#include <bits/stdc++.h>
using namespace std;
template<typename T>
class Fenwick {
public:
int n;
vector<T> tree;
Fenwick(int n) : n(n), tree(n) {}
void Modify(int p, T x) {
for (int i = p; i < n; i |= i + 1) {
tree[i] += x;
}
}
T Query(int p) {
T res = 0;
for (int i = p; i > 0; i &= i - 1) {
res += tree[i - 1];
}
return res;
}
};
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
int N;
cin >> N;
vector<int> H(N);
for (int i = 0; i < N; i++) {
cin >> H[i];
H[i]--;
}
// "sorted" = split H[0...N-1] into K segments,
// such that in each segment:
// H[i] == H[i + 1] + 1
// is satisfied.
vector<int> dp(N + 1, INT_MAX);
dp[0] = 0;
for (int i = 0; i < N; i++) {
vector<int> A;
vector<int> pos(N, -1);
for (int j = 0; j < N; j++) {
if (H[j] >= i) {
pos[H[j]] = A.size();
A.emplace_back(H[j]);
}
}
int sum_pos = 0;
int inversion = 0;
Fenwick<int> F(A.size());
for (int j = 1; i + j <= N; j++) { // segment = [i, i + j - 1]
F.Modify(pos[i + j - 1], 1);
sum_pos += pos[i + j - 1] - (j - 1); // place [i, i + j - 1] in front in any order
inversion += F.Query(pos[i + j - 1]) ; // sort [i, i + j - 1] in descending order
dp[i + j] = min(dp[i + j], dp[i] + sum_pos + inversion);
}
}
cout << dp[N] << '\n';
return 0;
}
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
1 ms |
364 KB |
Output is correct |
| 3 |
Correct |
1 ms |
384 KB |
Output is correct |
| 4 |
Correct |
1 ms |
384 KB |
Output is correct |
| 5 |
Correct |
1 ms |
364 KB |
Output is correct |
| 6 |
Correct |
1 ms |
364 KB |
Output is correct |
| 7 |
Correct |
1 ms |
364 KB |
Output is correct |
| 8 |
Correct |
1 ms |
364 KB |
Output is correct |
| 9 |
Correct |
1 ms |
364 KB |
Output is correct |
| 10 |
Correct |
1 ms |
364 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
1 ms |
364 KB |
Output is correct |
| 3 |
Correct |
1 ms |
384 KB |
Output is correct |
| 4 |
Correct |
1 ms |
384 KB |
Output is correct |
| 5 |
Correct |
1 ms |
364 KB |
Output is correct |
| 6 |
Correct |
1 ms |
364 KB |
Output is correct |
| 7 |
Correct |
1 ms |
364 KB |
Output is correct |
| 8 |
Correct |
1 ms |
364 KB |
Output is correct |
| 9 |
Correct |
1 ms |
364 KB |
Output is correct |
| 10 |
Correct |
1 ms |
364 KB |
Output is correct |
| 11 |
Correct |
1 ms |
364 KB |
Output is correct |
| 12 |
Correct |
1 ms |
364 KB |
Output is correct |
| 13 |
Correct |
1 ms |
364 KB |
Output is correct |
| 14 |
Correct |
1 ms |
364 KB |
Output is correct |
| 15 |
Correct |
1 ms |
364 KB |
Output is correct |
| 16 |
Correct |
0 ms |
364 KB |
Output is correct |
| 17 |
Correct |
0 ms |
364 KB |
Output is correct |
| 18 |
Correct |
1 ms |
364 KB |
Output is correct |
| 19 |
Correct |
1 ms |
364 KB |
Output is correct |
| 20 |
Correct |
1 ms |
364 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
1 ms |
364 KB |
Output is correct |
| 3 |
Correct |
1 ms |
384 KB |
Output is correct |
| 4 |
Correct |
1 ms |
384 KB |
Output is correct |
| 5 |
Correct |
1 ms |
364 KB |
Output is correct |
| 6 |
Correct |
1 ms |
364 KB |
Output is correct |
| 7 |
Correct |
1 ms |
364 KB |
Output is correct |
| 8 |
Correct |
1 ms |
364 KB |
