#include <bits/stdc++.h>
#define int long long
using namespace std;
int n;
int dp[5044];
void add(vector<int>& bit, int idx, int val) {
for (int i = idx + 1; i <= (int)bit.size(); i += (i & -i))
bit[i] += val;
}
int sum(vector<int>& bit, int idx) {
int ans = 0;
for (int i = idx + 1; i > 0; i -= (i & -i))
ans += bit[i];
return ans;
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n;
vector<int> ls (n + 1);
for (int i = 1; i <= n; i++)
cin >> ls[i];
for (int i = 0; i <= n; i++)
dp[i] = 1e16;
dp[0] = 0;
for (int l = 0; l + 1 <= n; l++) {
vector<int> bit (n + 2, 0);
vector<int> pos (n + 1, 0);
/*
we used everything from 1 to l
*/
int cur = l + 1;
for (int i = 1; i <= n; i++)
if (ls[i] > l)
pos[ls[i]] = cur++;
int s = 0;
int inv = 0;
for (int r = l + 1; r <= n; r++) {
// from l + 2 to r + 1
s += pos[r];
inv += sum(bit, pos[r]);
add(bit, pos[r], 1);
//cout << "from " << l << " to " << r << " s " << s << ' ' << inv << '\n';
dp[r] = min(dp[r], dp[l] + inv + s - ((r * (r + 1) / 2) - (l * (l + 1) / 2)));
}
}
cout << dp[n] << '\n';
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
344 KB |
Output is correct |
| 2 |
Correct |
0 ms |
344 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 |
344 KB |
Output is correct |
| 9 |
Correct |
0 ms |
348 KB |
Output is correct |
| 10 |
Correct |
0 ms |
348 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
344 KB |
Output is correct |
| 2 |
Correct |
0 ms |
344 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 |
344 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 |
1 ms |
348 KB |
Output is correct |
| 13 |
Correct |
0 ms |
348 KB |
Output is correct |
| 14 |
Correct |
0 ms |
456 KB |
Output is correct |
| 15 |
Correct |
1 ms |
344 KB |
Output is correct |
| 16 |
Correct |
1 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 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
344 KB |
Output is correct |
| 2 |
Correct |
0 ms |
344 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 |
344 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 |
1 ms |
348 KB |
Output is correct |
| 13 |
Correct |
0 ms |
348 KB |
Output is correct |
| 14 |
Correct |
0 ms |
456 KB |
Output is correct |
| 15 |
Correct |
1 ms |
344 KB |
Output is correct |
| 16 |
Correct |
1 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 |
348 KB |
Output is correct |
| 22 |
Correct |
1 ms |
348 KB |
Output is correct |
| 23 |
Correct |
1 ms |
348 KB |
Output is correct |
| 24 |
Correct |
1 ms |
344 KB |
Output is correct |
| 25 |
Correct |
1 ms |
344 KB |
Output is correct |
| 26 |
Correct |
1 ms |
348 KB |
Output is correct |
| 27 |
Correct |
1 ms |
348 KB |
Output is correct |
| 28 |
Correct |
1 ms |
348 KB |
Output is correct |
| 29 |
Correct |
1 ms |
348 KB |
Output is correct |
| 30 |
Correct |
1 ms |
348 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
344 KB |
Output is correct |
| 2 |
Correct |
0 ms |
344 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 |
344 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 |
1 ms |
348 KB |
Output is correct |
| 13 |
Correct |
0 ms |
348 KB |
Output is correct |
| 14 |
Correct |
0 ms |
456 KB |
Output is correct |
| 15 |
Correct |
1 ms |
344 KB |
Output is correct |
| 16 |
Correct |
1 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 |
348 KB |
Output is correct |
| 22 |
Correct |
