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<iostream>
#include<stack>
#include<map>
#include<vector>
#include<string>
#include<cassert>
#include<unordered_map>
#include <queue>
#include <cstdint>
#include<cstring>
#include<limits.h>
#include<cmath>
#include<set>
#include<algorithm>
#include <iomanip>
#include<numeric>
#include<bitset>
using namespace std;
#define ll long long
#define f first
#define s second
#define pii pair<int,int>
#define ppii pair<int,pii>
#define vi vector<int>
#define pb push_back
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define F(n) for(int i=0;i<n;i++)
#define lb lower_bound
#define ub upper_bound
#define fastio ios::sync_with_stdio(false);cin.tie(NULL);
#pragma GCC optimize ("03,unroll-lopps")
#define int long long
using namespace std;
const int mod=1e9+7,mxn=2e5+5,inf=1e18,minf=-1e18,lg=30,valbound=1e9;
//#undef int
int n,k,m,q;
void setIO(string name){
ios_base::sync_with_stdio(0); cin.tie(0);
freopen((name+".in").c_str(),"r",stdin);
freopen((name+".out").c_str(),"w",stdout);
}
int go[mxn+10],val[mxn+10],cost[mxn+10],p[mxn+10],deg[mxn+10];
vector<int>adj[mxn+10],have[mxn+10];
int vis[mxn+10],pa[mxn+10],on[mxn+10];;
stack<int>st;
int find(int u){return (pa[u]==u)?u:pa[u]=find(pa[u]);}
void merg(int a,int b){
a=find(a),b=find(b);
if(a==b)return;
pa[a]=b;
}
void dfs(int cur){
vis[cur]=on[cur]=1;
st.push(cur);
if(!vis[go[cur]])dfs(go[cur]);
else if(on[go[cur]]){
while(!st.empty()&&st.top()!=go[cur]){
merg(cur,st.top());
st.pop();
}
if(!st.empty()){
merg(cur,st.top());
st.pop();
}
}
on[cur]=0;
}
map<int,int>dp[mxn+10];
//keep prefix sum
//like magic tree?
//can also do merge segtree
void solve(int cur,int root){
for(auto i:adj[cur]){
solve(i,0);
if(dp[i].size()>dp[cur].size())swap(dp[cur],dp[i]);
for(auto j:dp[i])dp[cur][j.f]+=j.s;
}
if(!root){
dp[cur][val[cur]]+=cost[cur];
auto it=(dp[cur].find(val[cur]));
if(it!=dp[cur].begin()){
it=prev(it);
while(cost[cur]){
if(cost[cur]>=it->s){
cost[cur]-=it->s;
it=dp[cur].erase(it);
if(it==dp[cur].begin())break;
it=prev(it);
}
else it->s-=cost[cur],cost[cur]=0;
}
}
}
}
int sum=0;
int32_t main(){
fastio
cin>>n;
for(int i=1;i<=n;i++)cin>>go[i]>>val[i]>>cost[i],pa[i]=i,sum+=cost[i];
for(int i=1;i<=n;i++){
if(!vis[i]){
dfs(i);
while(!st.empty())st.pop();
}
}
for(int i=1;i<=n;i++)have[find(i)].pb(i);
for(int i=1;i<=n;i++)if(find(go[i])!=find(i)){
adj[find(go[i])].pb(find(i));
deg[find(i)]++;
}
int ans=0;
for(int i=1;i<=n;i++)if(find(i)==i&°[i]==0){
solve(i,1);
map<int,int>cnt;
for(auto j:have[i])cnt[val[j]]+=cost[j];
int mx=0,cursum=0,can=1;
auto it=(dp[i].end());
if(it==dp[i].begin())can=0;
else it=prev(it);
auto j=prev(cnt.end());
while(1){
while(can&&it->f>=j->f){
cursum+=it->s;
if(it==dp[i].begin())can=0;
it--;
}
mx=max(mx,cursum+j->s);
if(j==cnt.begin())break;
j--;
}
while(can){
cursum+=it->s;
if(it==dp[i].begin())can=0;
it--;
}
mx=max(mx,cursum);
ans+=mx;
}
cout<<sum-ans<<'\n';
}
/*
create graph
one cycle per comp
will be a line with cycle at the end
if we have a cycle then every node of that cycle should have the same value
we will have a forest
then we can just get min cost decreasing sequence
*/
Compilation message (stderr)
worst_reporter2.cpp:32:40: warning: bad option '-funroll-lopps' to pragma 'optimize' [-Wpragmas]
32 | #pragma GCC optimize ("03,unroll-lopps")
| ^
worst_reporter2.cpp:38:23: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
38 | void setIO(string name){
| ^
worst_reporter2.cpp:47:15: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
47 | int find(int u){return (pa[u]==u)?u:pa[u]=find(pa[u]);}
| ^
worst_reporter2.cpp:48:22: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
48 | void merg(int a,int b){
| ^
worst_reporter2.cpp:53:17: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
53 | void dfs(int cur){
| ^
worst_reporter2.cpp:73:28: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
73 | void solve(int cur,int root){
| ^
worst_reporter2.cpp:97:14: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
97 | int32_t main(){
| ^
worst_reporter2.cpp: In function 'void setIO(std::string)':
worst_reporter2.cpp:40:9: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
40 | freopen((name+".in").c_str(),"r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
worst_reporter2.cpp:41:9: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
41 | freopen((name+".out").c_str(),"w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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