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Submission #891963

# Submission time Handle Problem Language Result Execution time Memory
891963 2023-12-24T13:58:31 Z alexander707070 Chorus (JOI23_chorus) C++14
61 / 100
 3945 ms 650908 KB 
#include<bits/stdc++.h>
#define MAXN 10007
using namespace std;

const int inf=1e9;

int n,k;
int ans;
char s[MAXN];

int dp[MAXN][MAXN];
int opt[MAXN][MAXN],pref[MAXN];
int sum[MAXN][MAXN],sum2[MAXN][MAXN];

int cost(int l,int r){
    if((r-l+1)%2!=0)return inf;

    return (sum[(r-l+1)/2][(l+r)/2] - sum[0][(l+r)/2-(r-l+1)/2] + sum2[(r-l+1)/2-1][(l+r)/2+1])/2;    
}

void solve(int l,int r,int optl,int optr,int k){
    if(l>r)return;

    int mid=((l+r)/2)*2;

    dp[mid][k]=inf;
    opt[mid][k]=optr;

    for(int i=min(mid,optr);i>=optl;i--){
        if(dp[i-1][k-1]+cost(i,mid)<dp[mid][k]){
            dp[mid][k]=dp[i-1][k-1]+cost(i,mid);
            opt[mid][k]=i;
        }
    }

    solve(l,mid/2-1,optl,opt[mid][k],k);
    solve(mid/2+1,r,opt[mid][k],optr,k);
}

int main(){

    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    cin>>n>>k; 
    n*=2;
    cin>>(s+1);

    for(int i=1;i<=n;i++){
        if(s[i]=='A')pref[i]++;
        else pref[i]--;
        pref[i]+=pref[i-1];
    }

    for(int i=0;i<=n/2;i++){
        for(int f=1;f<=n;f++){
            sum[i][f]=max(i-pref[f],0);
            if(i>0)sum[i][f]+=sum[i-1][f-1];

            sum2[i][f]=max(i-pref[f],0);
            if(i>0)sum2[i][f]+=sum2[i-1][f+1];
        }
    }

    for(int i=1;i<=n;i++){
        dp[i][0]=inf;
    }

    ans=inf;
    for(int i=1;i<=k;i++){
        solve(1,n/2,1,n,i);
        ans=min(ans,dp[n][i]);
    }

    cout<<ans<<"\n";

    return 0;
}

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12632 KB Output is correct
2 Correct 1 ms 12636 KB Output is correct
3 Correct 1 ms 8540 KB Output is correct
4 Correct 2 ms 12632 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 12636 KB Output is correct
7 Correct 2 ms 12632 KB Output is correct
8 Correct 2 ms 12636 KB Output is correct
9 Correct 1 ms 12636 KB Output is correct
10 Correct 1 ms 12636 KB Output is correct
11 Correct 2 ms 12632 KB Output is correct
12 Correct 1 ms 12632 KB Output is correct
13 Correct 2 ms 12632 KB Output is correct
14 Correct 2 ms 12636 KB Output is correct
15 Correct 2 ms 12636 KB Output is correct
16 Correct 2 ms 12636 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12632 KB Output is correct
2 Correct 1 ms 12636 KB Output is correct
3 Correct 1 ms 8540 KB Output is correct
4 Correct 2 ms 12632 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 12636 KB Output is correct
7 Correct 2 ms 12632 KB Output is correct
8 Correct 2 ms 12636 KB Output is correct
9 Correct 1 ms 12636 KB Output is correct
10 Correct 1 ms 12636 KB Output is correct
11 Correct 2 ms 12632 KB Output is correct
12 Correct 1 ms 12632 KB Output is correct
13 Correct 2 ms 12632 KB Output is correct
14 Correct 2 ms 12636 KB Output is correct
15 Correct 2 ms 12636 KB Output is correct
16 Correct 2 ms 12636 KB Output is correct
17 Correct 6 ms 49500 KB Output is correct
18 Correct 16 ms 127580 KB Output is correct
19 Correct 22 ms 127580 KB Output is correct
20 Correct 15 ms 127580 KB Output is correct
21 Correct 14 ms 127576 KB Output is correct
22 Correct 30 ms 127748 KB Output is correct
23 Correct 25 ms 127576 KB Output is correct
24 Correct 15 ms 127580 KB Output is correct
25 Correct 27 ms 127580 KB Output is correct
26 Correct 24 ms 127576 KB Output is correct
27 Correct 18 ms 123484 KB Output is correct
28 Correct 17 ms 123468 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12632 KB Output is correct
2 Correct 1 ms 12636 KB Output is correct
3 Correct 1 ms 8540 KB Output is correct
4 Correct 2 ms 12632 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 12636 KB Output is correct
7 Correct 2 ms 12632 KB Output is correct
8 Correct 2 ms 12636 KB Output is correct
9 Correct 1 ms 12636 KB Output is correct
10 Correct 1 ms 12636 KB Output is correct
11 Correct 2 ms 12632 KB Output is correct
12 Correct 1 ms 12632 KB Output is correct
13 Correct 2 ms 12632 KB Output is correct
14 Correct 2 ms 12636 KB Output is correct
15 Correct 2 ms 12636 KB Output is correct
16 Correct 2 ms 12636 KB Output is correct
17 Correct 6 ms 49500 KB Output is correct
18 Correct 16 ms 127580 KB Output is correct
19 Correct 22 ms 127580 KB Output is correct
20 Correct 15 ms 127580 KB Output is correct
21 Correct 14 ms 127576 KB Output is correct
22 Correct 30 ms 127748 KB Output is correct
23 Correct 25 ms 127576 KB Output is correct
24 Correct 15 ms 127580 KB Output is correct
25 Correct 27 ms 127580 KB Output is correct
26 Correct 24 ms 127576 KB Output is correct
27 Correct 18 ms 123484 KB Output is correct
28 Correct 17 ms 123468 KB Output is correct
29 Correct 1554 ms 526928 KB Output is correct
30 Correct 2879 ms 624908 KB Output is correct
31 Correct 841 ms 495728 KB Output is correct
32 Correct 176 ms 455648 KB Output is correct
33 Correct 183 ms 455600 KB Output is correct
34 Correct 3507 ms 650744 KB Output is correct
35 Correct 3945 ms 650908 KB Output is correct
36 Correct 192 ms 456068 KB Output is correct
37 Correct 901 ms 494480 KB Output is correct
38 Correct 2782 ms 617384 KB Output is correct
39 Correct 1742 ms 549088 KB Output is correct
40 Correct 1506 ms 520456 KB Output is correct
41 Correct 1599 ms 520428 KB Output is correct
42 Correct 3484 ms 520620 KB Output is correct

