Submission #906478

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
906478	2024-01-14T10:48:14 Z	LucaIlie	Chorus (JOI23_chorus)	C++17	61 / 100	7000 ms	13492 KB

chorus

#include <bits/stdc++.h>

using namespace std;

const int MAX_N = 1e6;
const long long INF = 1e18;
int a[MAX_N + 1], countLowerA[MAX_N + 1], minGroups[MAX_N + 1], maxGroups[MAX_N + 1];
long long sumA[MAX_N + 1], sumLowerA[MAX_N + 1], minSwaps[MAX_N + 1];

void computeDP( int n, long long cost ) {
    for ( int i = 1; i <= n; i++ ) {
        minSwaps[i] = INF;
        minGroups[i] = n + 1;
        maxGroups[i] = 0;
        for ( int j = i - 1; j >= 0; j-- ) {
            long long s = minSwaps[j] + i * (countLowerA[i] - j) - (sumLowerA[i] - sumA[j]) + cost;
            if ( s < minSwaps[i] ) {
                minSwaps[i] = s;
                minGroups[i] = minGroups[j] + 1;
                maxGroups[i] = maxGroups[j] + 1;
            } else if ( s == minSwaps[i] ) {
                minGroups[i] = min( minGroups[i], minGroups[j] + 1 );
                maxGroups[i] = max( maxGroups[i], maxGroups[j] + 1 );
            }
        }
    }
}

int main() {
    int n, k, swaps;

    cin >> n >> k;

    int countB = 0, countA = 0;
    swaps = 0;
    for ( int i = 0; i < 2 * n; i++ ) {
        char ch;
        cin >> ch;
        if ( ch == 'A' )
            countA++;
        else {
            countB++;
            swaps += max( 0, countB - countA );
            a[countB] = max( countA, countB );
            sumA[countB] = sumA[countB - 1] + a[countB];
            countLowerA[a[countB]]++;
            sumLowerA[a[countB]] += a[countB];
        }
    }
    for ( int i = 1; i <= n; i++ ) {
        countLowerA[i] += countLowerA[i - 1];
        sumLowerA[i] += sumLowerA[i - 1];
    }

    long long leftCost = -1, rightCost = 1e12;
    while ( rightCost - leftCost > 1 ) {
        long long cost = (leftCost + rightCost) / 2;

        computeDP( n, cost );

        if ( minGroups[n] > k )
            leftCost = cost;
        else
            rightCost = cost;
    }

    computeDP( n, rightCost );
    cout << swaps + minSwaps[n] - min( k, maxGroups[n] ) * rightCost;

    return 0;
}

Subtask #1
16.0 / 16.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	10588 KB	Output is correct
2	Correct	3 ms	10584 KB	Output is correct
3	Correct	2 ms	10584 KB	Output is correct
4	Correct	2 ms	10588 KB	Output is correct
5	Correct	3 ms	10584 KB	Output is correct
6	Correct	2 ms	10588 KB	Output is correct
7	Correct	2 ms	10700 KB	Output is correct
8	Correct	2 ms	10588 KB	Output is correct
9	Correct	2 ms	10588 KB	Output is correct
10	Correct	2 ms	10588 KB	Output is correct
11	Correct	3 ms	10588 KB	Output is correct
12	Correct	2 ms	10584 KB	Output is correct
13	Correct	2 ms	10584 KB	Output is correct
14	Correct	2 ms	10584 KB	Output is correct
15	Correct	2 ms	10588 KB	Output is correct
16	Correct	2 ms	10588 KB	Output is correct

Subtask #2
24.0 / 24.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	10588 KB	Output is correct
2	Correct	3 ms	10584 KB	Output is correct
3	Correct	2 ms	10584 KB	Output is correct
4	Correct	2 ms	10588 KB	Output is correct
5	Correct	3 ms	10584 KB	Output is correct
6	Correct	2 ms	10588 KB	Output is correct
7	Correct	2 ms	10700 KB	Output is correct
8	Correct	2 ms	10588 KB	Output is correct
9	Correct	2 ms	10588 KB	Output is correct
10	Correct	2 ms	10588 KB	Output is correct
11	Correct	3 ms	10588 KB	Output is correct
12	Correct	2 ms	10584 KB	Output is correct
13	Correct	2 ms	10584 KB	Output is correct
14	Correct	2 ms	10584 KB	Output is correct
15	Correct	2 ms	10588 KB	Output is correct
16	Correct	2 ms	10588 KB	Output is correct
17	Correct	4 ms	10584 KB	Output is correct
18	Correct	11 ms	10584 KB	Output is correct
19	Correct	9 ms	10588 KB	Output is correct
20	Correct	10 ms	10720 KB	Output is correct
21	Correct	11 ms	10588 KB	Output is correct
22	Correct	12 ms	10588 KB	Output is correct
23	Correct	10 ms	10720 KB	Output is correct
24	Correct	10 ms	10588 KB	Output is correct
25	Correct	10 ms	10588 KB	Output is correct
26	Correct	10 ms	10588 KB	Output is correct
27	Correct	10 ms	10588 KB	Output is correct
28	Correct	11 ms	10588 KB	Output is correct

