Submission #935168

# Submission time Handle Problem Language Result Execution time Memory
935168 2024-02-28T18:25:40 Z kim Chorus (JOI23_chorus) C++17
61 / 100
7000 ms 15448 KB
#include<bits/stdc++.h>
using namespace std;
using ll=long long;
using pii=pair<int,int>;
#define f first
#define s second
#define eb emplace_back

const ll inf=1e18;

int a[1000005],b[1000005],pos[1000005],pos2[1000005];
ll dp2[2][1000005],qs[1000005];

ll f(int L,int R){
    int x=pos2[L];
    if(x>R) return 0;
    return qs[R]-qs[x-1]-L*(R-x+1);
}

void play2(int n,bool z){
    for(int i=1;i<=n;++i){
        dp2[z][i]=inf;
        for(int j=0;j<i;++j){
            if(pos2[j+1]>i){
                dp2[z][i]=min(dp2[z][i],dp2[!z][j]);
                break;
            }
            dp2[z][i]=min(dp2[z][i],-j*i+dp2[!z][j]-qs[pos2[j+1]-1]+1LL*pos2[j+1]*(j+1)-j+qs[i]-i-1);
        }
    }
}
struct line{
    ll m,c;
    line(ll m,ll c):m(m),c(c){}
    ll operator()(const ll x)const{return m*x+c;}
};
struct cht{
    deque<line> dq;
    bool check(line a,line b,line c){
        return (a.c-b.c)*(c.m-a.m)>=(a.c-c.c)*(b.m-a.m);
    }
    void insert(ll m,ll c){
        line f(m,c);
        while(dq.size()>1&&check(dq.end()[-2],dq.back(),f)) dq.pop_back();
        dq.eb(f);
    }
    ll qr(ll x){
        if(dq.empty()) return inf;
        while(dq.size()>1&&dq[1](x)<dq.front()(x)) dq.pop_front();
        return dq.front()(x);
    }
    void clear(){dq.clear();}
}dp;
void play(int n,bool z){
    dp.clear();
    int cur=0;
    for(int i=1;i<=n;++i){
        while(cur<i&&pos2[cur+1]<=i){
            dp.insert(-cur,dp2[!z][cur]-qs[pos2[cur+1]-1]+1LL*pos2[cur+1]*(cur+1)-cur);
            ++cur;
        }
        dp2[z][i]=dp.qr(i)+qs[i]-i-1;
        if(cur<i) dp2[z][i]=min(dp2[z][i],dp2[!z][cur]);
    }
}

int main(){
    ios::sync_with_stdio(false); cin.tie(0);

    int n,K; cin>>n>>K;
    string s; cin>>s;
    for(int i=0,ia=0,ib=0;i<s.length();++i){
        if(s[i]=='A') a[++ia]=i;
        else b[++ib]=i;
    }
    for(int i=1,j=1;i<=n;++i){
        while(j<=n&&b[j]<a[i]) ++j;
        pos[i]=j;
        qs[i]=qs[i-1]+j;
    }
    for(int i=1,j=1;i<=n;++i){
        while(j<=n&&pos[j]<=i) ++j;
        j=max(i,j);
        pos2[i]=j;
    }
    for(int i=1;i<=n;++i) dp2[1][i]=qs[i]-i;
    for(int k=2;k<=K;++k){
        // play(1,n,1,n,k&1);
        play(n,k&1);
    }
    cout<<dp2[K&1][n]<<endl;