1 ms |
348 KB |
Output is correct |
| 23 |
Correct |
1 ms |
348 KB |
Output is correct |
| 24 |
Correct |
1 ms |
344 KB |
Output is correct |
| 25 |
Correct |
1 ms |
344 KB |
Output is correct |
| 26 |
Correct |
1 ms |
348 KB |
Output is correct |
| 27 |
Correct |
1 ms |
348 KB |
Output is correct |
| 28 |
Correct |
1 ms |
348 KB |
Output is correct |
| 29 |
Correct |
1 ms |
348 KB |
Output is correct |
| 30 |
Correct |
1 ms |
348 KB |
Output is correct |
| 31 |
Correct |
7 ms |
348 KB |
Output is correct |
| 32 |
Correct |
7 ms |
488 KB |
Output is correct |
| 33 |
Correct |
7 ms |
452 KB |
Output is correct |
| 34 |
Correct |
7 ms |
348 KB |
Output is correct |
| 35 |
Correct |
7 ms |
488 KB |
Output is correct |
| 36 |
Correct |
7 ms |
348 KB |
Output is correct |
| 37 |
Correct |
7 ms |
488 KB |
Output is correct |
| 38 |
Correct |
9 ms |
348 KB |
Output is correct |
| 39 |
Correct |
8 ms |
348 KB |
Output is correct |
| 40 |
Correct |
8 ms |
348 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
344 KB |
Output is correct |
| 2 |
Correct |
0 ms |
344 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 |
344 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 |
1 ms |
348 KB |
Output is correct |
| 13 |
Correct |
0 ms |
348 KB |
Output is correct |
| 14 |
Correct |
0 ms |
456 KB |
Output is correct |
| 15 |
Correct |
1 ms |
344 KB |
Output is correct |
| 16 |
Correct |
1 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 |
348 KB |
Output is correct |
| 22 |
Correct |
1 ms |
348 KB |
Output is correct |
| 23 |
Correct |
1 ms |
348 KB |
Output is correct |
| 24 |
Correct |
1 ms |
344 KB |
Output is correct |
| 25 |
Correct |
1 ms |
344 KB |
Output is correct |
| 26 |
Correct |
1 ms |
348 KB |
Output is correct |
| 27 |
Correct |
1 ms |
348 KB |
Output is correct |
| 28 |
Correct |
1 ms |
348 KB |
Output is correct |
| 29 |
Correct |
1 ms |
348 KB |
Output is correct |
| 30 |
Correct |
1 ms |
348 KB |
Output is correct |
| 31 |
Correct |
7 ms |
348 KB |
Output is correct |
| 32 |
Correct |
7 ms |
488 KB |
Output is correct |
| 33 |
Correct |
7 ms |
452 KB |
Output is correct |
| 34 |
Correct |
7 ms |
348 KB |
Output is correct |
| 35 |
Correct |
7 ms |
488 KB |
Output is correct |
| 36 |
Correct |
7 ms |
348 KB |
Output is correct |
| 37 |
Correct |
7 ms |
488 KB |
Output is correct |
| 38 |
Correct |
9 ms |
348 KB |
Output is correct |
| 39 |
Correct |
8 ms |
348 KB |
Output is correct |
| 40 |
Correct |
8 ms |
348 KB |
Output is correct |
| 41 |
Correct |
325 ms |
612 KB |
Output is correct |
| 42 |
Correct |
328 ms |
852 KB |
Output is correct |
| 43 |
Correct |
324 ms |
608 KB |
Output is correct |
| 44 |
Correct |
327 ms |
612 KB |
Output is correct |
| 45 |
Correct |
325 ms |
612 KB |
Output is correct |
| 46 |
Correct |
330 ms |
848 KB |
Output is correct |
| 47 |
Correct |
325 ms |
612 KB |
Output is correct |
| 48 |
Correct |
327 ms |
852 KB |
Output is correct |
| 49 |
Correct |
325 ms |
612 KB |
Output is correct |
| 50 |
Correct |
323 ms |
604 KB |
Output is correct |
| 51 |
Correct |
322 ms |
612 KB |
Output is correct |
| 52 |
Correct |
328 ms |
600 KB |
Output is correct |
| 53 |
Correct |
322 ms |
608 KB |
Output is correct |
| 54 |
Correct |
336 ms |
600 KB |
Output is correct |
| 55 |
Correct |
324 ms |
604 KB |
Output is correct |
