#include <bits/stdc++.h>
using namespace std ;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds ;
template<class T> using ordered_set = tree<T , null_type , less<T> , rb_tree_tag , tree_order_statistics_node_update> ;
const int MAX = 5000 + 10 ;
int arr[MAX] ;
int n ;
int pos[MAX] , cnt[MAX] , cnt2[MAX][MAX] ;
int dp[MAX] ;
int main()
{
ios_base::sync_with_stdio(0) ;
cin.tie(0) ;
cin>>n ;
for(int i = 1 ; i <= n ; ++i)
cin>>arr[i] ;
ordered_set<int>s ;
for(int i = 1 ; i <= n ; ++i)
{
pos[arr[i]] = i ;
cnt[i] = s.size() - s.order_of_key(arr[i]) ;
s.insert(arr[i]) ;
}
for(int i = 1 ; i <= n ; ++i)
{
for(int j = i-1 ; j >= 1 ; --j)
cnt2[i][j] = cnt2[i][j+1] + (pos[j] < pos[i]) ;
}
for(int i = n ; i >= 1 ; --i)
{
dp[i] = 1e9 ;
int inv = 0 ;
for(int j = i ; j <= n ; ++j)
{
inv += cnt[j] ;
inv += cnt2[j][i] ;
inv -= (j-i) - cnt2[j][i] ;
dp[i] = min(dp[i] , dp[j+1] + inv) ;
}
}
return cout<<dp[1]<<"\n" , 0 ;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
1 ms |
340 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
| 4 |
Correct |
1 ms |
340 KB |
Output is correct |
| 5 |
Correct |
1 ms |
340 KB |
Output is correct |
| 6 |
Correct |
1 ms |
336 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
1 ms |
340 KB |
Output is correct |
| 9 |
Correct |
1 ms |
340 KB |
Output is correct |
| 10 |
Correct |
0 ms |
340 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
1 ms |
340 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
| 4 |
Correct |
1 ms |
340 KB |
Output is correct |
| 5 |
Correct |
1 ms |
340 KB |
Output is correct |
| 6 |
Correct |
1 ms |
336 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
1 ms |
340 KB |
Output is correct |
| 9 |
Correct |
1 ms |
340 KB |
Output is correct |
| 10 |
Correct |
0 ms |
340 KB |
Output is correct |
| 11 |
Correct |
1 ms |
336 KB |
Output is correct |
| 12 |
Correct |
1 ms |
340 KB |
Output is correct |
| 13 |
Correct |
1 ms |
340 KB |
Output is correct |
| 14 |
Correct |
1 ms |
340 KB |
Output is correct |
| 15 |
Correct |
0 ms |
340 KB |
Output is correct |
| 16 |
Correct |
1 ms |
340 KB |
Output is correct |
| 17 |
Correct |
1 ms |
340 KB |
Output is correct |
| 18 |
Correct |
1 ms |
340 KB |
Output is correct |
| 19 |
Correct |
1 ms |
340 KB |
Output is correct |
| 20 |
Correct |
1 ms |
340 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
1 ms |
340 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
| 4 |
Correct |
1 ms |
340 KB |
Output is correct |
| 5 |
Correct |
1 ms |
340 KB |
Output is correct |
| 6 |
Correct |
1 ms |
336 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
1 ms |
340 KB |
Output is correct |
| 9 |
Correct |
1 ms |
340 KB |
Output is correct |
| 10 |
Correct |
0 ms |
340 KB |
Output is correct |
| 11 |
Correct |
1 ms |
336 KB |
Output is correct |
| 12 |
Correct |
1 ms |
340 KB |
Output is correct |
| 13 |
Correct |
1 ms |
340 KB |
Output is correct |
| 14 |
Correct |
1 ms |
340 KB |
Output is correct |
| 15 |
Correct |
0 ms |
340 KB |
Output is correct |
| 16 |
Correct |
1 ms |
340 KB |
Output is correct |
| 17 |
Correct |
1 ms |
340 KB |
Output is correct |
| 18 |
Correct |
1 ms |
340 KB |
Output is correct |
| 19 |
Correct |
1 ms |
340 KB |
Output is correct |
| 20 |
Correct |
1 ms |
340 KB |
Output is correct |
| 21 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 22 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 23 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 24 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 25 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 26 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 27 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 28 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 29 |
Correct |
2 ms |
1236 KB |
Output is correct |
| 30 |
Correct |
1 ms |
1236 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
1 ms |
340 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
| 4 |
Correct |
1 ms |
340 KB |
Output is correct |
| 5 |
Correct |
1 ms |
340 KB |
Output is correct |
| 6 |
Correct |
1 ms |
336 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
1 ms |
340 KB |
Output is correct |
| 9 |
Correct |
1 ms |
340 KB |
Output is correct |
| 10 |
Correct |
0 ms |
340 KB |
Output is correct |
| 11 |
Correct |
1 ms |
336 KB |
Output is correct |
| 12 |
Correct |
1 ms |
340 KB |
Output is correct |
| 13 |
Correct |
1 ms |
340 KB |
Output is correct |