    return 0;
}

Compilation message

chorus.cpp: In function 'int main()':
chorus.cpp:72:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   72 |     for(int i=0,ia=0,ib=0;i<s.length();++i){
      |                           ~^~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 12632 KB Output is correct
2 Correct 2 ms 12636 KB Output is correct
3 Correct 2 ms 10588 KB Output is correct
4 Correct 2 ms 12636 KB Output is correct
5 Correct 1 ms 10588 KB Output is correct
6 Correct 2 ms 12636 KB Output is correct
7 Correct 2 ms 12636 KB Output is correct
8 Correct 2 ms 12636 KB Output is correct
9 Correct 1 ms 10584 KB Output is correct
10 Correct 2 ms 12636 KB Output is correct
11 Correct 2 ms 12636 KB Output is correct
12 Correct 2 ms 12636 KB Output is correct
13 Correct 2 ms 12636 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
# Verdict Execution time Memory Grader output
1 Correct 2 ms 12632 KB Output is correct
2 Correct 2 ms 12636 KB Output is correct
3 Correct 2 ms 10588 KB Output is correct
4 Correct 2 ms 12636 KB Output is correct
5 Correct 1 ms 10588 KB Output is correct
6 Correct 2 ms 12636 KB Output is correct
7 Correct 2 ms 12636 KB Output is correct
8 Correct 2 ms 12636 KB Output is correct
9 Correct 1 ms 10584 KB Output is correct
10 Correct 2 ms 12636 KB Output is correct
11 Correct 2 ms 12636 KB Output is correct
12 Correct 2 ms 12636 KB Output is correct
13 Correct 2 ms 12636 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 2 ms 12636 KB Output is correct
18 Correct 3 ms 12756 KB Output is correct
19 Correct 4 ms 12632 KB Output is correct
20 Correct 2 ms 10588 KB Output is correct
21 Correct 2 ms 12636 KB Output is correct
22 Correct 5 ms 12636 KB Output is correct
23 Correct 4 ms 12636 KB Output is correct
24 Correct 2 ms 12636 KB Output is correct
25 Correct 5 ms 12772 KB Output is correct
26 Correct 4 ms 12636 KB Output is correct
27 Correct 3 ms 12636 KB Output is correct
28 Correct 3 ms 12632 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 12632 KB Output is correct
2 Correct 2 ms 12636 KB Output is correct
3 Correct 2 ms 10588 KB Output is correct
4 Correct 2 ms 12636 KB Output is correct
5 Correct 1 ms 10588 KB Output is correct
6 Correct 2 ms 12636 KB Output is correct
7 Correct 2 ms 12636 KB Output is correct
8 Correct 2 ms 12636 KB Output is correct
9 Correct 1 ms 10584 KB Output is correct
10 Correct 2 ms 12636 KB Output is correct
11 Correct 2 ms 12636 KB Output is correct
12 Correct 2 ms 12636 KB Output is correct
13 Correct 2 ms 12636 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 2 ms 12636 KB Output is correct
18 Correct 3 ms 12756 KB Output is correct
19 Correct 4 ms 12632 KB Output is correct
20 Correct 2 ms 10588 KB Output is correct
21 Correct 2 ms 12636 KB Output is correct
22 Correct 5 ms 12636 KB Output is correct
23 Correct 4 ms 12636 KB Output is correct
24 Correct 2 ms 12636 KB Output is correct
25 Correct 5 ms 12772 KB Output is correct
26 Correct 4 ms 12636 KB Output is correct
27 Correct 3 ms 12636 KB Output is correct
28 Correct 3 ms 12632 KB Output is correct
29 Correct 129 ms 12636 KB Output is correct
30 Correct 413 ms 12852 KB Output is correct
31 Correct 101 ms 12632 KB Output is correct
32 Correct 1 ms 10588 KB Output is correct
33 Correct 2 ms 12636 KB Output is correct
34 Correct 281 ms 12860 KB Output is correct
35 Correct 298 ms 12888 KB Output is correct
36 Correct 5 ms 12636 KB Output is correct
37 Correct 128 ms 12860 KB Output is correct
38 Correct 240 ms 12860 KB Output is correct
39 Correct 218 ms 12632 KB Output is correct
40 Correct 106 ms 12836 KB Output is correct
41 Correct 105 ms 12636 KB Output is correct
