답안 #956658

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
956658	2024-04-02T09:47:41 Z	huutuan	Chorus (JOI23_chorus)	C++14	100 / 100	1807 ms	86792 KB

chorus

#include<bits/stdc++.h>

using namespace std;

#define int long long
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define isz(x) ((int)x.size())
#define sumof(x) accumulate(all(x), 0ll)

struct Line{
   mutable int k, m, p, cnt;
   bool operator<(const Line &a){ return k<a.k; }
   bool operator<(int x){ return p<x; }
};

const int inf=1e18;

struct LineContainer: vector<Line>{
   int id;
   int div(int a, int b){
      return a/b-((a^b)<0 && a%b);
   }
   bool isect(iterator x, iterator y){
      if (y==end()) return x->p=inf, 0;
      if (x->k==y->k) x->p=(x->k>=y->k)?inf:-inf;
      else x->p=div(y->m-x->m, x->k-y->k);
      return x->p>=y->p;
   }
   void add(int k, int m, int cnt){
      auto z=insert(end(), {k, m, 0, cnt}), y=z++, x=y;
      while (isect(y, z)) z=erase(z);
      if (x!=begin() && isect(--x, y)) isect(x, erase(y));
      while ((y=x)!=begin() && (--x)->p>=y->p) isect(x, erase(y));
   }
   LineContainer(){
      id=0;
   }
   pair<int, int> query(int x){
      while ((begin()+id)->operator<(x)) ++id;
      return {(begin()+id)->k*x+(begin()+id)->m, (begin()+id)->cnt};
   }
};

const int N=1e6+10;
int n, k, a[N], pf[N];
pair<int, int> f[N];
string s;

pair<int, int> dp(int penalty){
   LineContainer cht;
   for (int i=1; i<=n; ++i) f[i]={inf, 0};
   f[0]={0, 0};
   cht.add(0, 0, 0);
   for (int i=1, j=0; i<=n; ++i){
      while (j<i && a[j+1]<i) ++j;
      auto tmp=cht.query(i);
      f[i]={max(0ll, -tmp.first+j*i-pf[j])+penalty, tmp.second+1};
      cht.add(i, -f[i].first-pf[i], f[i].second);
   }
   return f[n];
}

void solve(){
   cin >> n >> k >> s;
   for (int i=0, j=1; i<n*2; ++i){
      if (s[i]=='A') ++a[j];
      else a[j+1]=a[j], ++j;
   }
   partial_sum(a, a+n+1, pf);
   dp(0);
   int l=0, r=1e12;
   while (l<=r){
      int mid=(l+r)>>1;
      auto tmp=dp(mid);
      if (tmp.second<=k) r=mid-1;
      else l=mid+1;
   }
   auto ans=dp(l);
   cout << ans.first-l*k;
}

int32_t main(){
   ios_base::sync_with_stdio(false);
   cin.tie(nullptr);
   int ntests=1;
   // cin >> ntests;
   for (int i=1; i<=ntests; ++i) solve();
   return 0;
}

Subtask #1
16.0 / 16.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	2396 KB	Output is correct
2	Correct	1 ms	2396 KB	Output is correct
3	Correct	0 ms	2396 KB	Output is correct
4	Correct	1 ms	2392 KB	Output is correct
5	Correct	1 ms	2392 KB	Output is correct
6	Correct	0 ms	2396 KB	Output is correct
7	Correct	1 ms	2396 KB	Output is correct
8	Correct	1 ms	2396 KB	Output is correct
9	Correct	1 ms	2396 KB	Output is correct
10	Correct	1 ms	2396 KB	Output is correct
11	Correct	1 ms	2396 KB	Output is correct
12	Correct	1 ms	2396 KB	Output is correct
13	Correct	1 ms	2396 KB	Output is correct
14	Correct	1 ms	2396 KB	Output is correct
15	Correct	1 ms	2396 KB	Output is correct
16	Correct	1 ms	2396 KB	Output is correct

