oj.uz

Submission #925113

# Submission time Handle Problem Language Result Execution time Memory
925113 2024-02-10T19:17:12 Z ttamx Chorus (JOI23_chorus) C++14
100 / 100
 1625 ms 48068 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 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 4440 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4696 KB Output is correct
9 Correct 1 ms 4440 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 4452 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 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 4440 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4696 KB Output is correct
9 Correct 1 ms 4440 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 4452 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 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 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 4560 KB Output is correct
27 Correct 1 ms 4560 KB Output is correct
28 Correct 1 ms 4440 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 4440 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4696 KB Output is correct
9 Correct 1 ms 4440 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 4452 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 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 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 4560 KB Output is correct
27 Correct 1 ms 4560 KB Output is correct
28 Correct 1 ms 4440 KB Output is correct
29 Correct 4 ms 4696 KB Output is correct
30 Correct 6 ms 4768 KB Output is correct
31 Correct 6 ms 4700 KB Output is correct
32 Correct 3 ms 4700 KB Output is correct
33 Correct 3 ms 4852 KB Output is correct
34 Correct 3 ms 4604 KB Output is correct
35 Correct 5 ms 4700 KB Output is correct
36 Correct 6 ms 4576 KB Output is correct
37 Correct 7 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 4440 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4696 KB Output is correct
9 Correct 1 ms 4440 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 4452 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 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 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 4560 KB Output is correct
27 Correct 1 ms 4560 KB Output is correct
28 Correct 1 ms 4440 KB Output is correct
29 Correct 4 ms 4696 KB Output is correct
30 Correct 6 ms 4768 KB Output is correct
31 Correct 6 ms 4700 KB Output is correct
32 Correct 3 ms 4700 KB Output is correct
33 Correct 3 ms 4852 KB Output is correct
34 Correct 3 ms 4604 KB Output is correct
35 Correct 5 ms 4700 KB Output is correct
36 Correct 6 ms 4576 KB Output is correct
37 Correct 7 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 75 ms 7944 KB Output is correct
44 Correct 131 ms 8928 KB Output is correct
45 Correct 136 ms 8696 KB Output is correct
46 Correct 60 ms 9216 KB Output is correct
47 Correct 63 ms 9128 KB Output is correct
48 Correct 69 ms 9424 KB Output is correct
49 Correct 69 ms 9124 KB Output is correct
50 Correct 145 ms 8792 KB Output is correct
51 Correct 134 ms 8792 KB Output is correct
52 Correct 69 ms 9128 KB Output is correct
53 Correct 82 ms 9128 KB Output is correct
54 Correct 131 ms 8764 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 4440 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4696 KB Output is correct
9 Correct 1 ms 4440 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 4452 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 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 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 4560 KB Output is correct
27 Correct 1 ms 4560 KB Output is correct
28 Correct 1 ms 4440 KB Output is correct
29 Correct 4 ms 4696 KB Output is correct
30 Correct 6 ms 4768 KB Output is correct
31 Correct 6 ms 4700 KB Output is correct
32 Correct 3 ms 4700 KB Output is correct
33 Correct 3 ms 4852 KB Output is correct
34 Correct 3 ms 4604 KB Output is correct
35 Correct 5 ms 4700 KB Output is correct
36 Correct 6 ms 4576 KB Output is correct
37 Correct 7 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 75 ms 7944 KB Output is correct
44 Correct 131 ms 8928 KB Output is correct
45 Correct 136 ms 8696 KB Output is correct
46 Correct 60 ms 9216 KB Output is correct
47 Correct 63 ms 9128 KB Output is correct
48 Correct 69 ms 9424 KB Output is correct
49 Correct 69 ms 9124 KB Output is correct
50 Correct 145 ms 8792 KB Output is correct
51 Correct 134 ms 8792 KB Output is correct
52 Correct 69 ms 9128 KB Output is correct
53 Correct 82 ms 9128 KB Output is correct
54 Correct 131 ms 8764 KB Output is correct
55 Correct 956 ms 34568 KB Output is correct
56 Correct 1172 ms 45568 KB Output is correct
57 Correct 1507 ms 44820 KB Output is correct
58 Correct 681 ms 47620 KB Output is correct
59 Correct 860 ms 47608 KB Output is correct
60 Correct 847 ms 48068 KB Output is correct
61 Correct 846 ms 47624 KB Output is correct
62 Correct 1625 ms 44720 KB Output is correct
63 Correct 1618 ms 44708 KB Output is correct
64 Correct 870 ms 47680 KB Output is correct
65 Correct 889 ms 47816 KB Output is correct
66 Correct 1574 ms 45192 KB Output is correct
67 Correct 810 ms 47660 KB Output is correct