42 Correct 65 ms 12632 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 12632 KB Output is correct
2 Correct 2 ms 12636 KB Output is correct
3 Correct 2 ms 10588 KB Output is correct
4 Correct 2 ms 12636 KB Output is correct
5 Correct 1 ms 10588 KB Output is correct
6 Correct 2 ms 12636 KB Output is correct
7 Correct 2 ms 12636 KB Output is correct
8 Correct 2 ms 12636 KB Output is correct
9 Correct 1 ms 10584 KB Output is correct
10 Correct 2 ms 12636 KB Output is correct
11 Correct 2 ms 12636 KB Output is correct
12 Correct 2 ms 12636 KB Output is correct
13 Correct 2 ms 12636 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 2 ms 12636 KB Output is correct
18 Correct 3 ms 12756 KB Output is correct
19 Correct 4 ms 12632 KB Output is correct
20 Correct 2 ms 10588 KB Output is correct
21 Correct 2 ms 12636 KB Output is correct
22 Correct 5 ms 12636 KB Output is correct
23 Correct 4 ms 12636 KB Output is correct
24 Correct 2 ms 12636 KB Output is correct
25 Correct 5 ms 12772 KB Output is correct
26 Correct 4 ms 12636 KB Output is correct
27 Correct 3 ms 12636 KB Output is correct
28 Correct 3 ms 12632 KB Output is correct
29 Correct 129 ms 12636 KB Output is correct
30 Correct 413 ms 12852 KB Output is correct
31 Correct 101 ms 12632 KB Output is correct
32 Correct 1 ms 10588 KB Output is correct
33 Correct 2 ms 12636 KB Output is correct
34 Correct 281 ms 12860 KB Output is correct
35 Correct 298 ms 12888 KB Output is correct
36 Correct 5 ms 12636 KB Output is correct
37 Correct 128 ms 12860 KB Output is correct
38 Correct 240 ms 12860 KB Output is correct
39 Correct 218 ms 12632 KB Output is correct
40 Correct 106 ms 12836 KB Output is correct
41 Correct 105 ms 12636 KB Output is correct
42 Correct 65 ms 12632 KB Output is correct
43 Execution timed out 7024 ms 15448 KB Time limit exceeded
44 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 2 ms 12632 KB Output is correct
2 Correct 2 ms 12636 KB Output is correct
3 Correct 2 ms 10588 KB Output is correct
4 Correct 2 ms 12636 KB Output is correct
5 Correct 1 ms 10588 KB Output is correct
6 Correct 2 ms 12636 KB Output is correct
7 Correct 2 ms 12636 KB Output is correct
8 Correct 2 ms 12636 KB Output is correct
9 Correct 1 ms 10584 KB Output is correct
10 Correct 2 ms 12636 KB Output is correct
11 Correct 2 ms 12636 KB Output is correct
12 Correct 2 ms 12636 KB Output is correct
13 Correct 2 ms 12636 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 2 ms 12636 KB Output is correct
18 Correct 3 ms 12756 KB Output is correct
19 Correct 4 ms 12632 KB Output is correct
20 Correct 2 ms 10588 KB Output is correct
21 Correct 2 ms 12636 KB Output is correct
22 Correct 5 ms 12636 KB Output is correct
23 Correct 4 ms 12636 KB Output is correct
24 Correct 2 ms 12636 KB Output is correct
25 Correct 5 ms 12772 KB Output is correct
26 Correct 4 ms 12636 KB Output is correct
27 Correct 3 ms 12636 KB Output is correct
28 Correct 3 ms 12632 KB Output is correct
29 Correct 129 ms 12636 KB Output is correct
30 Correct 413 ms 12852 KB Output is correct
31 Correct 101 ms 12632 KB Output is correct
32 Correct 1 ms 10588 KB Output is correct
33 Correct 2 ms 12636 KB Output is correct
34 Correct 281 ms 12860 KB Output is correct
35 Correct 298 ms 12888 KB Output is correct
36 Correct 5 ms 12636 KB Output is correct
37 Correct 128 ms 12860 KB Output is correct
38 Correct 240 ms 12860 KB Output is correct
39 Correct 218 ms 12632 KB Output is correct
40 Correct 106 ms 12836 KB Output is correct
41 Correct 105 ms 12636 KB Output is correct
42 Correct 65 ms 12632 KB Output is correct
43 Execution timed out 7024 ms 15448 KB Time limit exceeded
44 Halted 0 ms 0 KB -