This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//by szh
#include<bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define pii pair<int,int>
#define pll pair<long long,long long>
#define pb push_back
#define debug(x) cerr<<#x<<"="<<x<<endl
#define pq priority_queue
#define inf 0x3f
#define rep(i,a,b) for (int i=a;i<(b);i++)
#define MP make_pair
#define SZ(x) (int(x.size()))
#define ll long long
#define big 1000000000
#define ALL(x) x.begin(),x.end()
int lowbit(int x) {return x&(-x);}
const int maxn=2e5+10;
int n;
vector <int> edge[maxn];
int h[maxn];
int c[maxn];
map <int,ll> ans[maxn];
void combine(map<int,ll> &a,map<int,ll> b) {
	auto cur=a.begin();
	ll tmp=0;
	for (auto it=b.begin();it!=b.end();it++) {
		tmp+=it->se;
		cur->se+=tmp;
		cur=a.upper_bound(it->fi);
		if (cur!=a.end()) cur->se-=tmp;
		if (a.find(it->fi)==a.end()) {
			if (cur==a.end()) break;
			a[it->fi]=cur->se+tmp;
			cur->se=-tmp;
		}
	}
	while (cur!=a.end()) cur=a.erase(cur);
	return;
}
map<int,ll> solve(int u) {
	map<int,ll> ret;
	if (edge[u].empty()) {
		ret[big]=c[u];
		ret[h[u]]=0;
		return ret;
	}
	ret=solve(edge[u][0]);
	rep(i,1,SZ(edge[u])) {
		auto cur=solve(edge[u][i]);
		if (SZ(ret)<SZ(cur)) swap(cur,ret);
		combine(ret,cur);
	}
//	debug(ret.begin()->fi);debug(ret.begin()->se);
	auto it=ret.lower_bound(h[u]);
	if ((it->fi)!=h[u]) {
		ret[h[u]]=(it->se);
		it->se=0;
	}
	it=ret.find(h[u]);
	while (it!=ret.begin()&&((it->se)<=c[u])) {
		auto tmp=it;tmp--;
		it->se+=tmp->se;
		it=ret.erase(tmp);
	}
	it->se-=(ll)c[u];
	ret.begin()->se+=(ll)c[u];
	it=ret.upper_bound(h[u]);
	it->se+=(ll)c[u];
//	debug(u);
//	for (auto it=ret.begin();it!=ret.end();it++) cout<<(it->fi)<<" "<<(it->se)<<endl;
	return ret;
}
int vis[maxn];
int cycle[maxn];
ll sum[maxn];
vector <int> sta;
void dfs(int u) {
	vis[u]=1;
	for (int i:edge[u]) {
		if (vis[i]==2) continue;
		if (vis[i]==1) cycle[u]=i,sta.pb(i);
		else {
			dfs(i);
			if (cycle[i]!=-1) cycle[u]=cycle[i];
		}
	}
	vis[u]=2;
	if (cycle[u]!=-1) {
		if (ans[cycle[u]].find(h[u])!=ans[cycle[u]].end()) ans[cycle[u]][h[u]]-=c[u];
		else ans[cycle[u]][h[u]]=-c[u];
		sum[cycle[u]]+=c[u];
	}
}
map <int,ll> son;
int main() {
//	freopen("input.txt","r",stdin);	
	std::ios::sync_with_stdio(false);cin.tie();
	memset(cycle,-1,sizeof(cycle));
	cin>>n;
	rep(i,1,n+1) {
		int x;
		cin>>x>>h[i]>>c[i];
		edge[x].pb(i);
	}
	rep(i,1,n+1) if(vis[i]!=2) dfs(i);
	ll res=0;
	for (int i:sta) {
		for (auto &it:ans[i]) it.se+=sum[i];
		ans[i][0]=sum[i];
		int u=i;
		son.clear();
		son[big]=0;
		do {
			int tmp;
			for (int v:edge[u]) {
				if (cycle[v]==-1) {
					auto cur=solve(v);
					if (SZ(son)<SZ(cur)) swap(son,cur);
					combine(son,cur);
				}
				else tmp=v;
			}
			u=tmp;
		}while (u!=i);
//		for (auto it:son) debug(it.fi),debug(it.se);
		ll ress=1e18,sum=0;
		auto cur=ans[i].begin();
		for (auto it:son) {
			sum+=it.se;
			while (cur!=ans[i].end()&&cur->fi<=it.fi) {
				ress=min(ress,cur->se+sum);
				cur++;
			}
		}
		res+=ress;
	}
	cout<<res;
	return 0;
}
Compilation message (stderr)
worst_reporter2.cpp: In function 'int main()':
worst_reporter2.cpp:135:12: warning: 'tmp' may be used uninitialized in this function [-Wmaybe-uninitialized]
  135 |   }while (u!=i);
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