#include <bits/stdc++.h>
using namespace std;
#define int long long
#define pi pair<int, int>
#define pii pair<int, pi>
#define fi first
#define se second
#ifdef _WIN32
#define getchar_unlocked _getchar_nolock
#endif
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
int dp[5005], A[5005], pos[5005], P[5005][5005], col[5005][5005], n;
void solve(){
cin >> n;
for(int i = 1; i <= n; i++){
cin >> A[i];
pos[A[i]] = i;
}
for(int i = 1; i <= n; i++){
for(int j = i + 1; j <= n; j++){
if(pos[i] < pos[j])P[i][j]++;
P[i][j] += P[i][j - 1];
}
}
for(int i = 1; i <= n; i++){
for(int j = 1; j <= n; j++){
col[i][j] = col[i - 1][j] + P[i][j];
}
}
dp[0] = 0;
for(int i = 1; i <= n; i++){
dp[i] = 1e18;
for(int j = i; j >= 1; j--){
//arrange j..i in i..j
int cnt = 0;
/*
for(int k = 1; k < j; k++){
int tmp = P[k][i] - P[k][j - 1];
cnt += (i - j + 1) - tmp;
}
*/
cnt += (i - j + 1) * (j - 1) - col[j - 1][i] + col[j - 1][j - 1];
/*
for(int k = j; k <= i; k++){
int tmp = P[k][i] - P[k][k];
//cnt += i - k - tmp;
cnt += tmp;
}
*/
cnt += col[i][i] - col[j - 1][i];
dp[i] = min(dp[i], cnt + dp[j - 1]);
}
//cout << dp[i] << ' ';
}
cout << dp[n];
//cout << *min_element(dp[n] + 1, dp[n] + n + 1);
}
main(){
ios::sync_with_stdio(0);cin.tie(0);
int tc = 1;
//cin >> tc;
for(int tc1=1;tc1<=tc;tc1++){
// cout << "Case #" << tc1 << ": ";
solve();
}
}
Compilation message
Main.cpp:62:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
62 | main(){
| ^~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2648 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2648 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2396 KB |
Output is correct |
17 |
Correct |
1 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2396 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2648 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2396 KB |
Output is correct |
17 |
Correct |
1 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2396 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
2 ms |
9564 KB |
Output is correct |
22 |
Correct |
2 ms |
9564 KB |
Output is correct |
23 |
Correct |
2 ms |
9564 KB |
Output is correct |
24 |
Correct |
2 ms |
9564 KB |
Output is correct |
25 |
Correct |
2 ms |
9564 KB |
Output is correct |
26 |
Correct |
2 ms |
9564 KB |
Output is correct |
27 |
Correct |
2 ms |
9564 KB |
Output is correct |
28 |
Correct |
2 ms |
9564 KB |
Output is correct |
29 |
Correct |
2 ms |
9564 KB |
Output is correct |
30 |
Correct |
2 ms |
9564 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2648 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2396 KB |
Output is correct |
17 |
Correct |
1 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2396 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
2 ms |
9564 KB |
Output is correct |
22 |
Correct |
2 ms |
9564 KB |
Output is correct |
23 |
Correct |
2 ms |
9564 KB |
Output is correct |
24 |
Correct |
2 ms |
9564 KB |
Output is correct |
25 |
Correct |
2 ms |
9564 KB |
Output is correct |
26 |
Correct |
2 ms |
9564 KB |
Output is correct |
27 |
Correct |
2 ms |
9564 KB |
Output is correct |
28 |
Correct |
2 ms |
9564 KB |
Output is correct |
29 |
Correct |
2 ms |
9564 KB |
Output is correct |
30 |
Correct |
2 ms |
9564 KB |
Output is correct |
31 |
Correct |
10 ms |
39004 KB |
Output is correct |
32 |
Correct |
10 ms |
39096 KB |
Output is correct |
33 |
Correct |
11 ms |
39084 KB |
Output is correct |
34 |
Correct |
10 ms |
39072 KB |
Output is correct |
35 |
Correct |
11 ms |
39004 KB |
Output is correct |
36 |
Correct |
10 ms |
39004 KB |
Output is correct |
37 |
Correct |
10 ms |
39112 KB |
Output is correct |
38 |
Correct |
11 ms |
39004 KB |
Output is correct |
39 |
Correct |
10 ms |
39004 KB |
Output is correct |
40 |
Correct |
10 ms |
39004 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2648 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2396 KB |
Output is correct |
17 |
Correct |
1 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2396 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
2 ms |
9564 KB |
Output is correct |
22 |
Correct |
2 ms |
9564 KB |
Output is correct |
23 |
Correct |
2 ms |
9564 KB |
Output is correct |
24 |
Correct |
2 ms |
9564 KB |
Output is correct |
25 |
Correct |
2 ms |
9564 KB |
Output is correct |
26 |
Correct |
2 ms |
9564 KB |
Output is correct |
27 |
Correct |
2 ms |
9564 KB |
Output is correct |
28 |
Correct |
2 ms |
9564 KB |
Output is correct |
29 |
Correct |
2 ms |
9564 KB |
Output is correct |
30 |
Correct |
2 ms |
9564 KB |
Output is correct |
31 |
Correct |
10 ms |
39004 KB |
Output is correct |
32 |
Correct |
10 ms |
39096 KB |
Output is correct |
33 |
Correct |
11 ms |
39084 KB |
Output is correct |
34 |
Correct |
10 ms |
39072 KB |
Output is correct |
35 |
Correct |
11 ms |
39004 KB |
Output is correct |
36 |
Correct |
10 ms |
39004 KB |
Output is correct |
37 |
Correct |
10 ms |
39112 KB |
Output is correct |
38 |
Correct |
11 ms |
39004 KB |
Output is correct |
39 |
Correct |
10 ms |
39004 KB |
Output is correct |
40 |
Correct |
10 ms |
39004 KB |
Output is correct |
41 |
Correct |
338 ms |
313172 KB |
Output is correct |
42 |
Correct |
325 ms |
313424 KB |
Output is correct |
43 |
Correct |
308 ms |
313368 KB |
Output is correct |
44 |
Correct |
313 ms |
313404 KB |
Output is correct |
45 |
Correct |
315 ms |
313400 KB |
Output is correct |
46 |
Correct |
312 ms |
313480 KB |
Output is correct |
47 |
Correct |
315 ms |
313364 KB |
Output is correct |
48 |
Correct |
333 ms |
313428 KB |
Output is correct |
49 |
Correct |
320 ms |
313732 KB |
Output is correct |
50 |
Correct |
304 ms |
313492 KB |
Output is correct |
51 |
Correct |
313 ms |
313724 KB |
Output is correct |
52 |
Correct |
312 ms |
313480 KB |
Output is correct |
53 |
Correct |
314 ms |
313424 KB |
Output is correct |
54 |
Correct |
301 ms |
313484 KB |
Output is correct |
55 |
Correct |
305 ms |
313428 KB |
Output is correct |