Output is correct |
| 9 |
Correct |
1 ms |
364 KB |
Output is correct |
| 10 |
Correct |
1 ms |
364 KB |
Output is correct |
| 11 |
Correct |
1 ms |
364 KB |
Output is correct |
| 12 |
Correct |
1 ms |
364 KB |
Output is correct |
| 13 |
Correct |
1 ms |
364 KB |
Output is correct |
| 14 |
Correct |
1 ms |
364 KB |
Output is correct |
| 15 |
Correct |
1 ms |
364 KB |
Output is correct |
| 16 |
Correct |
0 ms |
364 KB |
Output is correct |
| 17 |
Correct |
0 ms |
364 KB |
Output is correct |
| 18 |
Correct |
1 ms |
364 KB |
Output is correct |
| 19 |
Correct |
1 ms |
364 KB |
Output is correct |
| 20 |
Correct |
1 ms |
364 KB |
Output is correct |
| 21 |
Correct |
1 ms |
364 KB |
Output is correct |
| 22 |
Correct |
1 ms |
364 KB |
Output is correct |
| 23 |
Correct |
2 ms |
364 KB |
Output is correct |
| 24 |
Correct |
2 ms |
364 KB |
Output is correct |
| 25 |
Correct |
1 ms |
364 KB |
Output is correct |
| 26 |
Correct |
1 ms |
364 KB |
Output is correct |
| 27 |
Correct |
1 ms |
364 KB |
Output is correct |
| 28 |
Correct |
1 ms |
364 KB |
Output is correct |
| 29 |
Correct |
1 ms |
364 KB |
Output is correct |
| 30 |
Correct |
1 ms |
364 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
1 ms |
364 KB |
Output is correct |
| 3 |
Correct |
1 ms |
384 KB |
Output is correct |
| 4 |
Correct |
1 ms |
384 KB |
Output is correct |
| 5 |
Correct |
1 ms |
364 KB |
Output is correct |
| 6 |
Correct |
1 ms |
364 KB |
Output is correct |
| 7 |
Correct |
1 ms |
364 KB |
Output is correct |
| 8 |
Correct |
1 ms |
364 KB |
Output is correct |
| 9 |
Correct |
1 ms |
364 KB |
Output is correct |
| 10 |
Correct |
1 ms |
364 KB |
Output is correct |
| 11 |
Correct |
1 ms |
364 KB |
Output is correct |
| 12 |
Correct |
1 ms |
364 KB |
Output is correct |
| 13 |
Correct |
1 ms |
364 KB |
Output is correct |
| 14 |
Correct |
1 ms |
364 KB |
Output is correct |
| 15 |
Correct |
1 ms |
364 KB |
Output is correct |
| 16 |
Correct |
0 ms |
364 KB |
Output is correct |
| 17 |
Correct |
0 ms |
364 KB |
Output is correct |
| 18 |
Correct |
1 ms |
364 KB |
Output is correct |
| 19 |
Correct |
1 ms |
364 KB |
Output is correct |
| 20 |
Correct |
1 ms |
364 KB |
Output is correct |
| 21 |
Correct |
1 ms |
364 KB |
Output is correct |
| 22 |
Correct |
1 ms |
364 KB |
Output is correct |
| 23 |
Correct |
2 ms |
364 KB |
Output is correct |
| 24 |
Correct |
2 ms |
364 KB |
Output is correct |
| 25 |
Correct |
1 ms |
364 KB |
Output is correct |
| 26 |
Correct |
1 ms |
364 KB |
Output is correct |
| 27 |
Correct |
1 ms |
364 KB |
Output is correct |
| 28 |
Correct |
1 ms |
364 KB |
Output is correct |
| 29 |
Correct |
1 ms |
364 KB |
Output is correct |
| 30 |
Correct |
1 ms |
364 KB |
Output is correct |
| 31 |
Correct |
11 ms |
364 KB |
Output is correct |
| 32 |
Correct |
11 ms |
364 KB |
Output is correct |
| 33 |
Correct |
10 ms |
364 KB |
Output is correct |
| 34 |
Correct |
12 ms |
364 KB |
Output is correct |
| 35 |
Correct |
10 ms |
364 KB |
Output is correct |
| 36 |
Correct |
10 ms |
364 KB |
Output is correct |
| 37 |
Correct |
11 ms |
364 KB |
