Submission #444824

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
444824	2021-07-15T13:55:52 Z	dutch	Group Photo (JOI21_ho_t3)	C++17	100 / 100	303 ms	67520 KB

Main

#include <bits/stdc++.h>
using namespace std;

const int MAXN = 5001, INF = 1e9;

int n, a[MAXN], p[MAXN], dp[MAXN], inv[MAXN][MAXN];

signed main(){
	cin.tie(0)->sync_with_stdio(0);

	cin >> n;
	for(int i=1; i<=n; ++i){
		cin >> a[i];
		p[a[i]] = i;
	}

	for(int j=2; j<=n; ++j){
		int c = 0;
		for(int i=j-1; i; --i){
			c += p[i] > p[j];
			inv[i][j] = inv[i][j-1] + c;
		}
	}

	for(int i=1; i<=n; ++i){
		dp[i] = INF;
		for(int j=0; j<i; ++j){
			dp[i] = min(dp[i], dp[j] + inv[1][i] - inv[1][j] + ((i-j)*(i-j-1))/2 - 2 * inv[j+1][i]);
		}
	}
	cout << dp[n];
}

Subtask #1
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	332 KB	Output is correct
2	Correct	1 ms	332 KB	Output is correct
3	Correct	0 ms	332 KB	Output is correct
4	Correct	0 ms	332 KB	Output is correct
5	Correct	1 ms	332 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	1 ms	332 KB	Output is correct
8	Correct	0 ms	332 KB	Output is correct
9	Correct	1 ms	332 KB	Output is correct
10	Correct	1 ms	332 KB	Output is correct

Subtask #2
7.0 / 7.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	332 KB	Output is correct
2	Correct	1 ms	332 KB	Output is correct
3	Correct	0 ms	332 KB	Output is correct
4	Correct	0 ms	332 KB	Output is correct
5	Correct	1 ms	332 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	1 ms	332 KB	Output is correct
8	Correct	0 ms	332 KB	Output is correct
9	Correct	1 ms	332 KB	Output is correct
10	Correct	1 ms	332 KB	Output is correct
11	Correct	1 ms	332 KB	Output is correct
12	Correct	1 ms	328 KB	Output is correct
13	Correct	1 ms	332 KB	Output is correct
14	Correct	1 ms	332 KB	Output is correct
15	Correct	1 ms	332 KB	Output is correct
16	Correct	1 ms	320 KB	Output is correct
17	Correct	1 ms	332 KB	Output is correct
18	Correct	1 ms	332 KB	Output is correct
19	Correct	1 ms	332 KB	Output is correct
20	Correct	1 ms	332 KB	Output is correct

Subtask #3
32.0 / 32.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	332 KB	Output is correct
2	Correct	1 ms	332 KB	Output is correct
3	Correct	0 ms	332 KB	Output is correct
4	Correct	0 ms	332 KB	Output is correct
5	Correct	1 ms	332 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	1 ms	332 KB	Output is correct
8	Correct	0 ms	332 KB	Output is correct
9	Correct	1 ms	332 KB	Output is correct
10	Correct	1 ms	332 KB	Output is correct
11	Correct	1 ms	332 KB	Output is correct
12	Correct	1 ms	328 KB	Output is correct
13	Correct	1 ms	332 KB	Output is correct
14	Correct	1 ms	332 KB	Output is correct
15	Correct	1 ms	332 KB	Output is correct
16	Correct	1 ms	320 KB	Output is correct
17	Correct	1 ms	332 KB	Output is correct
18	Correct	1 ms	332 KB	Output is correct
19	Correct	1 ms	332 KB	Output is correct
20	Correct	1 ms	332 KB	Output is correct
21	Correct	1 ms	1092 KB	Output is correct
22	Correct	1 ms	1100 KB	Output is correct
23	Correct	2 ms	1100 KB	Output is correct
24	Correct	1 ms	1100 KB	Output is correct
25	Correct	1 ms	1228 KB	Output is correct
26	Correct	1 ms	1224 KB	Output is correct
27	Correct	1 ms	1100 KB	Output is correct
28	Correct	1 ms	1100 KB	Output is correct
29	Correct	1 ms	1100 KB	Output is correct
30	Correct	1 ms	1100 KB	Output is correct

