#include <bits/stdc++.h>
using namespace std;
const int INF = (int)1e9 + 123456;
struct Fenwick {
int n;
vector<int> bit;
Fenwick(int n) : n(n), bit(n + 1, 0) {}
void add(int i, int delta) {
for (i++; i <= n; i += i & -i) {
bit[i] += delta;
}
}
int sum(int i) {
int res = 0;
for (; i > 0; i -= i & -i) {
res += bit[i];
}
return res;
}
};
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n;
cin >> n;
vector<int> a(n);
vector<int> ia(n);
for (int i = 0; i < n; i++) {
cin >> a[i];
a[i]--;
ia[a[i]] = i;
}
vector<vector<int>> cost(n, vector<int>(n));
vector<int> offset(n, 0);
for (int l = 0; l < n; l++) {
Fenwick fen(n);
int inv = 0;
int sum_indices = 0;
for (int r = l; r < n; r++) {
inv += fen.sum(ia[r]);
fen.add(ia[r], +1);
sum_indices += ia[r] + offset[ia[r]];
cost[l][r] = inv + sum_indices - (r - l) * (r - l + 1) / 2;
}
for (int i = ia[l] + 1; i < n; i++) {
offset[i]--;
}
}
vector<int> dp(n + 1, INF);
dp[0] = 0;
for (int i = 0; i < n; i++) {
for (int j = i; j >= 0; j--) {
dp[i + 1] = min(dp[i + 1], dp[j] + cost[j][i]);
}
}
cout << dp[n] << '\n';
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
600 KB |
Output is correct |
22 |
Correct |
1 ms |
620 KB |
Output is correct |
23 |
Correct |
1 ms |
604 KB |
Output is correct |
24 |
Correct |
1 ms |
604 KB |
Output is correct |
25 |
Correct |
0 ms |
600 KB |
Output is correct |
26 |
Correct |
0 ms |
604 KB |
Output is correct |
27 |
Correct |
0 ms |
604 KB |
Output is correct |
28 |
Correct |
1 ms |
604 KB |
Output is correct |
29 |
Correct |
0 ms |
604 KB |
Output is correct |
30 |
Correct |
1 ms |
604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
600 KB |
Output is correct |
22 |
Correct |
1 ms |
620 KB |
Output is correct |
23 |
Correct |
1 ms |
604 KB |
Output is correct |
24 |
Correct |
1 ms |
604 KB |
Output is correct |
25 |
Correct |
0 ms |
600 KB |
Output is correct |
26 |
Correct |
0 ms |
604 KB |
Output is correct |
27 |
Correct |
0 ms |
604 KB |
Output is correct |
28 |
Correct |
1 ms |
604 KB |
Output is correct |
29 |
Correct |
0 ms |
604 KB |
Output is correct |
30 |
Correct |
1 ms |
604 KB |
Output is correct |
31 |
Correct |
4 ms |
2908 KB |
Output is correct |
32 |
Correct |
5 ms |
3000 KB |
Output is correct |
33 |
Correct |
4 ms |
2908 KB |
Output is correct |
34 |
Correct |
4 ms |
2908 KB |
Output is correct |
35 |
Correct |
4 ms |
2908 KB |
Output is correct |
36 |
Correct |
4 ms |
3004 KB |
Output is correct |
37 |
Correct |
6 ms |
2908 KB |
Output is correct |
38 |
Correct |
4 ms |
2908 KB |
Output is correct |
39 |
Correct |
4 ms |
3008 KB |
Output is correct |
40 |
Correct |
4 ms |
2908 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
600 KB |
Output is correct |
22 |
Correct |
1 ms |
620 KB |
Output is correct |
23 |
Correct |
1 ms |
604 KB |
Output is correct |
24 |
Correct |
1 ms |
604 KB |
Output is correct |
25 |
Correct |
0 ms |
600 KB |
Output is correct |
26 |
Correct |
0 ms |
604 KB |
Output is correct |
27 |
Correct |
0 ms |
604 KB |
Output is correct |
28 |
Correct |
1 ms |
604 KB |
Output is correct |
29 |
Correct |
0 ms |
604 KB |
Output is correct |
30 |
Correct |
1 ms |
604 KB |
Output is correct |
31 |
Correct |
4 ms |
2908 KB |
Output is correct |
32 |
Correct |
5 ms |
3000 KB |
Output is correct |
33 |
Correct |
4 ms |
2908 KB |
Output is correct |
34 |
Correct |
4 ms |
2908 KB |
Output is correct |
35 |
Correct |
4 ms |
2908 KB |
Output is correct |
36 |
Correct |
4 ms |
3004 KB |
Output is correct |
37 |
Correct |
6 ms |
2908 KB |
Output is correct |
38 |
Correct |
4 ms |
2908 KB |
Output is correct |
39 |
Correct |
4 ms |
3008 KB |
Output is correct |
40 |
Correct |
4 ms |
2908 KB |
Output is correct |
41 |
Correct |
308 ms |
98384 KB |
Output is correct |
42 |
Correct |
312 ms |
98436 KB |
Output is correct |
43 |
Correct |
315 ms |
98384 KB |
Output is correct |
44 |
Correct |
320 ms |
98536 KB |
Output is correct |
45 |
Correct |
311 ms |
98644 KB |
Output is correct |
46 |
Correct |
320 ms |
98548 KB |
Output is correct |
47 |
Correct |
317 ms |
98564 KB |
Output is correct |
48 |
Correct |
311 ms |
98552 KB |
Output is correct |
49 |
Correct |
310 ms |
98388 KB |
Output is correct |
50 |
Correct |
319 ms |
98804 KB |
Output is correct |
51 |
Correct |
311 ms |
98548 KB |
Output is correct |
52 |
Correct |
329 ms |
98552 KB |
Output is correct |
53 |
Correct |
311 ms |
98384 KB |
Output is correct |
54 |
Correct |
321 ms |
98552 KB |
Output is correct |
55 |
Correct |
313 ms |
98392 KB |
Output is correct |