Subtask #2
24.0 / 24.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	2396 KB	Output is correct
2	Correct	1 ms	2396 KB	Output is correct
3	Correct	0 ms	2396 KB	Output is correct
4	Correct	1 ms	2392 KB	Output is correct
5	Correct	1 ms	2392 KB	Output is correct
6	Correct	0 ms	2396 KB	Output is correct
7	Correct	1 ms	2396 KB	Output is correct
8	Correct	1 ms	2396 KB	Output is correct
9	Correct	1 ms	2396 KB	Output is correct
10	Correct	1 ms	2396 KB	Output is correct
11	Correct	1 ms	2396 KB	Output is correct
12	Correct	1 ms	2396 KB	Output is correct
13	Correct	1 ms	2396 KB	Output is correct
14	Correct	1 ms	2396 KB	Output is correct
15	Correct	1 ms	2396 KB	Output is correct
16	Correct	1 ms	2396 KB	Output is correct
17	Correct	1 ms	2396 KB	Output is correct
18	Correct	1 ms	2396 KB	Output is correct
19	Correct	1 ms	2396 KB	Output is correct
20	Correct	1 ms	2396 KB	Output is correct
21	Correct	1 ms	2396 KB	Output is correct
22	Correct	1 ms	2396 KB	Output is correct
23	Correct	1 ms	2396 KB	Output is correct
24	Correct	1 ms	2396 KB	Output is correct
25	Correct	1 ms	2396 KB	Output is correct
26	Correct	1 ms	2396 KB	Output is correct
27	Correct	1 ms	2396 KB	Output is correct
28	Correct	1 ms	2648 KB	Output is correct

Subtask #3
21.0 / 21.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	2396 KB	Output is correct
2	Correct	1 ms	2396 KB	Output is correct
3	Correct	0 ms	2396 KB	Output is correct
4	Correct	1 ms	2392 KB	Output is correct
5	Correct	1 ms	2392 KB	Output is correct
6	Correct	0 ms	2396 KB	Output is correct
7	Correct	1 ms	2396 KB	Output is correct
8	Correct	1 ms	2396 KB	Output is correct
9	Correct	1 ms	2396 KB	Output is correct
10	Correct	1 ms	2396 KB	Output is correct
11	Correct	1 ms	2396 KB	Output is correct
12	Correct	1 ms	2396 KB	Output is correct
13	Correct	1 ms	2396 KB	Output is correct
14	Correct	1 ms	2396 KB	Output is correct
15	Correct	1 ms	2396 KB	Output is correct
16	Correct	1 ms	2396 KB	Output is correct
17	Correct	1 ms	2396 KB	Output is correct
18	Correct	1 ms	2396 KB	Output is correct
19	Correct	1 ms	2396 KB	Output is correct
20	Correct	1 ms	2396 KB	Output is correct
21	Correct	1 ms	2396 KB	Output is correct
22	Correct	1 ms	2396 KB	Output is correct
23	Correct	1 ms	2396 KB	Output is correct
24	Correct	1 ms	2396 KB	Output is correct
25	Correct	1 ms	2396 KB	Output is correct
26	Correct	1 ms	2396 KB	Output is correct
27	Correct	1 ms	2396 KB	Output is correct
28	Correct	1 ms	2648 KB	Output is correct
29	Correct	7 ms	2908 KB	Output is correct
30	Correct	8 ms	2868 KB	Output is correct
31	Correct	8 ms	2872 KB	Output is correct
32	Correct	6 ms	2908 KB	Output is correct
33	Correct	7 ms	2908 KB	Output is correct
34	Correct	7 ms	3068 KB	Output is correct
35	Correct	7 ms	3068 KB	Output is correct
36	Correct	8 ms	2768 KB	Output is correct
37	Correct	8 ms	2876 KB	Output is correct
38	Correct	7 ms	3068 KB	Output is correct
39	Correct	8 ms	2908 KB	Output is correct
40	Correct	7 ms	2652 KB	Output is correct
41	Correct	7 ms	2652 KB	Output is correct
42	Correct	7 ms	2652 KB	Output is correct

