Submission #439346

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
439346	2021-06-29T16:53:52 Z	vkgainz	Group Photo (JOI21_ho_t3)	C++17	100 / 100	384 ms	196528 KB

Main

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

int main() {
    int N; cin >> N;
    vector<int> H(N);
    vector<int> P(N);
    for(int i = 0; i < N; i++) {
        cin >> H[i];
        --H[i];
        P[H[i]] = i;
    }
    vector<int> dp(N + 1);
    vector<vector<int>> l(N, vector<int>(N));
    for(int j = 0; j < N; j++) {
        for(int i = 0; i < j; i++) {
            if(i > 0) l[i][j] = l[i - 1][j];
            l[i][j] += (P[i] > P[j]);
        }
    }
    vector<vector<int>> inv(N, vector<int>(N));
    for(int len = 2; len <= N; len++) {
        for(int i = 0; i + len - 1 < N; i++) {
            int j = i + len - 1;
            inv[i][j] = inv[i][j - 1] + inv[i + 1][j] - inv[i + 1][j - 1] + (P[i] < P[j]);
        }
    }
    for(int i = N - 1; i >= 0; i--) {
        dp[i] = 1000000000;
        int sum = 0;
        for(int j = i; j < N; j++) {
            sum += P[j];
            if(i > 0) sum += l[i - 1][j];
            int cost = sum + inv[i][j] - (i + j) * (j - i + 1) / 2;
            dp[i] = min(dp[i], dp[j + 1] + cost);
        }
    }
    cout << dp[0];
}

Subtask #1
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	292 KB	Output is correct
3	Correct	1 ms	296 KB	Output is correct
4	Correct	1 ms	204 KB	Output is correct
5	Correct	1 ms	204 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	1 ms	204 KB	Output is correct
8	Correct	0 ms	292 KB	Output is correct
9	Correct	1 ms	204 KB	Output is correct
10	Correct	1 ms	204 KB	Output is correct

Subtask #2
7.0 / 7.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	292 KB	Output is correct
3	Correct	1 ms	296 KB	Output is correct
4	Correct	1 ms	204 KB	Output is correct
5	Correct	1 ms	204 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	1 ms	204 KB	Output is correct
8	Correct	0 ms	292 KB	Output is correct
9	Correct	1 ms	204 KB	Output is correct
10	Correct	1 ms	204 KB	Output is correct
11	Correct	1 ms	204 KB	Output is correct
12	Correct	1 ms	204 KB	Output is correct
13	Correct	1 ms	204 KB	Output is correct
14	Correct	1 ms	204 KB	Output is correct
15	Correct	1 ms	204 KB	Output is correct
16	Correct	1 ms	204 KB	Output is correct
17	Correct	1 ms	204 KB	Output is correct
18	Correct	1 ms	204 KB	Output is correct
19	Correct	1 ms	204 KB	Output is correct
20	Correct	1 ms	292 KB	Output is correct

Subtask #3
32.0 / 32.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	292 KB	Output is correct
3	Correct	1 ms	296 KB	Output is correct
4	Correct	1 ms	204 KB	Output is correct
5	Correct	1 ms	204 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	1 ms	204 KB	Output is correct
8	Correct	0 ms	292 KB	Output is correct
9	Correct	1 ms	204 KB	Output is correct
10	Correct	1 ms	204 KB	Output is correct
11	Correct	1 ms	204 KB	Output is correct
12	Correct	1 ms	204 KB	Output is correct
13	Correct	1 ms	204 KB	Output is correct
14	Correct	1 ms	204 KB	Output is correct
15	Correct	1 ms	204 KB	Output is correct
16	Correct	1 ms	204 KB	Output is correct
17	Correct	1 ms	204 KB	Output is correct
18	Correct	1 ms	204 KB	Output is correct
19	Correct	1 ms	204 KB	Output is correct
20	Correct	1 ms	292 KB	Output is correct
21	Correct	1 ms	588 KB	Output is correct
22	Correct	1 ms	536 KB	Output is correct
23	Correct	1 ms	588 KB	Output is correct
24	Correct	1 ms	588 KB	Output is correct
25	Correct	1 ms	580 KB	Output is correct
26	Correct	1 ms	588 KB	Output is correct
27	Correct	1 ms	548 KB	Output is correct
28	Correct	1 ms	544 KB	Output is correct
29	Correct	1 ms	588 KB	Output is correct
30	Correct	1 ms	588 KB	Output is correct