| 14 |
Correct |
1 ms |
340 KB |
Output is correct |
| 15 |
Correct |
0 ms |
340 KB |
Output is correct |
| 16 |
Correct |
1 ms |
340 KB |
Output is correct |
| 17 |
Correct |
1 ms |
340 KB |
Output is correct |
| 18 |
Correct |
1 ms |
340 KB |
Output is correct |
| 19 |
Correct |
1 ms |
340 KB |
Output is correct |
| 20 |
Correct |
1 ms |
340 KB |
Output is correct |
| 21 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 22 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 23 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 24 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 25 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 26 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 27 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 28 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 29 |
Correct |
2 ms |
1236 KB |
Output is correct |
| 30 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 31 |
Correct |
4 ms |
4820 KB |
Output is correct |
| 32 |
Correct |
4 ms |
4820 KB |
Output is correct |
| 33 |
Correct |
4 ms |
4820 KB |
Output is correct |
| 34 |
Correct |
4 ms |
4820 KB |
Output is correct |
| 35 |
Correct |
4 ms |
4852 KB |
Output is correct |
| 36 |
Correct |
4 ms |
4820 KB |
Output is correct |
| 37 |
Correct |
4 ms |
4868 KB |
Output is correct |
| 38 |
Correct |
4 ms |
4820 KB |
Output is correct |
| 39 |
Correct |
4 ms |
4820 KB |
Output is correct |
| 40 |
Correct |
4 ms |
4820 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
1 ms |
340 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
| 4 |
Correct |
1 ms |
340 KB |
Output is correct |
| 5 |
Correct |
1 ms |
340 KB |
Output is correct |
| 6 |
Correct |
1 ms |
336 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
1 ms |
340 KB |
Output is correct |
| 9 |
Correct |
1 ms |
340 KB |
Output is correct |
| 10 |
Correct |
0 ms |
340 KB |
Output is correct |
| 11 |
Correct |
1 ms |
336 KB |
Output is correct |
| 12 |
Correct |
1 ms |
340 KB |
Output is correct |
| 13 |
Correct |
1 ms |
340 KB |
Output is correct |
| 14 |
Correct |
1 ms |
340 KB |
Output is correct |
| 15 |
Correct |
0 ms |
340 KB |
Output is correct |
| 16 |
Correct |
1 ms |
340 KB |
Output is correct |
| 17 |
Correct |
1 ms |
340 KB |
Output is correct |
| 18 |
Correct |
1 ms |
340 KB |
Output is correct |
| 19 |
Correct |
1 ms |
340 KB |
Output is correct |
| 20 |
Correct |
1 ms |
340 KB |
Output is correct |
| 21 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 22 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 23 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 24 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 25 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 26 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 27 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 28 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 29 |
Correct |
2 ms |
1236 KB |
Output is correct |
| 30 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 31 |
Correct |
4 ms |
4820 KB |
Output is correct |
| 32 |
Correct |
4 ms |
4820 KB |
Output is correct |
| 33 |
Correct |
4 ms |
4820 KB |
Output is correct |
| 34 |
Correct |
4 ms |
4820 KB |
Output is correct |
| 35 |
Correct |
4 ms |
4852 KB |
Output is correct |
| 36 |
Correct |
4 ms |
4820 KB |
Output is correct |
| 37 |
Correct |
4 ms |
4868 KB |
Output is correct |
| 38 |
Correct |
4 ms |
4820 KB |
Output is correct |
| 39 |
Correct |
4 ms |
4820 KB |
Output is correct |
| 40 |
Correct |
4 ms |
4820 KB |
Output is correct |
| 41 |
Correct |
167 ms |
67584 KB |
Output is correct |
| 42 |
Correct |
168 ms |
67596 KB |
Output is correct |
| 43 |
Correct |
168 ms |
67532 KB |
Output is correct |
| 44 |
Correct |
207 ms |
67616 KB |
Output is correct |
| 45 |
Correct |
183 ms |
67672 KB |
Output is correct |
| 46 |
Correct |
170 ms |
67640 KB |
Output is correct |
| 47 |
Correct |
175 ms |
67532 KB |
Output is correct |
| 48 |
Correct |
168 ms |
67620 KB |
Output is correct |
| 49 |
Correct |
181 ms |
67588 KB |
Output is correct |
| 50 |
Correct |
174 ms |
67640 KB |
Output is correct |
| 51 |
Correct |
174 ms |
67640 KB |
Output is correct |
| 52 |
Correct |
187 ms |
67560 KB |
Output is correct |
| 53 |
Correct |
171 ms |
67640 KB |
Output is correct |
| 54 |
Correct |
173 ms |
67616 KB |
Output is correct |
| 55 |
Correct |
171 ms |
67624 KB |
Output is correct |