Subtask #3
21.0 / 21.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	10588 KB	Output is correct
2	Correct	3 ms	10584 KB	Output is correct
3	Correct	2 ms	10584 KB	Output is correct
4	Correct	2 ms	10588 KB	Output is correct
5	Correct	3 ms	10584 KB	Output is correct
6	Correct	2 ms	10588 KB	Output is correct
7	Correct	2 ms	10700 KB	Output is correct
8	Correct	2 ms	10588 KB	Output is correct
9	Correct	2 ms	10588 KB	Output is correct
10	Correct	2 ms	10588 KB	Output is correct
11	Correct	3 ms	10588 KB	Output is correct
12	Correct	2 ms	10584 KB	Output is correct
13	Correct	2 ms	10584 KB	Output is correct
14	Correct	2 ms	10584 KB	Output is correct
15	Correct	2 ms	10588 KB	Output is correct
16	Correct	2 ms	10588 KB	Output is correct
17	Correct	4 ms	10584 KB	Output is correct
18	Correct	11 ms	10584 KB	Output is correct
19	Correct	9 ms	10588 KB	Output is correct
20	Correct	10 ms	10720 KB	Output is correct
21	Correct	11 ms	10588 KB	Output is correct
22	Correct	12 ms	10588 KB	Output is correct
23	Correct	10 ms	10720 KB	Output is correct
24	Correct	10 ms	10588 KB	Output is correct
25	Correct	10 ms	10588 KB	Output is correct
26	Correct	10 ms	10588 KB	Output is correct
27	Correct	10 ms	10588 KB	Output is correct
28	Correct	11 ms	10588 KB	Output is correct
29	Correct	685 ms	10756 KB	Output is correct
30	Correct	730 ms	10784 KB	Output is correct
31	Correct	712 ms	10836 KB	Output is correct
32	Correct	738 ms	10780 KB	Output is correct
33	Correct	746 ms	10776 KB	Output is correct
34	Correct	729 ms	10780 KB	Output is correct
35	Correct	804 ms	10780 KB	Output is correct
36	Correct	716 ms	10780 KB	Output is correct
37	Correct	713 ms	10776 KB	Output is correct
38	Correct	716 ms	10780 KB	Output is correct
39	Correct	712 ms	10780 KB	Output is correct
40	Correct	711 ms	10784 KB	Output is correct
41	Correct	698 ms	10776 KB	Output is correct
42	Correct	781 ms	10776 KB	Output is correct