Subtask #4
20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	332 KB	Output is correct
2	Correct	1 ms	332 KB	Output is correct
3	Correct	0 ms	332 KB	Output is correct
4	Correct	0 ms	332 KB	Output is correct
5	Correct	1 ms	332 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	1 ms	332 KB	Output is correct
8	Correct	0 ms	332 KB	Output is correct
9	Correct	1 ms	332 KB	Output is correct
10	Correct	1 ms	332 KB	Output is correct
11	Correct	1 ms	332 KB	Output is correct
12	Correct	1 ms	328 KB	Output is correct
13	Correct	1 ms	332 KB	Output is correct
14	Correct	1 ms	332 KB	Output is correct
15	Correct	1 ms	332 KB	Output is correct
16	Correct	1 ms	320 KB	Output is correct
17	Correct	1 ms	332 KB	Output is correct
18	Correct	1 ms	332 KB	Output is correct
19	Correct	1 ms	332 KB	Output is correct
20	Correct	1 ms	332 KB	Output is correct
21	Correct	1 ms	1092 KB	Output is correct
22	Correct	1 ms	1100 KB	Output is correct
23	Correct	2 ms	1100 KB	Output is correct
24	Correct	1 ms	1100 KB	Output is correct
25	Correct	1 ms	1228 KB	Output is correct
26	Correct	1 ms	1224 KB	Output is correct
27	Correct	1 ms	1100 KB	Output is correct
28	Correct	1 ms	1100 KB	Output is correct
29	Correct	1 ms	1100 KB	Output is correct
30	Correct	1 ms	1100 KB	Output is correct
31	Correct	5 ms	4808 KB	Output is correct
32	Correct	5 ms	4812 KB	Output is correct
33	Correct	5 ms	4812 KB	Output is correct
34	Correct	6 ms	4812 KB	Output is correct
35	Correct	5 ms	4812 KB	Output is correct
36	Correct	5 ms	4812 KB	Output is correct
37	Correct	5 ms	4812 KB	Output is correct
38	Correct	5 ms	4812 KB	Output is correct
39	Correct	5 ms	4812 KB	Output is correct
40	Correct	5 ms	4812 KB	Output is correct

Subtask #5
36.0 / 36.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	332 KB	Output is correct
2	Correct	1 ms	332 KB	Output is correct
3	Correct	0 ms	332 KB	Output is correct
4	Correct	0 ms	332 KB	Output is correct
5	Correct	1 ms	332 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	1 ms	332 KB	Output is correct
8	Correct	0 ms	332 KB	Output is correct
9	Correct	1 ms	332 KB	Output is correct
10	Correct	1 ms	332 KB	Output is correct
11	Correct	1 ms	332 KB	Output is correct
12	Correct	1 ms	328 KB	Output is correct
13	Correct	1 ms	332 KB	Output is correct
14	Correct	1 ms	332 KB	Output is correct
15	Correct	1 ms	332 KB	Output is correct
16	Correct	1 ms	320 KB	Output is correct
17	Correct	1 ms	332 KB	Output is correct
18	Correct	1 ms	332 KB	Output is correct
19	Correct	1 ms	332 KB	Output is correct
20	Correct	1 ms	332 KB	Output is correct
21	Correct	1 ms	1092 KB	Output is correct
22	Correct	1 ms	1100 KB	Output is correct
23	Correct	2 ms	1100 KB	Output is correct
24	Correct	1 ms	1100 KB	Output is correct
25	Correct	1 ms	1228 KB	Output is correct
26	Correct	1 ms	1224 KB	Output is correct
27	Correct	1 ms	1100 KB	Output is correct
28	Correct	1 ms	1100 KB	Output is correct
29	Correct	1 ms	1100 KB	Output is correct
30	Correct	1 ms	1100 KB	Output is correct
31	Correct	5 ms	4808 KB	Output is correct
32	Correct	5 ms	4812 KB	Output is correct
33	Correct	5 ms	4812 KB	Output is correct
34	Correct	6 ms	4812 KB	Output is correct
35	Correct	5 ms	4812 KB	Output is correct
36	Correct	5 ms	4812 KB	Output is correct
37	Correct	5 ms	4812 KB	Output is correct
38	Correct	5 ms	4812 KB	Output is correct
39	Correct	5 ms	4812 KB	Output is correct
40	Correct	5 ms	4812 KB	Output is correct
41	Correct	294 ms	67296 KB	Output is correct
42	Correct	287 ms	67292 KB	Output is correct
43	Correct	299 ms	67320 KB	Output is correct
44	Correct	297 ms	67268 KB	Output is correct
45	Correct	300 ms	67320 KB	Output is correct
46	Correct	296 ms	67224 KB	Output is correct
47	Correct	297 ms	67224 KB	Output is correct
48	Correct	295 ms	67268 KB	Output is correct
49	Correct	295 ms	67344 KB	Output is correct
50	Correct	296 ms	67264 KB	Output is correct
51	Correct	299 ms	67340 KB	Output is correct
52	Correct	303 ms	67344 KB	Output is correct
53	Correct	295 ms	67520 KB	Output is correct
54	Correct	292 ms	67268 KB	Output is correct
55	Correct	288 ms	67348 KB	Output is correct

Submission #444824

Compilation message

Subtask #1 5.0 / 5.0

Subtask #2 7.0 / 7.0

Subtask #3 32.0 / 32.0

Subtask #4 20.0 / 20.0

Subtask #5 36.0 / 36.0

Subtask #1
5.0 / 5.0

Subtask #2
7.0 / 7.0

Subtask #3
32.0 / 32.0

Subtask #4
20.0 / 20.0

Subtask #5
36.0 / 36.0