Submission #1094347

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1094347	2024-09-29T11:09:45 Z	_8_8_	Chorus (JOI23_chorus)	C++17	61 / 100	2622 ms	117760 KB

chorus

#include <bits/stdc++.h>
    
using namespace std;
    
typedef long long ll;
const int  N = 5e3 + 12, MOD = (int)1e9 + 7;

int n, k, x[N], y[N], pref[ 2 * N], col[N], opt[N];
ll dp[N], c[N][N];
void prec() {
    for(int i = 1; i <= n; i++) {
        for(int j = i; j >= 1; j--) {
            c[j][i] = c[j + 1][i];
            if(y[j] <= x[i]) {
                c[j][i] += pref[x[i]] - pref[y[j] - 1];;
            }
        }
    }
    for(int i = 1; i < n; i++) {
        for(int j = 1; j < n; j++) {
            assert(c[i][j + 1] + c[i + 1][j] >= c[i][j] + c[i + 1][j + 1]);
        }
    }
}
pair<ll, ll> calc_slow(ll pen) {
    for(int i = 1; i <= n; i++) {
        dp[i] = 1e18;
        col[i] = n + 1;
        for(int j = i; j >= 1; j--) {   
            if(pref[y[j]] > pref[x[i]] ) continue;
            if(dp[j - 1] + c[j][i] + pen <= dp[i]) {
                dp[i] = dp[j - 1] + c[j][i] + pen;
                col[i] = col[j - 1] + 1;
                opt[i] = j;
            }
        }
    }
    return {dp[n], col[n]};
}
// pair<ll, ll> calc(ll pen) {
//     for(int i = 1; i <= n; i++) {

//     }
// }
void test() {
    cin >> n >> k;
    int _x = 0, _y = 0;
    for(int i = 1; i <= n + n; i++) {
        char a;
        cin >> a;
        pref[i] = pref[i - 1];
        if(a == 'A') {
            x[++_x] = i;
            pref[i]++;
        } else { 
            y[++_y] = i;
        }
    }
    prec();
    ll l = -1, r = 1e12, res;
    while(r - l > 1) { 
        ll mid = (l + r) / 2;
        auto [val, t] = calc_slow(mid);
        if(t <= k) {
            r = mid;
            res = val - k * 1ll * mid;
        } else {
            l = mid;
        }
    }
    cout << res << '\n';
}
int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0); 
    
    int t = 1; 
    // cin >> t;
    
    while(t--) 
        test();
    return 0;
}

Subtask #1
16.0 / 16.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	344 KB	Output is correct
6	Correct	1 ms	432 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	1 ms	416 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	0 ms	348 KB	Output is correct
11	Correct	0 ms	348 KB	Output is correct
12	Correct	0 ms	420 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	0 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct

Subtask #2
24.0 / 24.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	344 KB	Output is correct
6	Correct	1 ms	432 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	1 ms	416 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	0 ms	348 KB	Output is correct
11	Correct	0 ms	348 KB	Output is correct
12	Correct	0 ms	420 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	0 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct
17	Correct	2 ms	1116 KB	Output is correct
18	Correct	9 ms	3532 KB	Output is correct
19	Correct	8 ms	3420 KB	Output is correct
20	Correct	9 ms	3420 KB	Output is correct
21	Correct	9 ms	3420 KB	Output is correct
22	Correct	9 ms	3528 KB	Output is correct
23	Correct	9 ms	3420 KB	Output is correct
24	Correct	11 ms	3416 KB	Output is correct
25	Correct	8 ms	3532 KB	Output is correct
26	Correct	9 ms	3420 KB	Output is correct
27	Correct	9 ms	3512 KB	Output is correct
28	Correct	9 ms	3364 KB	Output is correct

Subtask #3
21.0 / 21.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	344 KB	Output is correct
6	Correct	1 ms	432 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	1 ms	416 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	0 ms	348 KB	Output is correct
11	Correct	0 ms	348 KB	Output is correct
12	Correct	0 ms	420 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	0 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct
17	Correct	2 ms	1116 KB	Output is correct
18	Correct	9 ms	3532 KB	Output is correct
19	Correct	8 ms	3420 KB	Output is correct
20	Correct	9 ms	3420 KB	Output is correct
21	Correct	9 ms	3420 KB	Output is correct
22	Correct	9 ms	3528 KB	Output is correct
23	Correct	9 ms	3420 KB	Output is correct
24	Correct	11 ms	3416 KB	Output is correct
25	Correct	8 ms	3532 KB	Output is correct
26	Correct	9 ms	3420 KB	Output is correct
27	Correct	9 ms	3512 KB	Output is correct
28	Correct	9 ms	3364 KB	Output is correct
29	Correct	2261 ms	114420 KB	Output is correct
30	Correct	2238 ms	117588 KB	Output is correct
31	Correct	2326 ms	117704 KB	Output is correct
32	Correct	2410 ms	117584 KB	Output is correct
33	Correct	2458 ms	117588 KB	Output is correct
34	Correct	2536 ms	117580 KB	Output is correct
35	Correct	2356 ms	117584 KB	Output is correct
36	Correct	2622 ms	117588 KB	Output is correct
37	Correct	2522 ms	117584 KB	Output is correct
38	Correct	2545 ms	117760 KB	Output is correct
39	Correct	2403 ms	117588 KB	Output is correct
40	Correct	2354 ms	117552 KB	Output is correct
41	Correct	2461 ms	117368 KB	Output is correct
42	Correct	1115 ms	117584 KB	Output is correct

Subtask #4
0 / 26.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	344 KB	Output is correct
6	Correct	1 ms	432 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	1 ms	416 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	0 ms	348 KB	Output is correct
11	Correct	0 ms	348 KB	Output is correct
12	Correct	0 ms	420 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	0 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct
17	Correct	2 ms	1116 KB	Output is correct
18	Correct	9 ms	3532 KB	Output is correct
19	Correct	8 ms	3420 KB	Output is correct
20	Correct	9 ms	3420 KB	Output is correct
21	Correct	9 ms	3420 KB	Output is correct
22	Correct	9 ms	3528 KB	Output is correct
23	Correct	9 ms	3420 KB	Output is correct
24	Correct	11 ms	3416 KB	Output is correct
25	Correct	8 ms	3532 KB	Output is correct
26	Correct	9 ms	3420 KB	Output is correct
27	Correct	9 ms	3512 KB	Output is correct
28	Correct	9 ms	3364 KB	Output is correct
29	Correct	2261 ms	114420 KB	Output is correct
30	Correct	2238 ms	117588 KB	Output is correct
31	Correct	2326 ms	117704 KB	Output is correct
32	Correct	2410 ms	117584 KB	Output is correct
33	Correct	2458 ms	117588 KB	Output is correct
34	Correct	2536 ms	117580 KB	Output is correct
35	Correct	2356 ms	117584 KB	Output is correct
36	Correct	2622 ms	117588 KB	Output is correct
37	Correct	2522 ms	117584 KB	Output is correct
38	Correct	2545 ms	117760 KB	Output is correct
39	Correct	2403 ms	117588 KB	Output is correct
40	Correct	2354 ms	117552 KB	Output is correct
41	Correct	2461 ms	117368 KB	Output is correct
42	Correct	1115 ms	117584 KB	Output is correct
43	Runtime error	4 ms	604 KB	Execution killed with signal 11
44	Halted	0 ms	0 KB	-

Subtask #5
0 / 13.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	344 KB	Output is correct
6	Correct	1 ms	432 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	1 ms	416 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	0 ms	348 KB	Output is correct
11	Correct	0 ms	348 KB	Output is correct
12	Correct	0 ms	420 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	0 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct
17	Correct	2 ms	1116 KB	Output is correct
18	Correct	9 ms	3532 KB	Output is correct
19	Correct	8 ms	3420 KB	Output is correct
20	Correct	9 ms	3420 KB	Output is correct
21	Correct	9 ms	3420 KB	Output is correct
22	Correct	9 ms	3528 KB	Output is correct
23	Correct	9 ms	3420 KB	Output is correct
24	Correct	11 ms	3416 KB	Output is correct
25	Correct	8 ms	3532 KB	Output is correct
26	Correct	9 ms	3420 KB	Output is correct
27	Correct	9 ms	3512 KB	Output is correct
28	Correct	9 ms	3364 KB	Output is correct
29	Correct	2261 ms	114420 KB	Output is correct
30	Correct	2238 ms	117588 KB	Output is correct
31	Correct	2326 ms	117704 KB	Output is correct
32	Correct	2410 ms	117584 KB	Output is correct
33	Correct	2458 ms	117588 KB	Output is correct
34	Correct	2536 ms	117580 KB	Output is correct
35	Correct	2356 ms	117584 KB	Output is correct
36	Correct	2622 ms	117588 KB	Output is correct
37	Correct	2522 ms	117584 KB	Output is correct
38	Correct	2545 ms	117760 KB	Output is correct
39	Correct	2403 ms	117588 KB	Output is correct
40	Correct	2354 ms	117552 KB	Output is correct
41	Correct	2461 ms	117368 KB	Output is correct
42	Correct	1115 ms	117584 KB	Output is correct
43	Runtime error	4 ms	604 KB	Execution killed with signal 11
44	Halted	0 ms	0 KB	-

Submission #1094347

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