#include <bits/stdc++.h>
using namespace std;
struct fenwick {
int N;
vector<int> F;
fenwick(int n) : N(n), F(n + 1) {}
void add(int i, int v) {
for (i++; i <= N; i += i & -i) {
F[i] += v;
}
}
int query(int r) {
int ans = 0;
for (; r > 0; r -= r & -r) {
ans += F[r];
}
return ans;
}
};
void solve() {
int N;
cin >> N;
vector<int> H(N);
for (int &v : H) {
cin >> v;
v--;
}
vector<int> pos(N);
for (int i = 0; i < N; i++) {
pos[H[i]] = i;
}
vector<int> p(N);
fenwick f(N);
for (int i = 0; i < N; i++) {
p[i] = i - f.query(pos[i]);
f.add(pos[i], 1);
}
vector<long long> dp(N + 1);
for (int i = 0; i < N; i++) {
fenwick right(N);
long long I = 0, X = 0;
dp[i + 1] = LLONG_MAX;
for (int l = i; l >= 0; l--) {
X += p[l] - right.query(pos[l]);
I += right.query(pos[l]);
dp[i + 1] = min(dp[i + 1], dp[l] + min(I, 1ll * (i - l) * (i - l + 1) / 2 - I) + X);
right.add(pos[l], 1);
}
}
cout << dp[N] << "\n";
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
solve();
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
316 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
320 KB |
Output is correct |
6 |
Correct |
1 ms |
316 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
316 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
320 KB |
Output is correct |
6 |
Correct |
1 ms |
316 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
324 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
320 KB |
Output is correct |
14 |
Correct |
1 ms |
316 KB |
Output is correct |
15 |
Correct |
1 ms |
320 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
320 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
316 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
320 KB |
Output is correct |
6 |
Correct |
1 ms |
316 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
324 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
320 KB |
Output is correct |
14 |
Correct |
1 ms |
316 KB |
Output is correct |
15 |
Correct |
1 ms |
320 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
320 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
316 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
2 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
316 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
320 KB |
Output is correct |
6 |
Correct |
1 ms |
316 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
324 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
320 KB |
Output is correct |
14 |
Correct |
1 ms |
316 KB |
Output is correct |
15 |
Correct |
1 ms |
320 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
320 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
316 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
2 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
9 ms |
320 KB |
Output is correct |
32 |
Correct |
8 ms |
340 KB |
Output is correct |
33 |
Correct |
8 ms |
344 KB |
Output is correct |
34 |
Correct |
8 ms |
348 KB |
Output is correct |
35 |
Correct |
8 ms |
340 KB |
Output is correct |
36 |
Correct |
12 ms |
316 KB |
Output is correct |
37 |
Correct |
9 ms |
340 KB |
Output is correct |
38 |
Correct |
8 ms |
340 KB |
Output is correct |
39 |
Correct |
9 ms |
320 KB |
Output is correct |
40 |
Correct |
9 ms |
372 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
316 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
320 KB |
Output is correct |
6 |
Correct |
1 ms |
316 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
324 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
320 KB |
Output is correct |
14 |
Correct |
1 ms |
316 KB |
Output is correct |
15 |
Correct |
1 ms |
320 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
320 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
316 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
2 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
9 ms |
320 KB |
Output is correct |
32 |
Correct |
8 ms |
340 KB |
Output is correct |
33 |
Correct |
8 ms |
344 KB |
Output is correct |
34 |
Correct |
8 ms |
348 KB |
Output is correct |
35 |
Correct |
8 ms |
340 KB |
Output is correct |
36 |
Correct |
12 ms |
316 KB |
Output is correct |
37 |
Correct |
9 ms |
340 KB |
Output is correct |
38 |
Correct |
8 ms |
340 KB |
Output is correct |
39 |
Correct |
9 ms |
320 KB |
Output is correct |
40 |
Correct |
9 ms |
372 KB |
Output is correct |
41 |
Correct |
400 ms |
468 KB |
Output is correct |
42 |
Correct |
464 ms |
468 KB |
Output is correct |
43 |
Correct |
433 ms |
468 KB |
Output is correct |
44 |
Correct |
369 ms |
468 KB |
Output is correct |
45 |
Correct |
395 ms |
456 KB |
Output is correct |
46 |
Correct |
386 ms |
468 KB |
Output is correct |
47 |
Correct |
393 ms |
468 KB |
Output is correct |
48 |
Correct |
381 ms |
464 KB |
Output is correct |
49 |
Correct |
368 ms |
468 KB |
Output is correct |
50 |
Correct |
397 ms |
468 KB |
Output is correct |
51 |
Correct |
379 ms |
468 KB |
Output is correct |
52 |
Correct |
378 ms |
468 KB |
Output is correct |
53 |
Correct |
385 ms |
468 KB |
Output is correct |
54 |
Correct |
375 ms |
460 KB |
Output is correct |
55 |
Correct |
420 ms |
468 KB |
Output is correct |