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;
const int nx=2e5+5;
#define ll long long
ll n, pa[nx], h[nx], c[nx], vs[nx], ans, cy[nx];
vector<ll> d[nx], g[nx];
map<ll, ll> mp[nx];
bool dfscy(int u, int rt)
{
//cout<<"dfscy "<<u<<'\n';
vs[u]=1;
bool res=0;
for (auto v:d[u])
{
if (vs[v]==2) continue;
else if (!vs[v]) res=res||dfscy(v, rt);
else return g[rt].push_back(u), cy[u]=1, 1;
}
if (res) g[rt].push_back(u), cy[u]=1;
return res;
}
void dfsfill(int u)
{
vs[u]=2;
for (auto v:d[u]) if (vs[u]!=2) dfsfill(v);
}
void dfs(int u)
{
mp[u][0]=c[u];
for (auto v:d[u])
{
if (cy[v]) continue;
dfs(v);
if (mp[v].size()>mp[u].size()) swap(mp[u], mp[v]);
for (auto [x, y]:mp[v]) mp[u][x]+=y;
}
if (cy[u]) return;
mp[u][h[u]]+=0;
mp[u][h[u]+1]+=c[u];
auto itr=mp[u].find(h[u]);
ll sm=-c[u], lst=h[u];
while (1)
{
sm+=itr->second;
if (sm>=0) break;
itr=mp[u].erase(itr);
itr--;
}
mp[u][itr->first]=sm;
}
int main()
{
cin.tie(NULL)->sync_with_stdio(false);
cin>>n;
for (int i=1; i<=n; i++) cin>>pa[i]>>h[i]>>c[i];
for (int i=1; i<=n; i++) d[pa[i]].push_back(i);
for (int i=1; i<=n; i++)
{
if (!vs[i])
{
if (dfscy(i, i))
{
map<ll, ll> cst;
for (auto u:g[i])
{
cst[h[u]]+=c[u];
dfs(u);
if (u==i) continue;
if (mp[u].size()>mp[i].size()) swap(mp[u], mp[i]);
for (auto [x, y]:mp[u]) mp[i][x]+=y;
}
//for (auto x:mp[i]) cout<<x.first<<' '<<x.second<<'\n';
ll cur=mp[i].begin()->second, tmp=0;
auto itr=mp[i].begin();
for (auto [x, y]:cst)
{
while (itr!=mp[i].end()&&itr->first<=x) tmp+=itr->second, itr++;
//cout<<"cst "<<x<<' '<<tmp<<' '<<tmp-y<<'\n';
cur=min(cur, tmp-y);
}
//cout<<"cur "<<cur<<'\n';
ans+=cur;
}
dfsfill(i);
}
}
/*
cout<<"cy ";
for (int i=1; i<=n; i++) cout<<cy[i]<<' ';
cout<<'\n';
*/
cout<<ans;
}
Compilation message (stderr)
worst_reporter2.cpp: In function 'void dfs(int)':
worst_reporter2.cpp:48:18: warning: unused variable 'lst' [-Wunused-variable]
48 | ll sm=-c[u], lst=h[u];
| ^~~
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