#include <bits/stdc++.h>
#define mkt make_tuple
#define all(x) x.begin(),x.end()
#define sz(x) (int)(x.size())
#define ll long long
#define lp(i,a,b) for(int i = a ; i < b ; i++ )
#define pii pair<int,int>
#define mk make_pair
#define ff first
#define ss second
#define tiii tuple<int,int,int>
#define pb push_back
const int MAX = 2e5+10 ;
const ll inf = 1e18+10LL ;
using namespace std ;
int N ;
int adj[MAX] , val[MAX] , inDeg[MAX] ;
ll cost[MAX] ;
vector<int> rev[MAX] ;
map<int, ll> *mp[MAX] ;
void print(int x){
cout << x <<": " << endl ;
for(auto e : (*mp[x])) cout << e.ff <<" " << e.ss << endl ;
cout << endl ;
}
int main(){
ios_base::sync_with_stdio(false) ;
cin.tie(0) ;
cin >> N ;
vector<int> p ;
for(int i = 1 ; i <= N ; i++ ) {
cin >> adj[i] >> val[i] >> cost[i] ;
p.pb(val[i] ) ;
}
sort(all(p) ) ;
p.erase(unique(all(p) ) , p.end() ) ;
for(int i = 1 ; i <= N ; i++ ) val[i] = lower_bound(all(p), val[i] )-p.begin()+1 ;
for(int i = 1 ; i <= N ; i++ ) rev[ adj[i] ].pb(i) ;
lp(i,1,N+1) inDeg[i] = sz(rev[i]) ;
lp(i,1,N+1) mp[i] = NULL ;
queue<int> fila ;
for(int i= 1 ; i <= N ; i++ )
if( sz(rev[i] ) == 0 ) fila.push(i) , mp[i] = new map<int,ll>() ;
while(!fila.empty() ){
int x = fila.front() ;
fila.pop() ;
for(auto e : rev[x] ){
if( mp[e] == mp[x] ) continue ;
for(auto &ee : (*mp[e]) ) (*mp[x])[ee.first] += ee.second ;
(*mp[e]).clear() ;
}
(*mp[x])[1] += cost[x] ;
(*mp[x])[val[x]] -= cost[x] ;
(*mp[x])[val[x]+1] += cost[x] ;
auto it = (*mp[x]).find(val[x] ) ;
while(it != (*mp[x]).begin() && it->second < cost[x] ){
ll s = it->second ;
it = (*mp[x]).erase(it) ;
it-- ;
it->second += s ;
}
if( mp[adj[x]] == NULL ) mp[adj[x]]=mp[x] ;
if( sz( (*mp[x]) ) > sz( (*mp[adj[x]])) ) mp[adj[x] ] = mp[x] ;
if( (--inDeg[adj[x]] ) == 0 ) fila.push(adj[x]) ;
}
ll ans = 0 ;
for(int i= 1 ; i <= N ; i++ ){
if(inDeg[i] == 0 ) continue ;
vector<int> cycle = {i, adj[i]} ;
while(cycle.back() != cycle[0] ){
int aux = adj[ cycle.back() ] ;
cycle.pb(aux) ;
}
cycle.pop_back() ;
for(auto e : cycle ){
if( mp[e] == NULL ) mp[e] = new map<int,ll>() ;
(*mp[e] )[1] += cost[e] ;
(*mp[e])[val[e]] -= cost[e] ;
(*mp[e])[val[e]+1] += cost[e] ;
for(auto ee : rev[e]){
if(mp[e] == mp[ee] or inDeg[ee] != 0 ) continue ;
for(auto &y : (*mp[ee])) (*mp[e])[y.ff] += y.ss ;
}
}
for(auto e : cycle ) inDeg[e] = 0 ;
for(int i= 1 ; i< sz(cycle) ; i++ )
for(auto e : (*mp[cycle[i]] ) ) (*mp[cycle[0]])[e.ff] += e.ss ;
ll curMin = inf ;
ll cur = 0 ;
for(auto e : (*mp[cycle[0]]) ){
cur += e.ss ;
curMin = min(curMin, cur) ;
}
ans += curMin ;
}
cout << ans <<"\n" ;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
4940 KB |
Output is correct |
2 |
Correct |
2 ms |
4940 KB |
Output is correct |
3 |
Correct |
3 ms |
4940 KB |
Output is correct |
4 |
Correct |
2 ms |
4940 KB |
Output is correct |
5 |
Incorrect |
7 ms |
5708 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
4940 KB |
Output is correct |
2 |
Correct |
2 ms |
4940 KB |
Output is correct |
3 |
Correct |
3 ms |
4940 KB |
Output is correct |
4 |
Correct |
2 ms |
4940 KB |
Output is correct |
5 |
Incorrect |
7 ms |
5708 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
4940 KB |
Output is correct |
2 |
Correct |
2 ms |
4940 KB |
Output is correct |
3 |
Correct |
3 ms |
4940 KB |
Output is correct |
4 |
Correct |
2 ms |
4940 KB |
Output is correct |
5 |
Incorrect |
7 ms |
5708 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |