oj.uz

답안 #835320

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
835320 2023-08-23T12:58:01 Z alvingogo Chorus (JOI23_chorus) C++14
100 / 100
 1719 ms 63576 KB 
#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
#define AquA cin.tie(0);ios_base::sync_with_stdio(0);
#define fs first
#define sc second
#define p_q priority_queue
#define int long long
using namespace std;
 
vector<int> a,b,pre,lx;
int n;
typedef pair<int,int> pii;
bool check(pii a,pii b,pii c){
    return (b.sc-a.sc)*(b.fs-c.fs)>(c.sc-b.sc)*(a.fs-b.fs);
}
bool check2(pii a,pii b,int c){
    return a.fs*c+a.sc>b.fs*c+b.sc;
}
pii get(int p){
    vector<pii> dp(n+1,{1e18,1e18});
    //dp[i] = min(dp[j]+pre[i]+(cost)-b[j+1]*i);
    // -2 1 3 4 5 8 11 
    // -1 2 6 7 9 10 12
    // 6 -> 1 = dp[1]+pre_a[6]+(6-1+6-3+6-4+6-5)-6*6 = 2+5 = 7+dp[1]
    // 4 -> 1: because 5 < 6, so the cost is 0
    // when 1 is available, lx[1] = 4 and update with 4*6-pre[4];
    // s dec, qu inc;
    //
    dp[0]={0,0};
    deque<pii> li;
    deque<int> dz;
    int f=1;
    for(int i=1;i<=n;i++){
        while(f<i && lx[f]<i){
            pii ad(-2*b[f]+2*lx[f]+1,2*(dp[f-1].fs+(i-1)*b[f]-pre[i-1])-lx[f]*lx[f]-lx[f]);
            while(li.size()>=2 && check(li[li.size()-2],li.back(),ad)){
                li.pop_back();
                dz.pop_back();
            }
            li.push_back(ad);
            dz.push_back(f-1);
            f++;
        }
        while(li.size()>=2 && check2(li[0],li[1],i)){
            li.pop_front();
            dz.pop_front();
        }
        if(li.size()){
            dp[i].fs=(li[0].fs*i+li[0].sc+2*pre[i]+2*p-i*i)/2;
            dp[i].sc=dp[dz[0]].sc+1;
        }
        else{
            dp[i]={p,1};
        }
        dp[i]=min(dp[i],pii(dp[f-1].fs+p,dp[f-1].sc+1));
    }   
    return dp[n];
}
signed main(){
    AquA;
    int k;
    cin >> n >> k;
    string s;
    cin >> s;
    int ans=0,cnt=0,cs=0,tmp=0;
    a.push_back(-2);
    b.push_back(-1);
    for(int i=0;i<2*n;i++){
        if(s[i]=='A'){
            cnt++;
            a.push_back(cs);
            ans+=i-cs;
            cs++;
            if(tmp>0){
                tmp--;
                b.push_back(cs);
                cnt--;
                cs++;
            }
        }
        else{
            if(cnt==0){
                tmp++;
            }
            else{
                cnt--;
                b.push_back(cs);
                cs++;
            }
        }
    }
    pre=a;
    lx.resize(n+2);
    a.push_back(998244353);
    b.push_back(998244354);
    for(int i=1;i<=n;i++){
        lx[i]=lx[i-1];
        while(lx[i]+1<a.size() && a[lx[i]+1]<=b[i]){
            lx[i]++;
        }
    }
    for(int i=2;i<=n;i++){
        pre[i]+=pre[i-1];
    }
    int l=0,r=1e13;
    while(r>l){
        int m=(l+r)/2;
        auto u=get(m);
        if(u.sc<=k){
            r=m;
        }
        else{
            l=m+1;
        }
    }
    auto z=get(l);
    cout << ans+(z.fs-k*l) << "\n";
    return 0;
}

Compilation message

chorus.cpp: In function 'int main()':
chorus.cpp:98:22: warning: comparison of integer expressions of different signedness: '__gnu_cxx::__alloc_traits<std::allocator<long long int>, long long int>::value_type' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   98 |         while(lx[i]+1<a.size() && a[lx[i]+1]<=b[i]){

Subtask #1
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct

Subtask #2
24.0 / 24.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 316 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 356 KB Output is correct
24 Correct 1 ms 320 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 316 KB Output is correct
28 Correct 1 ms 340 KB Output is correct

Subtask #3
21.0 / 21.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 316 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 356 KB Output is correct
24 Correct 1 ms 320 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 316 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 5 ms 596 KB Output is correct
30 Correct 7 ms 580 KB Output is correct
31 Correct 8 ms 660 KB Output is correct
32 Correct 5 ms 712 KB Output is correct
33 Correct 5 ms 588 KB Output is correct
34 Correct 6 ms 668 KB Output is correct
35 Correct 5 ms 596 KB Output is correct
36 Correct 8 ms 596 KB Output is correct
37 Correct 8 ms 584 KB Output is correct
38 Correct 4 ms 584 KB Output is correct
39 Correct 6 ms 596 KB Output is correct
40 Correct 5 ms 596 KB Output is correct
41 Correct 5 ms 660 KB Output is correct
42 Correct 5 ms 596 KB Output is correct

Subtask #4
26.0 / 26.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 316 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 356 KB Output is correct
24 Correct 1 ms 320 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 316 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 5 ms 596 KB Output is correct
30 Correct 7 ms 580 KB Output is correct
31 Correct 8 ms 660 KB Output is correct
32 Correct 5 ms 712 KB Output is correct
33 Correct 5 ms 588 KB Output is correct
34 Correct 6 ms 668 KB Output is correct
35 Correct 5 ms 596 KB Output is correct
36 Correct 8 ms 596 KB Output is correct
37 Correct 8 ms 584 KB Output is correct
38 Correct 4 ms 584 KB Output is correct
39 Correct 6 ms 596 KB Output is correct
40 Correct 5 ms 596 KB Output is correct
41 Correct 5 ms 660 KB Output is correct
42 Correct 5 ms 596 KB Output is correct
43 Correct 88 ms 3912 KB Output is correct
44 Correct 153 ms 6564 KB Output is correct
45 Correct 170 ms 6640 KB Output is correct
46 Correct 79 ms 6612 KB Output is correct
47 Correct 84 ms 6696 KB Output is correct
48 Correct 88 ms 6648 KB Output is correct
49 Correct 87 ms 6648 KB Output is correct
50 Correct 155 ms 6652 KB Output is correct
51 Correct 162 ms 6588 KB Output is correct
52 Correct 89 ms 6568 KB Output is correct
53 Correct 89 ms 6648 KB Output is correct
54 Correct 162 ms 6656 KB Output is correct

Subtask #5
13.0 / 13.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 316 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 356 KB Output is correct
24 Correct 1 ms 320 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 316 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 5 ms 596 KB Output is correct
30 Correct 7 ms 580 KB Output is correct
31 Correct 8 ms 660 KB Output is correct
32 Correct 5 ms 712 KB Output is correct
33 Correct 5 ms 588 KB Output is correct
34 Correct 6 ms 668 KB Output is correct
35 Correct 5 ms 596 KB Output is correct
36 Correct 8 ms 596 KB Output is correct
37 Correct 8 ms 584 KB Output is correct
38 Correct 4 ms 584 KB Output is correct
39 Correct 6 ms 596 KB Output is correct
40 Correct 5 ms 596 KB Output is correct
41 Correct 5 ms 660 KB Output is correct
42 Correct 5 ms 596 KB Output is correct
43 Correct 88 ms 3912 KB Output is correct
44 Correct 153 ms 6564 KB Output is correct
45 Correct 170 ms 6640 KB Output is correct
46 Correct 79 ms 6612 KB Output is correct
47 Correct 84 ms 6696 KB Output is correct
48 Correct 88 ms 6648 KB Output is correct
49 Correct 87 ms 6648 KB Output is correct
50 Correct 155 ms 6652 KB Output is correct
51 Correct 162 ms 6588 KB Output is correct
52 Correct 89 ms 6568 KB Output is correct
53 Correct 89 ms 6648 KB Output is correct
54 Correct 162 ms 6656 KB Output is correct
55 Correct 1041 ms 39828 KB Output is correct
56 Correct 1294 ms 62216 KB Output is correct
57 Correct 1622 ms 62248 KB Output is correct
58 Correct 846 ms 63576 KB Output is correct
59 Correct 887 ms 62212 KB Output is correct
60 Correct 957 ms 62220 KB Output is correct
61 Correct 969 ms 62220 KB Output is correct
62 Correct 1658 ms 62204 KB Output is correct
63 Correct 1719 ms 62216 KB Output is correct
64 Correct 941 ms 62132 KB Output is correct
65 Correct 944 ms 62216 KB Output is correct
66 Correct 1706 ms 62212 KB Output is correct
67 Correct 925 ms 62224 KB Output is correct