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Submission #925118

# Submission time Handle Problem Language Result Execution time Memory
925118 2024-02-10T19:21:09 Z ttamx Chorus (JOI23_chorus) C++14
100 / 100
 1585 ms 45844 KB 
#include<bits/stdc++.h>

using namespace std;

using ll = long long;
using pl = pair<ll,ll>;

const int N=1e6+5;

int n,k;
string s;
int a[N],b[N];
ll qs[N];
pl dp[N];

struct Line{
    ll m,c,cnt;
    Line(ll _m,ll _c,ll _cnt):m(_m),c(_c),cnt(_cnt){}
    ll eval(ll x){
        return m*x+c;
    }
};

struct CHT{
    deque<Line> hull;
    bool bad(Line x,Line y,Line z){
        return (x.c-y.c)*(z.m-y.m)>(y.c-z.c)*(y.m-x.m);
    }
    void insert(ll m,ll c,ll cnt){
        Line v(m,c,cnt);
        while(hull.size()>1&&bad(hull.end()[-2],hull.back(),v))hull.pop_back();
        hull.emplace_back(v);
    }
    pl query(ll x){
        while(hull.size()>1&&hull[0].eval(x)>hull[1].eval(x))hull.pop_front();
        return pl(hull[0].eval(x),hull[0].cnt);
    }
};

pl solve(ll lambda){
    CHT cht;
    cht.insert(0,0,0);
    queue<int> q;
    for(int i=1;i<=n;i++){
        while(!q.empty()&&b[q.front()]<i){
            int j=q.front();
            q.pop();
            cht.insert(-j,dp[j].first-qs[b[j]]+1LL*j*b[j],dp[j].second);
        }
        dp[i]=cht.query(i);
        dp[i].first+=qs[i]+lambda;
        dp[i].second++;
        q.emplace(i);
    }
    return dp[n];
}

int main(){
    cin.tie(nullptr)->sync_with_stdio(false);
    cin >> n >> k >> s;
    for(int i=0,ia=0,ib=0;i<2*n;i++){
        if(s[i]=='A'){
            a[++ia]=ib;
        }else{
            ib++;
            b[ib]=max(ib,ia);
        }
    }
    for(int i=1;i<=n;i++)qs[i]=qs[i-1]+a[i];
    ll l=0,r=1LL*n*n;
    while(l<r){
        ll m=(l+r)/2;
        if(solve(m).second<=k)r=m;
        else l=m+1;
    }
    cout << solve(l).first-k*l;
}