Subtask #4
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12632 KB Output is correct
2 Correct 1 ms 12636 KB Output is correct
3 Correct 1 ms 8540 KB Output is correct
4 Correct 2 ms 12632 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 12636 KB Output is correct
7 Correct 2 ms 12632 KB Output is correct
8 Correct 2 ms 12636 KB Output is correct
9 Correct 1 ms 12636 KB Output is correct
10 Correct 1 ms 12636 KB Output is correct
11 Correct 2 ms 12632 KB Output is correct
12 Correct 1 ms 12632 KB Output is correct
13 Correct 2 ms 12632 KB Output is correct
14 Correct 2 ms 12636 KB Output is correct
15 Correct 2 ms 12636 KB Output is correct
16 Correct 2 ms 12636 KB Output is correct
17 Correct 6 ms 49500 KB Output is correct
18 Correct 16 ms 127580 KB Output is correct
19 Correct 22 ms 127580 KB Output is correct
20 Correct 15 ms 127580 KB Output is correct
21 Correct 14 ms 127576 KB Output is correct
22 Correct 30 ms 127748 KB Output is correct
23 Correct 25 ms 127576 KB Output is correct
24 Correct 15 ms 127580 KB Output is correct
25 Correct 27 ms 127580 KB Output is correct
26 Correct 24 ms 127576 KB Output is correct
27 Correct 18 ms 123484 KB Output is correct
28 Correct 17 ms 123468 KB Output is correct
29 Correct 1554 ms 526928 KB Output is correct
30 Correct 2879 ms 624908 KB Output is correct
31 Correct 841 ms 495728 KB Output is correct
32 Correct 176 ms 455648 KB Output is correct
33 Correct 183 ms 455600 KB Output is correct
34 Correct 3507 ms 650744 KB Output is correct
35 Correct 3945 ms 650908 KB Output is correct
36 Correct 192 ms 456068 KB Output is correct
37 Correct 901 ms 494480 KB Output is correct
38 Correct 2782 ms 617384 KB Output is correct
39 Correct 1742 ms 549088 KB Output is correct
40 Correct 1506 ms 520456 KB Output is correct
41 Correct 1599 ms 520428 KB Output is correct
42 Correct 3484 ms 520620 KB Output is correct
43 Runtime error 29 ms 348 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 2 ms 12632 KB Output is correct
2 Correct 1 ms 12636 KB Output is correct
3 Correct 1 ms 8540 KB Output is correct
4 Correct 2 ms 12632 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 12636 KB Output is correct
7 Correct 2 ms 12632 KB Output is correct
8 Correct 2 ms 12636 KB Output is correct
9 Correct 1 ms 12636 KB Output is correct
10 Correct 1 ms 12636 KB Output is correct
11 Correct 2 ms 12632 KB Output is correct
12 Correct 1 ms 12632 KB Output is correct
13 Correct 2 ms 12632 KB Output is correct
14 Correct 2 ms 12636 KB Output is correct
15 Correct 2 ms 12636 KB Output is correct
16 Correct 2 ms 12636 KB Output is correct
17 Correct 6 ms 49500 KB Output is correct
18 Correct 16 ms 127580 KB Output is correct
19 Correct 22 ms 127580 KB Output is correct
20 Correct 15 ms 127580 KB Output is correct
21 Correct 14 ms 127576 KB Output is correct
22 Correct 30 ms 127748 KB Output is correct
23 Correct 25 ms 127576 KB Output is correct
24 Correct 15 ms 127580 KB Output is correct
25 Correct 27 ms 127580 KB Output is correct
26 Correct 24 ms 127576 KB Output is correct
27 Correct 18 ms 123484 KB Output is correct
28 Correct 17 ms 123468 KB Output is correct
29 Correct 1554 ms 526928 KB Output is correct
30 Correct 2879 ms 624908 KB Output is correct
31 Correct 841 ms 495728 KB Output is correct
32 Correct 176 ms 455648 KB Output is correct
33 Correct 183 ms 455600 KB Output is correct
34 Correct 3507 ms 650744 KB Output is correct
35 Correct 3945 ms 650908 KB Output is correct
36 Correct 192 ms 456068 KB Output is correct
37 Correct 901 ms 494480 KB Output is correct
38 Correct 2782 ms 617384 KB Output is correct
39 Correct 1742 ms 549088 KB Output is correct
40 Correct 1506 ms 520456 KB Output is correct
41 Correct 1599 ms 520428 KB Output is correct
42 Correct 3484 ms 520620 KB Output is correct
43 Runtime error 29 ms 348 KB Execution killed with signal 11
44 Halted 0 ms 0 KB -