Output is correct |
| 38 |
Correct |
10 ms |
364 KB |
Output is correct |
| 39 |
Correct |
11 ms |
364 KB |
Output is correct |
| 40 |
Correct |
11 ms |
364 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
1 ms |
364 KB |
Output is correct |
| 3 |
Correct |
1 ms |
384 KB |
Output is correct |
| 4 |
Correct |
1 ms |
384 KB |
Output is correct |
| 5 |
Correct |
1 ms |
364 KB |
Output is correct |
| 6 |
Correct |
1 ms |
364 KB |
Output is correct |
| 7 |
Correct |
1 ms |
364 KB |
Output is correct |
| 8 |
Correct |
1 ms |
364 KB |
Output is correct |
| 9 |
Correct |
1 ms |
364 KB |
Output is correct |
| 10 |
Correct |
1 ms |
364 KB |
Output is correct |
| 11 |
Correct |
1 ms |
364 KB |
Output is correct |
| 12 |
Correct |
1 ms |
364 KB |
Output is correct |
| 13 |
Correct |
1 ms |
364 KB |
Output is correct |
| 14 |
Correct |
1 ms |
364 KB |
Output is correct |
| 15 |
Correct |
1 ms |
364 KB |
Output is correct |
| 16 |
Correct |
0 ms |
364 KB |
Output is correct |
| 17 |
Correct |
0 ms |
364 KB |
Output is correct |
| 18 |
Correct |
1 ms |
364 KB |
Output is correct |
| 19 |
Correct |
1 ms |
364 KB |
Output is correct |
| 20 |
Correct |
1 ms |
364 KB |
Output is correct |
| 21 |
Correct |
1 ms |
364 KB |
Output is correct |
| 22 |
Correct |
1 ms |
364 KB |
Output is correct |
| 23 |
Correct |
2 ms |
364 KB |
Output is correct |
| 24 |
Correct |
2 ms |
364 KB |
Output is correct |
| 25 |
Correct |
1 ms |
364 KB |
Output is correct |
| 26 |
Correct |
1 ms |
364 KB |
Output is correct |
| 27 |
Correct |
1 ms |
364 KB |
Output is correct |
| 28 |
Correct |
1 ms |
364 KB |
Output is correct |
| 29 |
Correct |
1 ms |
364 KB |
Output is correct |
| 30 |
Correct |
1 ms |
364 KB |
Output is correct |
| 31 |
Correct |
11 ms |
364 KB |
Output is correct |
| 32 |
Correct |
11 ms |
364 KB |
Output is correct |
| 33 |
Correct |
10 ms |
364 KB |
Output is correct |
| 34 |
Correct |
12 ms |
364 KB |
Output is correct |
| 35 |
Correct |
10 ms |
364 KB |
Output is correct |
| 36 |
Correct |
10 ms |
364 KB |
Output is correct |
| 37 |
Correct |
11 ms |
364 KB |
Output is correct |
| 38 |
Correct |
10 ms |
364 KB |
Output is correct |
| 39 |
Correct |
11 ms |
364 KB |
Output is correct |
| 40 |
Correct |
11 ms |
364 KB |
Output is correct |
| 41 |
Correct |
420 ms |
640 KB |
Output is correct |
| 42 |
Correct |
416 ms |
620 KB |
Output is correct |
| 43 |
Correct |
427 ms |
620 KB |
Output is correct |
| 44 |
Correct |
417 ms |
620 KB |
Output is correct |
| 45 |
Correct |
422 ms |
620 KB |
Output is correct |
| 46 |
Correct |
418 ms |
620 KB |
Output is correct |
| 47 |
Correct |
416 ms |
512 KB |
Output is correct |
| 48 |
Correct |
416 ms |
512 KB |
Output is correct |
| 49 |
Correct |
432 ms |
492 KB |
Output is correct |
| 50 |
Correct |
427 ms |
620 KB |
Output is correct |
| 51 |
Correct |
413 ms |
492 KB |
Output is correct |
| 52 |
Correct |
425 ms |
620 KB |
Output is correct |
| 53 |
Correct |
422 ms |
620 KB |
Output is correct |
| 54 |
Correct |
451 ms |
620 KB |
Output is correct |
| 55 |
Correct |
415 ms |
620 KB |
Output is correct |