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4440 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4440 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 1 ms 4444 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 1 ms 4444 KB Output is correct
21 Correct 1 ms 4444 KB Output is correct
22 Correct 1 ms 4444 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 2 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4440 KB Output is correct
27 Correct 1 ms 4444 KB Output is correct
28 Correct 1 ms 4444 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4440 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 1 ms 4444 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 1 ms 4444 KB Output is correct
21 Correct 1 ms 4444 KB Output is correct
22 Correct 1 ms 4444 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 2 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4440 KB Output is correct
27 Correct 1 ms 4444 KB Output is correct
28 Correct 1 ms 4444 KB Output is correct
29 Correct 4 ms 4700 KB Output is correct
30 Correct 5 ms 4700 KB Output is correct
31 Correct 5 ms 4700 KB Output is correct
32 Correct 3 ms 4700 KB Output is correct
33 Correct 3 ms 4700 KB Output is correct
34 Correct 3 ms 4952 KB Output is correct
35 Correct 3 ms 4700 KB Output is correct
36 Correct 6 ms 4772 KB Output is correct
37 Correct 6 ms 4700 KB Output is correct
38 Correct 4 ms 4700 KB Output is correct
39 Correct 6 ms 4700 KB Output is correct
40 Correct 3 ms 4700 KB Output is correct
41 Correct 3 ms 4700 KB Output is correct
42 Correct 2 ms 4700 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4440 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 1 ms 4444 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 1 ms 4444 KB Output is correct
21 Correct 1 ms 4444 KB Output is correct
22 Correct 1 ms 4444 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 2 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4440 KB Output is correct
27 Correct 1 ms 4444 KB Output is correct
28 Correct 1 ms 4444 KB Output is correct
29 Correct 4 ms 4700 KB Output is correct
30 Correct 5 ms 4700 KB Output is correct
31 Correct 5 ms 4700 KB Output is correct
32 Correct 3 ms 4700 KB Output is correct
33 Correct 3 ms 4700 KB Output is correct
34 Correct 3 ms 4952 KB Output is correct
35 Correct 3 ms 4700 KB Output is correct
36 Correct 6 ms 4772 KB Output is correct
37 Correct 6 ms 4700 KB Output is correct
38 Correct 4 ms 4700 KB Output is correct
39 Correct 6 ms 4700 KB Output is correct
40 Correct 3 ms 4700 KB Output is correct
41 Correct 3 ms 4700 KB Output is correct
42 Correct 2 ms 4700 KB Output is correct
43 Correct 71 ms 8096 KB Output is correct
44 Correct 125 ms 9016 KB Output is correct
45 Correct 125 ms 8904 KB Output is correct
46 Correct 68 ms 9004 KB Output is correct
47 Correct 61 ms 8872 KB Output is correct
48 Correct 71 ms 8872 KB Output is correct
49 Correct 69 ms 8868 KB Output is correct
50 Correct 130 ms 8876 KB Output is correct
51 Correct 133 ms 8872 KB Output is correct
52 Correct 69 ms 8872 KB Output is correct
53 Correct 68 ms 8872 KB Output is correct
54 Correct 129 ms 8872 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4440 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 1 ms 4444 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 1 ms 4444 KB Output is correct
21 Correct 1 ms 4444 KB Output is correct
22 Correct 1 ms 4444 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 2 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4440 KB Output is correct
27 Correct 1 ms 4444 KB Output is correct
28 Correct 1 ms 4444 KB Output is correct
29 Correct 4 ms 4700 KB Output is correct
30 Correct 5 ms 4700 KB Output is correct
31 Correct 5 ms 4700 KB Output is correct
32 Correct 3 ms 4700 KB Output is correct
33 Correct 3 ms 4700 KB Output is correct
34 Correct 3 ms 4952 KB Output is correct
35 Correct 3 ms 4700 KB Output is correct
36 Correct 6 ms 4772 KB Output is correct
37 Correct 6 ms 4700 KB Output is correct
38 Correct 4 ms 4700 KB Output is correct
39 Correct 6 ms 4700 KB Output is correct
40 Correct 3 ms 4700 KB Output is correct
41 Correct 3 ms 4700 KB Output is correct
42 Correct 2 ms 4700 KB Output is correct
43 Correct 71 ms 8096 KB Output is correct
44 Correct 125 ms 9016 KB Output is correct
45 Correct 125 ms 8904 KB Output is correct
46 Correct 68 ms 9004 KB Output is correct
47 Correct 61 ms 8872 KB Output is correct
48 Correct 71 ms 8872 KB Output is correct
49 Correct 69 ms 8868 KB Output is correct
50 Correct 130 ms 8876 KB Output is correct
51 Correct 133 ms 8872 KB Output is correct
52 Correct 69 ms 8872 KB Output is correct
53 Correct 68 ms 8872 KB Output is correct
54 Correct 129 ms 8872 KB Output is correct
55 Correct 924 ms 35228 KB Output is correct
56 Correct 1145 ms 45772 KB Output is correct
57 Correct 1469 ms 45652 KB Output is correct
58 Correct 681 ms 45844 KB Output is correct
59 Correct 819 ms 45748 KB Output is correct
60 Correct 796 ms 45764 KB Output is correct
61 Correct 786 ms 45844 KB Output is correct
62 Correct 1556 ms 45752 KB Output is correct
63 Correct 1585 ms 45768 KB Output is correct
64 Correct 810 ms 45588 KB Output is correct
65 Correct 827 ms 45844 KB Output is correct
66 Correct 1560 ms 45748 KB Output is correct
67 Correct 825 ms 45752 KB Output is correct