"}"<<endl
#define eror(x) cout<<#x<<'='<<(x)<<endl
#define f_(i,a,b) for(int i=a;i>=b;i--)
#define f(i,a,b) for(int i=a;i<b;i++)
#define nb(x) __builtin_popcount(x)
#define all(v) v.begin(),v.end()
#define bit(n,k) (((n)>>(k))&1)
#define Add(x,y) x=(x+y)%mod
#define maxm(a,b) a=max(a,b)
#define minm(a,b) a=min(a,b)
#define lst(x) x[x.size()-1]
#define sz(x) int(x.size())
#define mp make_pair
#define ll long long
#define pb push_back
#define S second
#define F first
#define int ll
const int N=2e5+99,inf=1e9,lg=20;
int n,t,cnt,a[N],sz[N],ft[N],cost[N],par[N],mark[N],vis[N],rap[lg][N];
ll ans;
set<pair<int,int> > s[N];
vector<pair<int,int> > vec;
vector<int> v,vtx,g[N];
void Dfs(int u){
vtx.pb(u);
vis[u]=1;
for(auto v : g[u]){
if(!vis[v]){
Dfs(v);
}
}
ft[u]=cnt++;
if(mark[u]){
ft[u]=inf;
}
vec.pb(mp(a[u],ft[u]));
}
void dfs(int u){
int b=mark[u];
mark[u]=1;
sz[u]=1;
f(i,0,g[u].size()){
if(mark[g[u][i]]){
g[u].erase(g[u].begin()+i);
break;
}
}
int x=0;
for(auto v : g[u]){
dfs(v);
sz[u]+=sz[v];
if(sz[x]<sz[v]){
x=v;
}
}
if(x>0){
swap(s[u],s[x]);
for(auto v : g[u]){
if(v==x) continue ;
for(auto p : s[v]){
if(s[u].lower_bound(mp(p.F,0))!=s[u].end() && (*s[u].lower_bound(mp(p.F,0))).F==p.F){
pair<int,int> e=*s[u].lower_bound(p);
s[u].erase(e);
e.S+=p.S;
s[u].insert(e);
}
else{
s[u].insert(p);
}
}
}
}
if(b && 1){
return ;
}
pair<int,int> p=mp(a[u],0);
if(s[u].lower_bound(p)!=s[u].end() && (*s[u].lower_bound(p)).F==a[u]){
p=*s[u].lower_bound(p);
s[u].erase(p);
}
if(s[u].lower_bound(p)!=s[u].end()){
pair<int,int> e=*s[u].lower_bound(p);
s[u].erase(e);
e.S-=cost[u];
s[u].insert(e);
}
while(s[u].lower_bound(p)!=s[u].end() && (*s[u].lower_bound(p)).S<=0){
pair<int,int> t,e=*s[u].lower_bound(p);
s[u].erase(e);
if(s[u].lower_bound(e)==s[u].end()) break;
t=*s[u].lower_bound(e);
s[u].erase(t);
t.S+=e.S;
s[u].insert(t);
}
p.S+=cost[u];
s[u].insert(p);
/*cout<<u<<" : "<<endl;
for(auto p : s[u]){
cout<<p.F<<" "<<p.S<<endl;
}
cout<<endl;*/
}
void solve(int rt){
map<int,int> val;
mark[rt]=1;
v.pb(rt);
for(int u=par[rt];u!=rt;u=par[u]){
mark[u]=1;
v.pb(u);
}
Dfs(rt);
sort(all(vec));
for(auto u : vtx){
a[u]=lower_bound(all(vec),mp(a[u],ft[u]))-vec.begin();
}
vector<pair<int,int> > noname;
for(auto u : v){
val[a[u]]+=cost[u];
dfs(u);
for(auto p : s[u]){
noname.pb(p);
}
}
val[inf+inf]=0;
sort(all(noname));
/*for(auto e : noname){
erorp(e);
}
cout<<endl;*/
int p=0,sum=0,res=0;
for(auto e : val){
//erorp(e);
while(p<noname.size() && noname[p].F<=e.F){
sum+=noname[p].S;
p++;
}
maxm(res,sum+e.S);
}
ans+=res;
v.clear();
vtx.clear();
vec.clear();
}
main(){
ll sum=0;
cin>>n;
f(i,1,n+1){
int p;
cin>>par[i]>>a[i]>>cost[i];
sum+=cost[i];
a[i]=inf-a[i];
rap[0][i]=par[i];
g[par[i]].pb(i);
}
f(l,1,lg){
f(i,1,n+1){
rap[l][i]=rap[l-1][rap[l-1][i]];
}
}
f(i,1,n+1){
if(!mark[rap[lg-1][i]]){
solve(rap[lg-1][i]);
}
}
/*ll ans=0;
for(auto p : s[1]){
ans+=p.S;
}*/
cout<<sum-ans;
}
/*
6
1 1 10
1 1 10
1 1 10
3 1 10
2 1 10
2 1 10
*/
Compilation message (stderr)
worst_reporter2.cpp: In function 'void dfs(long long int)':
worst_reporter2.cpp:8:31: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
8 | #define f(i,a,b) for(int i=a;i<b;i++)
......
50 | f(i,0,g[u].size()){
| ~~~~~~~~~~~~~~~
worst_reporter2.cpp:50:2: note: in expansion of macro 'f'
50 | f(i,0,g[u].size()){
| ^
worst_reporter2.cpp: In function 'void solve(long long int)':
worst_reporter2.cpp:145:10: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
145 | while(p<noname.size() && noname[p].F<=e.F){
| ~^~~~~~~~~~~~~~
worst_reporter2.cpp: At global scope:
worst_reporter2.cpp:158:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
158 | main(){
| ^~~~
worst_reporter2.cpp: In function 'int main()':
worst_reporter2.cpp:162:7: warning: unused variable 'p' [-Wunused-variable]
162 | int p;
| ^
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