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Submission #994795

# Submission time Handle Problem Language Result Execution time Memory
994795 2024-06-08T05:54:08 Z 12345678 Chorus (JOI23_chorus) C++17
100 / 100
 1839 ms 55668 KB 
#include <bits/stdc++.h>

using namespace std;

const int nx=1e6+5;

#define ll long long

ll n, k, h[nx], p[nx], qs[nx], r=0, c=1, idx=1;
pair<ll, ll> dp[nx];
string s;

struct line
{
    ll m, c, cnt;
    line(ll m=0, ll c=0, ll cnt=0): m(m), c(c), cnt(cnt){}
    ll val(ll x) {return m*x+c;}
};

struct convexhulltrick
{
    deque<line> dq;
    ll bad(line a, line b, line c)
    {
        return (a.c-c.c)*(b.m-a.m)<(a.c-b.c)*(c.m-a.m);
    }
    void add(line x)
    {
        while (dq.size()>=2&&bad(dq[dq.size()-2], dq.back(), x)) dq.pop_back();
        dq.push_back(x);
    }
    line query(ll x)
    {
        while (dq.size()>=2&&dq[0].val(x)>dq[1].val(x)) dq.pop_front();
        return dq[0];
    }
} d;

pair<ll, ll> solve(ll lambda)
{
    idx=1;
    d.dq.clear();
    for (int i=1; i<=n; i++)
    {
        while (idx<=p[i]&&idx<=i) d.add(line(-idx, qs[idx-1]+dp[idx-1].first, dp[idx-1].second)), idx++;
        dp[i]={d.query(i).val(i)+i*p[i]-qs[p[i]-1]+lambda, d.query(i).cnt+1};
    }
    return dp[n];
}

int main()
{
    cin.tie(NULL)->sync_with_stdio(false);
    cin>>n>>k>>s;
    for (int i=0; i<2*n; i++)
    {
        if (s[i]=='A') r++, h[c]=r;
        if (s[i]=='B') c++, h[c]=r;
    }
    for (int i=1; i<=n; i++)
    {
        qs[i]=qs[i-1]+h[i];
        while (idx<=i&&h[idx]<i) idx++;
        p[i]=idx;
    }
    /*
    cout<<"debug "<<1<<'\n';
    solve(1);
    for (int i=1; i<=n; i++) cout<<i<<' '<<dp[i].first<<' '<<dp[i].second<<'\n';
    for (auto x:d.dq) cout<<"dq "<<x.m<<' '<<x.c<<' '<<x.cnt<<'\n';*/
    ll l=0, r=1e12;
    while (l<r)
    {
        ll md=(l+r)/2;
        if (solve(md).second<=k) r=md;
        else l=md+1;
    }
    cout<<solve(l).first-k*l;
}

