#include <bits/stdc++.h>
using namespace std;
#define int long long
int32_t main()
{
cin.tie(0)->sync_with_stdio(0);
int n;
cin >> n;
vector<int> p(n + 1), pr(n + 1);
for(int i = 1; i <= n; i++) {
cin >> p[i];
pr[p[i]] = i;
}
vector inv(n + 1, vector<int>(n + 1));
for(int i = 1; i <= n; i++) {
for(int j = 1; j <= n; j++) {
inv[i][j] = inv[i][j - 1] + inv[i - 1][j] - inv[i - 1][j - 1] + (i < j && pr[j] < pr[i]); // j i
}
}
auto c = [&](int l, int r) {
return (inv[r][r] - inv[l - 1][r] - inv[r][l - 1] + inv[l - 1][l - 1]);
};
auto C2 = [&](int x) {
return x * (x - 1) / 2;
};
const int oo = 1e18;
vector<int> dp(n + 1, oo);
dp[0] = 0;
for(int i = 1; i <= n; i++) {
dp[i] = C2(i) - c(1, i);
for(int j = 1; j <= i; j++) {
int one = C2(i - j + 1) - c(j, i);
int two = c(1, i) - (j == 1 ? 0 : c(1, j - 1)) - c(j, i);
dp[i] = min(dp[i], dp[j - 1] + one + two);
}
}
cout << dp[n] << '\n';
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
324 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
324 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
276 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
320 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
324 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
324 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
276 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
320 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
324 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
572 KB |
Output is correct |
22 |
Correct |
1 ms |
596 KB |
Output is correct |
23 |
Correct |
1 ms |
596 KB |
Output is correct |
24 |
Correct |
1 ms |
596 KB |
Output is correct |
25 |
Correct |
1 ms |
596 KB |
Output is correct |
26 |
Correct |
1 ms |
596 KB |
Output is correct |
27 |
Correct |
1 ms |
576 KB |
Output is correct |
28 |
Correct |
1 ms |
596 KB |
Output is correct |
29 |
Correct |
1 ms |
596 KB |
Output is correct |
30 |
Correct |
1 ms |
596 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
324 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
276 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
320 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
324 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
572 KB |
Output is correct |
22 |
Correct |
1 ms |
596 KB |
Output is correct |
23 |
Correct |
1 ms |
596 KB |
Output is correct |
24 |
Correct |
1 ms |
596 KB |
Output is correct |
25 |
Correct |
1 ms |
596 KB |
Output is correct |
26 |
Correct |
1 ms |
596 KB |
Output is correct |
27 |
Correct |
1 ms |
576 KB |
Output is correct |
28 |
Correct |
1 ms |
596 KB |
Output is correct |
29 |
Correct |
1 ms |
596 KB |
Output is correct |
30 |
Correct |
1 ms |
596 KB |
Output is correct |
31 |
Correct |
6 ms |
5364 KB |
Output is correct |
32 |
Correct |
6 ms |
5332 KB |
Output is correct |
33 |
Correct |
6 ms |
5308 KB |
Output is correct |
34 |
Correct |
7 ms |
5308 KB |
Output is correct |
35 |
Correct |
7 ms |
5332 KB |
Output is correct |
36 |
Correct |
7 ms |
5328 KB |
Output is correct |
37 |
Correct |
7 ms |
5332 KB |
Output is correct |
38 |
Correct |
6 ms |
5332 KB |
Output is correct |
39 |
Correct |
5 ms |
5332 KB |
Output is correct |
40 |
Correct |
6 ms |
5332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
324 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
276 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
320 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
324 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
572 KB |
Output is correct |
22 |
Correct |
1 ms |
596 KB |
Output is correct |
23 |
Correct |
1 ms |
596 KB |
Output is correct |
24 |
Correct |
1 ms |
596 KB |
Output is correct |
25 |
Correct |
1 ms |
596 KB |
Output is correct |
26 |
Correct |
1 ms |
596 KB |
Output is correct |
27 |
Correct |
1 ms |
576 KB |
Output is correct |
28 |
Correct |
1 ms |
596 KB |
Output is correct |
29 |
Correct |
1 ms |
596 KB |
Output is correct |
30 |
Correct |
1 ms |
596 KB |
Output is correct |
31 |
Correct |
6 ms |
5364 KB |
Output is correct |
32 |
Correct |
6 ms |
5332 KB |
Output is correct |
33 |
Correct |
6 ms |
5308 KB |
Output is correct |
34 |
Correct |
7 ms |
5308 KB |
Output is correct |
35 |
Correct |
7 ms |
5332 KB |
Output is correct |
36 |
Correct |
7 ms |
5328 KB |
Output is correct |
37 |
Correct |
7 ms |
5332 KB |
Output is correct |
38 |
Correct |
6 ms |
5332 KB |
Output is correct |
39 |
Correct |
5 ms |
5332 KB |
Output is correct |
40 |
Correct |
6 ms |
5332 KB |
Output is correct |
41 |
Correct |
411 ms |
196176 KB |
Output is correct |
42 |
Correct |
405 ms |
196212 KB |
Output is correct |
43 |
Correct |
402 ms |
196272 KB |
Output is correct |
44 |
Correct |
406 ms |
196220 KB |
Output is correct |
45 |
Correct |
405 ms |
196200 KB |
Output is correct |
46 |
Correct |
410 ms |
196260 KB |
Output is correct |
47 |
Correct |
407 ms |
196300 KB |
Output is correct |
48 |
Correct |
414 ms |
196344 KB |
Output is correct |
49 |
Correct |
409 ms |
196436 KB |
Output is correct |
50 |
Correct |
408 ms |
196376 KB |
Output is correct |
51 |
Correct |
421 ms |
196340 KB |
Output is correct |
52 |
Correct |
411 ms |
196444 KB |
Output is correct |
53 |
Correct |
405 ms |
196284 KB |
Output is correct |
54 |
Correct |
412 ms |
196396 KB |
Output is correct |
55 |
Correct |
424 ms |
196368 KB |
Output is correct |