// by pakhomovee
#include <iomanip>
#include <iostream>
#include <bitset>
#include <vector>
#include <algorithm>
#include <cmath>
#include <set>
#include <map>
#include <cmath>
#include <unordered_map>
#include <cassert>
#include <queue>
#include <unordered_set>
#include <chrono>
using namespace std;
using namespace chrono;
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#define all(a) a.begin(), a.end()
#define double long double
#define ll long long
#define dbg(x) std::cerr << #x << ": " << x << '\n';
#define FOR(i, n) for (int i = 0; i < n; ++i)
#define FEL(a, x) for (auto& a : x)
#define REV reverse
#define asrt assert
#define ll long long
#define unique1(x) x.resize(unique(all(x)) - x.begin())
const double eps = 1e-7;
void solve() {
int n;
cin >> n;
vector<int> a(n);
vector<int> pos(n);
for (int& i : a) {
cin >> i;
--i;
}
for (int i = 0; i < n; ++i) {
pos[a[i]] = i;
}
vector<int> dp(n + 1, 2e9);
int cost[n][n];
int inv[n][n];
int rinv[n][n];
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) {
cost[i][j] = inv[i][j] = rinv[i][j] = 0;
}
}
vector<int> withBigger(n, 0);
for (int i = 0; i < n; ++i) {
for (int j = 0; j < i; ++j) {
if (a[j] > a[i]) {
++withBigger[a[i]];
}
}
}
for (int j = 0; j < n; ++j) {
int curr = 0;
for (int i = j - 1; i >= 0; --i) {
if (pos[j] < pos[i]) {
++curr;
}
inv[j][i] = curr;
}
}
for (int j = 0; j < n; ++j) {
int curr = 0;
for (int i = j - 1; i >= 0; --i) {
if (pos[j] > pos[i]) {
++curr;
}
rinv[j][i] = curr;
}
}
for (int i = 0; i < n; ++i) {
for (int j = i + 1; j < n; ++j) {
int need = cost[i][j - 1];
int ps = pos[j];
need += rinv[j][i];
cost[i][j] = need;
}
}
for (int i = 0; i < n; ++i) {
int sum = 0;
for (int j = i; j < n; ++j) {
sum += withBigger[j];
sum -= inv[j][i];
if (j != n - 1) {
cost[i][j] += sum;
}
/*for (int k = n - 1; k >= 0; --k) {
if (a[k] >= i && a[k] <= j) {
++cnt;
}
if (a[k] > j) {
cost[i][j] += cnt;
}
}*/
}
}
dp[0] = 0;
for (int i = 1; i <= n; ++i) {
for (int j = i; j >= 1; --j) {
dp[i] = min(dp[i], dp[j - 1] + cost[j - 1][i - 1]);
}
}
cout << dp.back();
}
int32_t main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int t;
t = 1;
while (t--) {
solve();
}
}
Compilation message
Main.cpp: In function 'void solve()':
Main.cpp:85:17: warning: unused variable 'ps' [-Wunused-variable]
85 | int ps = pos[j];
| ^~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
312 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 |
1 ms |
320 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
312 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 |
1 ms |
320 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
324 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
320 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
312 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 |
1 ms |
320 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
324 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
320 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
724 KB |
Output is correct |
22 |
Correct |
1 ms |
724 KB |
Output is correct |
23 |
Correct |
1 ms |
724 KB |
Output is correct |
24 |
Correct |
1 ms |
724 KB |
Output is correct |
25 |
Correct |
1 ms |
724 KB |
Output is correct |
26 |
Correct |
1 ms |
700 KB |
Output is correct |
27 |
Correct |
1 ms |
724 KB |
Output is correct |
28 |
Correct |
1 ms |
724 KB |
Output is correct |
29 |
Correct |
1 ms |
700 KB |
Output is correct |
30 |
Correct |
1 ms |