/*
(a.c-c.c)/(c.m-a.m)<(a.c-b.c)/(b.m-a.m)
*/

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 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 4568 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 0 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 4440 KB Output is correct
13 Correct 1 ms 4560 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4440 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 4440 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 4568 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 0 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 4440 KB Output is correct
13 Correct 1 ms 4560 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4440 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 4440 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 4696 KB Output is correct
22 Correct 1 ms 4444 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 1 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 4440 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 4568 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 0 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 4440 KB Output is correct
13 Correct 1 ms 4560 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4440 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 4440 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 4696 KB Output is correct
22 Correct 1 ms 4444 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 1 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 7 ms 4696 KB Output is correct
30 Correct 8 ms 4700 KB Output is correct
31 Correct 8 ms 4700 KB Output is correct
32 Correct 5 ms 4700 KB Output is correct
33 Correct 5 ms 4700 KB Output is correct
34 Correct 5 ms 4700 KB Output is correct
35 Correct 5 ms 4700 KB Output is correct
36 Correct 8 ms 4696 KB Output is correct
37 Correct 8 ms 4700 KB Output is correct
38 Correct 5 ms 4700 KB Output is correct
39 Correct 7 ms 4700 KB Output is correct
40 Correct 5 ms 4700 KB Output is correct
41 Correct 6 ms 4728 KB Output is correct
42 Correct 4 ms 4728 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 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 4568 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 0 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 4440 KB Output is correct
13 Correct 1 ms 4560 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4440 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 4440 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 4696 KB Output is correct
22 Correct 1 ms 4444 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 1 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 7 ms 4696 KB Output is correct
30 Correct 8 ms 4700 KB Output is correct
31 Correct 8 ms 4700 KB Output is correct
32 Correct 5 ms 4700 KB Output is correct
33 Correct 5 ms 4700 KB Output is correct
34 Correct 5 ms 4700 KB Output is correct
35 Correct 5 ms 4700 KB Output is correct
36 Correct 8 ms 4696 KB Output is correct
37 Correct 8 ms 4700 KB Output is correct
38 Correct 5 ms 4700 KB Output is correct
39 Correct 7 ms 4700 KB Output is correct
40 Correct 5 ms 4700 KB Output is correct
41 Correct 6 ms 4728 KB Output is correct
42 Correct 4 ms 4728 KB Output is correct
43 Correct 90 ms 8068 KB Output is correct
44 Correct 152 ms 8936 KB Output is correct
45 Correct 152 ms 8920 KB Output is correct
46 Correct 90 ms 9180 KB Output is correct
47 Correct 96 ms 9000 KB Output is correct
48 Correct 103 ms 9000 KB Output is correct
49 Correct 118 ms 8936 KB Output is correct
50 Correct 164 ms 8928 KB Output is correct
51 Correct 180 ms 8924 KB Output is correct
52 Correct 104 ms 8996 KB Output is correct
53 Correct 100 ms 9180 KB Output is correct
54 Correct 159 ms 8936 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 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 4568 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 0 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 4440 KB Output is correct
13 Correct 1 ms 4560 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4440 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 4440 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 4696 KB Output is correct
22 Correct 1 ms 4444 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 1 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 7 ms 4696 KB Output is correct
30 Correct 8 ms 4700 KB Output is correct
31 Correct 8 ms 4700 KB Output is correct
32 Correct 5 ms 4700 KB Output is correct
33 Correct 5 ms 4700 KB Output is correct
34 Correct 5 ms 4700 KB Output is correct
35 Correct 5 ms 4700 KB Output is correct
36 Correct 8 ms 4696 KB Output is correct
37 Correct 8 ms 4700 KB Output is correct
38 Correct 5 ms 4700 KB Output is correct
39 Correct 7 ms 4700 KB Output is correct
40 Correct 5 ms 4700 KB Output is correct
41 Correct 6 ms 4728 KB Output is correct
42 Correct 4 ms 4728 KB Output is correct
43 Correct 90 ms 8068 KB Output is correct
44 Correct 152 ms 8936 KB Output is correct
45 Correct 152 ms 8920 KB Output is correct
46 Correct 90 ms 9180 KB Output is correct
47 Correct 96 ms 9000 KB Output is correct
48 Correct 103 ms 9000 KB Output is correct
49 Correct 118 ms 8936 KB Output is correct
50 Correct 164 ms 8928 KB Output is correct
51 Correct 180 ms 8924 KB Output is correct
52 Correct 104 ms 8996 KB Output is correct
53 Correct 100 ms 9180 KB Output is correct
54 Correct 159 ms 8936 KB Output is correct
55 Correct 1042 ms 39872 KB Output is correct
56 Correct 1336 ms 55392 KB Output is correct
57 Correct 1627 ms 55540 KB Output is correct
58 Correct 909 ms 55668 KB Output is correct
59 Correct 993 ms 55620 KB Output is correct
60 Correct 1062 ms 55540 KB Output is correct
61 Correct 1148 ms 55540 KB Output is correct
62 Correct 1745 ms 55544 KB Output is correct
63 Correct 1839 ms 55532 KB Output is correct
64 Correct 1078 ms 55400 KB Output is correct
65 Correct 1062 ms 55528 KB Output is correct
66 Correct 1743 ms 55544 KB Output is correct
67 Correct 1060 ms 55540 KB Output is correct