oj.uz

Submission #925114

# Submission time Handle Problem Language Result Execution time Memory
925114 2024-02-10T19:17:42 Z ttamx Chorus (JOI23_chorus) C++14
100 / 100
 1630 ms 45808 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);
    deque<int> dq;
    for(int i=1;i<=n;i++){
        while(!dq.empty()&&b[dq.front()]<i){
            int j=dq.front();
            dq.pop_front();
            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];
        if(!dq.empty())dp[i]=min(dp[i],dp[dq.front()]);
        dp[i].first+=lambda;
        dp[i].second++;
        dq.emplace_back(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++;
        }
    }
    for(int i=1,p=1;i<=n;i++){
        while(p<=n&&a[p]<i)p++;
        b[i]=max(i,p-1);
    }
    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 4440 KB Output is correct
4 Correct 1 ms 4440 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 4444 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 4440 KB Output is correct
4 Correct 1 ms 4440 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 4444 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 4440 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 1 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4596 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 4440 KB Output is correct
4 Correct 1 ms 4440 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 4444 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 4440 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 1 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4596 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 4696 KB Output is correct
30 Correct 6 ms 4700 KB Output is correct
31 Correct 5 ms 4952 KB Output is correct
32 Correct 3 ms 4696 KB Output is correct
33 Correct 3 ms 4700 KB Output is correct
34 Correct 3 ms 4696 KB Output is correct
35 Correct 3 ms 4772 KB Output is correct
36 Correct 6 ms 4700 KB Output is correct
37 Correct 6 ms 4688 KB Output is correct
38 Correct 3 ms 4700 KB Output is correct
39 Correct 5 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 4440 KB Output is correct
4 Correct 1 ms 4440 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 4444 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 4440 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 1 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4596 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 4696 KB Output is correct
30 Correct 6 ms 4700 KB Output is correct
31 Correct 5 ms 4952 KB Output is correct
32 Correct 3 ms 4696 KB Output is correct
33 Correct 3 ms 4700 KB Output is correct
34 Correct 3 ms 4696 KB Output is correct
35 Correct 3 ms 4772 KB Output is correct
36 Correct 6 ms 4700 KB Output is correct
37 Correct 6 ms 4688 KB Output is correct
38 Correct 3 ms 4700 KB Output is correct
39 Correct 5 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 80 ms 8100 KB Output is correct
44 Correct 128 ms 8872 KB Output is correct
45 Correct 131 ms 8904 KB Output is correct
46 Correct 59 ms 8960 KB Output is correct
47 Correct 63 ms 8868 KB Output is correct
48 Correct 71 ms 8868 KB Output is correct
49 Correct 68 ms 8868 KB Output is correct
50 Correct 132 ms 8948 KB Output is correct
51 Correct 137 ms 8872 KB Output is correct
52 Correct 71 ms 8868 KB Output is correct
53 Correct 69 ms 8872 KB Output is correct
54 Correct 145 ms 8960 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 4440 KB Output is correct
4 Correct 1 ms 4440 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 4444 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 4440 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 1 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4596 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 4696 KB Output is correct
30 Correct 6 ms 4700 KB Output is correct
31 Correct 5 ms 4952 KB Output is correct
32 Correct 3 ms 4696 KB Output is correct
33 Correct 3 ms 4700 KB Output is correct
34 Correct 3 ms 4696 KB Output is correct
35 Correct 3 ms 4772 KB Output is correct
36 Correct 6 ms 4700 KB Output is correct
37 Correct 6 ms 4688 KB Output is correct
38 Correct 3 ms 4700 KB Output is correct
39 Correct 5 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 80 ms 8100 KB Output is correct
44 Correct 128 ms 8872 KB Output is correct
45 Correct 131 ms 8904 KB Output is correct
46 Correct 59 ms 8960 KB Output is correct
47 Correct 63 ms 8868 KB Output is correct
48 Correct 71 ms 8868 KB Output is correct
49 Correct 68 ms 8868 KB Output is correct
50 Correct 132 ms 8948 KB Output is correct
51 Correct 137 ms 8872 KB Output is correct
52 Correct 71 ms 8868 KB Output is correct
53 Correct 69 ms 8872 KB Output is correct
54 Correct 145 ms 8960 KB Output is correct
55 Correct 970 ms 35228 KB Output is correct
56 Correct 1187 ms 45728 KB Output is correct
57 Correct 1562 ms 45652 KB Output is correct
58 Correct 679 ms 45808 KB Output is correct
59 Correct 783 ms 45736 KB Output is correct
60 Correct 811 ms 45764 KB Output is correct
61 Correct 808 ms 45732 KB Output is correct
62 Correct 1610 ms 45708 KB Output is correct
63 Correct 1630 ms 45648 KB Output is correct
64 Correct 810 ms 45764 KB Output is correct
65 Correct 844 ms 45720 KB Output is correct
66 Correct 1603 ms 45656 KB Output is correct
67 Correct 811 ms 45760 KB Output is correct