Subtask #4
20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	292 KB	Output is correct
3	Correct	1 ms	296 KB	Output is correct
4	Correct	1 ms	204 KB	Output is correct
5	Correct	1 ms	204 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	1 ms	204 KB	Output is correct
8	Correct	0 ms	292 KB	Output is correct
9	Correct	1 ms	204 KB	Output is correct
10	Correct	1 ms	204 KB	Output is correct
11	Correct	1 ms	204 KB	Output is correct
12	Correct	1 ms	204 KB	Output is correct
13	Correct	1 ms	204 KB	Output is correct
14	Correct	1 ms	204 KB	Output is correct
15	Correct	1 ms	204 KB	Output is correct
16	Correct	1 ms	204 KB	Output is correct
17	Correct	1 ms	204 KB	Output is correct
18	Correct	1 ms	204 KB	Output is correct
19	Correct	1 ms	204 KB	Output is correct
20	Correct	1 ms	292 KB	Output is correct
21	Correct	1 ms	588 KB	Output is correct
22	Correct	1 ms	536 KB	Output is correct
23	Correct	1 ms	588 KB	Output is correct
24	Correct	1 ms	588 KB	Output is correct
25	Correct	1 ms	580 KB	Output is correct
26	Correct	1 ms	588 KB	Output is correct
27	Correct	1 ms	548 KB	Output is correct
28	Correct	1 ms	544 KB	Output is correct
29	Correct	1 ms	588 KB	Output is correct
30	Correct	1 ms	588 KB	Output is correct
31	Correct	6 ms	5288 KB	Output is correct
32	Correct	6 ms	5324 KB	Output is correct
33	Correct	7 ms	5324 KB	Output is correct
34	Correct	7 ms	5324 KB	Output is correct
35	Correct	7 ms	5268 KB	Output is correct
36	Correct	6 ms	5324 KB	Output is correct
37	Correct	8 ms	5264 KB	Output is correct
38	Correct	6 ms	5324 KB	Output is correct
39	Correct	6 ms	5324 KB	Output is correct
40	Correct	7 ms	5324 KB	Output is correct

Subtask #5
36.0 / 36.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	292 KB	Output is correct
3	Correct	1 ms	296 KB	Output is correct
4	Correct	1 ms	204 KB	Output is correct
5	Correct	1 ms	204 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	1 ms	204 KB	Output is correct
8	Correct	0 ms	292 KB	Output is correct
9	Correct	1 ms	204 KB	Output is correct
10	Correct	1 ms	204 KB	Output is correct
11	Correct	1 ms	204 KB	Output is correct
12	Correct	1 ms	204 KB	Output is correct
13	Correct	1 ms	204 KB	Output is correct
14	Correct	1 ms	204 KB	Output is correct
15	Correct	1 ms	204 KB	Output is correct
16	Correct	1 ms	204 KB	Output is correct
17	Correct	1 ms	204 KB	Output is correct
18	Correct	1 ms	204 KB	Output is correct
19	Correct	1 ms	204 KB	Output is correct
20	Correct	1 ms	292 KB	Output is correct
21	Correct	1 ms	588 KB	Output is correct
22	Correct	1 ms	536 KB	Output is correct
23	Correct	1 ms	588 KB	Output is correct
24	Correct	1 ms	588 KB	Output is correct
25	Correct	1 ms	580 KB	Output is correct
26	Correct	1 ms	588 KB	Output is correct
27	Correct	1 ms	548 KB	Output is correct
28	Correct	1 ms	544 KB	Output is correct
29	Correct	1 ms	588 KB	Output is correct
30	Correct	1 ms	588 KB	Output is correct
31	Correct	6 ms	5288 KB	Output is correct
32	Correct	6 ms	5324 KB	Output is correct
33	Correct	7 ms	5324 KB	Output is correct
34	Correct	7 ms	5324 KB	Output is correct
35	Correct	7 ms	5268 KB	Output is correct
36	Correct	6 ms	5324 KB	Output is correct
37	Correct	8 ms	5264 KB	Output is correct
38	Correct	6 ms	5324 KB	Output is correct
39	Correct	6 ms	5324 KB	Output is correct
40	Correct	7 ms	5324 KB	Output is correct
41	Correct	357 ms	196200 KB	Output is correct
42	Correct	357 ms	196220 KB	Output is correct
43	Correct	342 ms	196424 KB	Output is correct
44	Correct	349 ms	196420 KB	Output is correct
45	Correct	349 ms	196444 KB	Output is correct
46	Correct	355 ms	196420 KB	Output is correct
47	Correct	377 ms	196448 KB	Output is correct
48	Correct	353 ms	196336 KB	Output is correct
49	Correct	374 ms	196528 KB	Output is correct
50	Correct	362 ms	196420 KB	Output is correct
51	Correct	384 ms	196364 KB	Output is correct
52	Correct	354 ms	196424 KB	Output is correct
53	Correct	359 ms	196396 KB	Output is correct
54	Correct	363 ms	196420 KB	Output is correct
55	Correct	365 ms	196468 KB	Output is correct

Submission #439346

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