700 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
312 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 |
1 ms |
320 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
324 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
320 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
724 KB |
Output is correct |
22 |
Correct |
1 ms |
724 KB |
Output is correct |
23 |
Correct |
1 ms |
724 KB |
Output is correct |
24 |
Correct |
1 ms |
724 KB |
Output is correct |
25 |
Correct |
1 ms |
724 KB |
Output is correct |
26 |
Correct |
1 ms |
700 KB |
Output is correct |
27 |
Correct |
1 ms |
724 KB |
Output is correct |
28 |
Correct |
1 ms |
724 KB |
Output is correct |
29 |
Correct |
1 ms |
700 KB |
Output is correct |
30 |
Correct |
1 ms |
700 KB |
Output is correct |
31 |
Correct |
8 ms |
7764 KB |
Output is correct |
32 |
Correct |
7 ms |
7832 KB |
Output is correct |
33 |
Correct |
8 ms |
7764 KB |
Output is correct |
34 |
Correct |
7 ms |
7848 KB |
Output is correct |
35 |
Correct |
7 ms |
7764 KB |
Output is correct |
36 |
Correct |
7 ms |
7764 KB |
Output is correct |
37 |
Correct |
7 ms |
7764 KB |
Output is correct |
38 |
Correct |
7 ms |
7764 KB |
Output is correct |
39 |
Correct |
7 ms |
7764 KB |
Output is correct |
40 |
Correct |
8 ms |
7764 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
312 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 |
1 ms |
320 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
324 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
320 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
724 KB |
Output is correct |
22 |
Correct |
1 ms |
724 KB |
Output is correct |
23 |
Correct |
1 ms |
724 KB |
Output is correct |
24 |
Correct |
1 ms |
724 KB |
Output is correct |
25 |
Correct |
1 ms |
724 KB |
Output is correct |
26 |
Correct |
1 ms |
700 KB |
Output is correct |
27 |
Correct |
1 ms |
724 KB |
Output is correct |
28 |
Correct |
1 ms |
724 KB |
Output is correct |
29 |
Correct |
1 ms |
700 KB |
Output is correct |
30 |
Correct |
1 ms |
700 KB |
Output is correct |
31 |
Correct |
8 ms |
7764 KB |
Output is correct |
32 |
Correct |
7 ms |
7832 KB |
Output is correct |
33 |
Correct |
8 ms |
7764 KB |
Output is correct |
34 |
Correct |
7 ms |
7848 KB |
Output is correct |
35 |
Correct |
7 ms |
7764 KB |
Output is correct |
36 |
Correct |
7 ms |
7764 KB |
Output is correct |
37 |
Correct |
7 ms |
7764 KB |
Output is correct |
38 |
Correct |
7 ms |
7764 KB |
Output is correct |
39 |
Correct |
7 ms |
7764 KB |
Output is correct |
40 |
Correct |
8 ms |
7764 KB |
Output is correct |
41 |
Correct |
530 ms |
293592 KB |
Output is correct |
42 |
Correct |
501 ms |
293704 KB |
Output is correct |
43 |
Correct |
518 ms |
293828 KB |
Output is correct |
44 |
Correct |
510 ms |
293828 KB |
Output is correct |
45 |
Correct |
497 ms |
293732 KB |
Output is correct |
46 |
Correct |
512 ms |
293948 KB |
Output is correct |
47 |
Correct |
508 ms |
293944 KB |
Output is correct |
48 |
Correct |
501 ms |
293940 KB |
Output is correct |
49 |
Correct |
497 ms |
293940 KB |
Output is correct |
50 |
Correct |
501 ms |
293944 KB |
Output is correct |
51 |
Correct |
493 ms |
293948 KB |
Output is correct |
52 |
Correct |
502 ms |
293836 KB |
Output is correct |
53 |
Correct |
528 ms |
293948 KB |
Output is correct |
54 |
Correct |
493 ms |
293952 KB |
Output is correct |
55 |
Correct |
498 ms |
293944 KB |
Output is correct |