Subtask #4
0 / 26.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	10588 KB	Output is correct
2	Correct	3 ms	10584 KB	Output is correct
3	Correct	2 ms	10584 KB	Output is correct
4	Correct	2 ms	10588 KB	Output is correct
5	Correct	3 ms	10584 KB	Output is correct
6	Correct	2 ms	10588 KB	Output is correct
7	Correct	2 ms	10700 KB	Output is correct
8	Correct	2 ms	10588 KB	Output is correct
9	Correct	2 ms	10588 KB	Output is correct
10	Correct	2 ms	10588 KB	Output is correct
11	Correct	3 ms	10588 KB	Output is correct
12	Correct	2 ms	10584 KB	Output is correct
13	Correct	2 ms	10584 KB	Output is correct
14	Correct	2 ms	10584 KB	Output is correct
15	Correct	2 ms	10588 KB	Output is correct
16	Correct	2 ms	10588 KB	Output is correct
17	Correct	4 ms	10584 KB	Output is correct
18	Correct	11 ms	10584 KB	Output is correct
19	Correct	9 ms	10588 KB	Output is correct
20	Correct	10 ms	10720 KB	Output is correct
21	Correct	11 ms	10588 KB	Output is correct
22	Correct	12 ms	10588 KB	Output is correct
23	Correct	10 ms	10720 KB	Output is correct
24	Correct	10 ms	10588 KB	Output is correct
25	Correct	10 ms	10588 KB	Output is correct
26	Correct	10 ms	10588 KB	Output is correct
27	Correct	10 ms	10588 KB	Output is correct
28	Correct	11 ms	10588 KB	Output is correct
29	Correct	685 ms	10756 KB	Output is correct
30	Correct	730 ms	10784 KB	Output is correct
31	Correct	712 ms	10836 KB	Output is correct
32	Correct	738 ms	10780 KB	Output is correct
33	Correct	746 ms	10776 KB	Output is correct
34	Correct	729 ms	10780 KB	Output is correct
35	Correct	804 ms	10780 KB	Output is correct
36	Correct	716 ms	10780 KB	Output is correct
37	Correct	713 ms	10776 KB	Output is correct
38	Correct	716 ms	10780 KB	Output is correct
39	Correct	712 ms	10780 KB	Output is correct
40	Correct	711 ms	10784 KB	Output is correct
41	Correct	698 ms	10776 KB	Output is correct
42	Correct	781 ms	10776 KB	Output is correct
43	Execution timed out	7026 ms	13492 KB	Time limit exceeded
44	Halted	0 ms	0 KB	-

Subtask #5
0 / 13.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	10588 KB	Output is correct
2	Correct	3 ms	10584 KB	Output is correct
3	Correct	2 ms	10584 KB	Output is correct
4	Correct	2 ms	10588 KB	Output is correct
5	Correct	3 ms	10584 KB	Output is correct
6	Correct	2 ms	10588 KB	Output is correct
7	Correct	2 ms	10700 KB	Output is correct
8	Correct	2 ms	10588 KB	Output is correct
9	Correct	2 ms	10588 KB	Output is correct
10	Correct	2 ms	10588 KB	Output is correct
11	Correct	3 ms	10588 KB	Output is correct
12	Correct	2 ms	10584 KB	Output is correct
13	Correct	2 ms	10584 KB	Output is correct
14	Correct	2 ms	10584 KB	Output is correct
15	Correct	2 ms	10588 KB	Output is correct
16	Correct	2 ms	10588 KB	Output is correct
17	Correct	4 ms	10584 KB	Output is correct
18	Correct	11 ms	10584 KB	Output is correct
19	Correct	9 ms	10588 KB	Output is correct
20	Correct	10 ms	10720 KB	Output is correct
21	Correct	11 ms	10588 KB	Output is correct
22	Correct	12 ms	10588 KB	Output is correct
23	Correct	10 ms	10720 KB	Output is correct
24	Correct	10 ms	10588 KB	Output is correct
25	Correct	10 ms	10588 KB	Output is correct
26	Correct	10 ms	10588 KB	Output is correct
27	Correct	10 ms	10588 KB	Output is correct
28	Correct	11 ms	10588 KB	Output is correct
29	Correct	685 ms	10756 KB	Output is correct
30	Correct	730 ms	10784 KB	Output is correct
31	Correct	712 ms	10836 KB	Output is correct
32	Correct	738 ms	10780 KB	Output is correct
33	Correct	746 ms	10776 KB	Output is correct
34	Correct	729 ms	10780 KB	Output is correct
35	Correct	804 ms	10780 KB	Output is correct
36	Correct	716 ms	10780 KB	Output is correct
37	Correct	713 ms	10776 KB	Output is correct
38	Correct	716 ms	10780 KB	Output is correct
39	Correct	712 ms	10780 KB	Output is correct
40	Correct	711 ms	10784 KB	Output is correct
41	Correct	698 ms	10776 KB	Output is correct
42	Correct	781 ms	10776 KB	Output is correct
43	Execution timed out	7026 ms	13492 KB	Time limit exceeded
44	Halted	0 ms	0 KB	-

Submission #906478

Compilation message

Subtask #1 16.0 / 16.0

Subtask #2 24.0 / 24.0

Subtask #3 21.0 / 21.0

Subtask #4 0 / 26.0

Subtask #5 0 / 13.0

Subtask #1
16.0 / 16.0

Subtask #2
24.0 / 24.0

Subtask #3
21.0 / 21.0

Subtask #4
0 / 26.0

Subtask #5
0 / 13.0