#include <bits/stdc++.h>
#define int long long
using namespace std;
const int N = 5e3 + 42, INF = 1e18;
int n, a[N], pos[N], val[N], inv[N][N];
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
cin >> n;
for(int i = 0; i < n; i++)
cin >> a[i];
for(int i = 0; i < n; i++)
pos[a[i]-1] = i;
for(int i = 0; i < n; i++)
for(int j = i+1; j < n; j++)
if(pos[i] > pos[j])
inv[i+1][j+1] = 1;
for(int i = 1; i <= n; i++)
for(int j = 1; j <= n; j++)
inv[i][j] += inv[i-1][j] + inv[i][j-1] - inv[i-1][j-1];
for(int i = 1; i <= n; i++)
val[i] = INF;
for(int i = 0; i < n; i++) {
for(int j = i+1; j <= n; j++) {
val[j] = min(val[j], val[i] + ((j-i)*(j-i-1))/2 - 2 * (inv[j][j] + inv[i][i] - inv[i][j] - inv[j][i]));
}
}
cout << inv[n][n] + val[n];
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
0 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
0 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
324 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
360 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
1 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
0 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
324 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
360 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
1 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
21 |
Correct |
1 ms |
1348 KB |
Output is correct |
22 |
Correct |
2 ms |
1356 KB |
Output is correct |
23 |
Correct |
2 ms |
1356 KB |
Output is correct |
24 |
Correct |
1 ms |
1356 KB |
Output is correct |
25 |
Correct |
1 ms |
1356 KB |
Output is correct |
26 |
Correct |
1 ms |
1356 KB |
Output is correct |
27 |
Correct |
1 ms |
1356 KB |
Output is correct |
28 |
Correct |
2 ms |
1356 KB |
Output is correct |
29 |
Correct |
1 ms |
1356 KB |
Output is correct |
30 |
Correct |
1 ms |
1356 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
0 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
324 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
360 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
1 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
21 |
Correct |
1 ms |
1348 KB |
Output is correct |
22 |
Correct |
2 ms |
1356 KB |
Output is correct |
23 |
Correct |
2 ms |
1356 KB |
Output is correct |
24 |
Correct |
1 ms |
1356 KB |
Output is correct |
25 |
Correct |
1 ms |
1356 KB |
Output is correct |
26 |
Correct |
1 ms |
1356 KB |
Output is correct |
27 |
Correct |
1 ms |
1356 KB |
Output is correct |
28 |
Correct |
2 ms |
1356 KB |
Output is correct |
29 |
Correct |
1 ms |
1356 KB |
Output is correct |
30 |
Correct |
1 ms |
1356 KB |
Output is correct |
31 |
Correct |
13 ms |
8504 KB |
Output is correct |
32 |
Correct |
11 ms |
8520 KB |
Output is correct |
33 |
Correct |
11 ms |
8552 KB |
Output is correct |
34 |
Correct |
14 ms |
8524 KB |
Output is correct |
35 |
Correct |
12 ms |
8512 KB |
Output is correct |
36 |
Correct |
12 ms |
8512 KB |
Output is correct |
37 |
Correct |
11 ms |
8524 KB |
Output is correct |
38 |
Correct |
13 ms |
8624 KB |
Output is correct |
39 |
Correct |
10 ms |
8524 KB |
Output is correct |
40 |
Correct |
11 ms |
8524 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
0 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
324 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
360 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
1 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
21 |
Correct |
1 ms |
1348 KB |
Output is correct |
22 |
Correct |
2 ms |
1356 KB |
Output is correct |
23 |
Correct |
2 ms |
1356 KB |
Output is correct |
24 |
Correct |
1 ms |
1356 KB |
Output is correct |
25 |
Correct |
1 ms |
1356 KB |
Output is correct |
26 |
Correct |
1 ms |
1356 KB |
Output is correct |
27 |
Correct |
1 ms |
1356 KB |
Output is correct |
28 |
Correct |
2 ms |
1356 KB |
Output is correct |
29 |
Correct |
1 ms |
1356 KB |
Output is correct |
30 |
Correct |
1 ms |
1356 KB |
Output is correct |
31 |
Correct |
13 ms |
8504 KB |
Output is correct |
32 |
Correct |
11 ms |
8520 KB |
Output is correct |
33 |
Correct |
11 ms |
8552 KB |
Output is correct |
34 |
Correct |
14 ms |
8524 KB |
Output is correct |
35 |
Correct |
12 ms |
8512 KB |
Output is correct |
36 |
Correct |
12 ms |
8512 KB |
Output is correct |
37 |
Correct |
11 ms |
8524 KB |
Output is correct |
38 |
Correct |
13 ms |
8624 KB |
Output is correct |
39 |
Correct |
10 ms |
8524 KB |
Output is correct |
40 |
Correct |
11 ms |
8524 KB |
Output is correct |
41 |
Correct |
409 ms |
197660 KB |
Output is correct |
42 |
Correct |
409 ms |
197704 KB |
Output is correct |
43 |
Correct |
400 ms |
197748 KB |
Output is correct |
44 |
Correct |
376 ms |
197740 KB |
Output is correct |
45 |
Correct |
419 ms |
197700 KB |
Output is correct |
46 |
Correct |
385 ms |
197780 KB |
Output is correct |
47 |
Correct |
392 ms |
197780 KB |
Output is correct |
48 |
Correct |
401 ms |
197848 KB |
Output is correct |
49 |
Correct |
372 ms |
197772 KB |
Output is correct |
50 |
Correct |
417 ms |
197688 KB |
Output is correct |
51 |
Correct |
385 ms |
197700 KB |
Output is correct |
52 |
Correct |
385 ms |
197700 KB |
Output is correct |
53 |
Correct |
387 ms |
197748 KB |
Output is correct |
54 |
Correct |
416 ms |
197780 KB |
Output is correct |
55 |
Correct |
375 ms |
197780 KB |
Output is correct |