Subtask #4
26.0 / 26.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	2396 KB	Output is correct
2	Correct	1 ms	2396 KB	Output is correct
3	Correct	0 ms	2396 KB	Output is correct
4	Correct	1 ms	2392 KB	Output is correct
5	Correct	1 ms	2392 KB	Output is correct
6	Correct	0 ms	2396 KB	Output is correct
7	Correct	1 ms	2396 KB	Output is correct
8	Correct	1 ms	2396 KB	Output is correct
9	Correct	1 ms	2396 KB	Output is correct
10	Correct	1 ms	2396 KB	Output is correct
11	Correct	1 ms	2396 KB	Output is correct
12	Correct	1 ms	2396 KB	Output is correct
13	Correct	1 ms	2396 KB	Output is correct
14	Correct	1 ms	2396 KB	Output is correct
15	Correct	1 ms	2396 KB	Output is correct
16	Correct	1 ms	2396 KB	Output is correct
17	Correct	1 ms	2396 KB	Output is correct
18	Correct	1 ms	2396 KB	Output is correct
19	Correct	1 ms	2396 KB	Output is correct
20	Correct	1 ms	2396 KB	Output is correct
21	Correct	1 ms	2396 KB	Output is correct
22	Correct	1 ms	2396 KB	Output is correct
23	Correct	1 ms	2396 KB	Output is correct
24	Correct	1 ms	2396 KB	Output is correct
25	Correct	1 ms	2396 KB	Output is correct
26	Correct	1 ms	2396 KB	Output is correct
27	Correct	1 ms	2396 KB	Output is correct
28	Correct	1 ms	2648 KB	Output is correct
29	Correct	7 ms	2908 KB	Output is correct
30	Correct	8 ms	2868 KB	Output is correct
31	Correct	8 ms	2872 KB	Output is correct
32	Correct	6 ms	2908 KB	Output is correct
33	Correct	7 ms	2908 KB	Output is correct
34	Correct	7 ms	3068 KB	Output is correct
35	Correct	7 ms	3068 KB	Output is correct
36	Correct	8 ms	2768 KB	Output is correct
37	Correct	8 ms	2876 KB	Output is correct
38	Correct	7 ms	3068 KB	Output is correct
39	Correct	8 ms	2908 KB	Output is correct
40	Correct	7 ms	2652 KB	Output is correct
41	Correct	7 ms	2652 KB	Output is correct
42	Correct	7 ms	2652 KB	Output is correct
43	Correct	99 ms	7300 KB	Output is correct
44	Correct	194 ms	9436 KB	Output is correct
45	Correct	177 ms	9352 KB	Output is correct
46	Correct	116 ms	11096 KB	Output is correct
47	Correct	116 ms	10328 KB	Output is correct
48	Correct	155 ms	13608 KB	Output is correct
49	Correct	144 ms	13204 KB	Output is correct
50	Correct	168 ms	10020 KB	Output is correct
51	Correct	176 ms	9232 KB	Output is correct
52	Correct	156 ms	13560 KB	Output is correct
53	Correct	150 ms	13188 KB	Output is correct
54	Correct	179 ms	9412 KB	Output is correct

Subtask #5
13.0 / 13.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	2396 KB	Output is correct
2	Correct	1 ms	2396 KB	Output is correct
3	Correct	0 ms	2396 KB	Output is correct
4	Correct	1 ms	2392 KB	Output is correct
5	Correct	1 ms	2392 KB	Output is correct
6	Correct	0 ms	2396 KB	Output is correct
7	Correct	1 ms	2396 KB	Output is correct
8	Correct	1 ms	2396 KB	Output is correct
9	Correct	1 ms	2396 KB	Output is correct
10	Correct	1 ms	2396 KB	Output is correct
11	Correct	1 ms	2396 KB	Output is correct
12	Correct	1 ms	2396 KB	Output is correct
13	Correct	1 ms	2396 KB	Output is correct
14	Correct	1 ms	2396 KB	Output is correct
15	Correct	1 ms	2396 KB	Output is correct
16	Correct	1 ms	2396 KB	Output is correct
17	Correct	1 ms	2396 KB	Output is correct
18	Correct	1 ms	2396 KB	Output is correct
19	Correct	1 ms	2396 KB	Output is correct
20	Correct	1 ms	2396 KB	Output is correct
21	Correct	1 ms	2396 KB	Output is correct
22	Correct	1 ms	2396 KB	Output is correct
23	Correct	1 ms	2396 KB	Output is correct
24	Correct	1 ms	2396 KB	Output is correct
25	Correct	1 ms	2396 KB	Output is correct
26	Correct	1 ms	2396 KB	Output is correct
27	Correct	1 ms	2396 KB	Output is correct
28	Correct	1 ms	2648 KB	Output is correct
29	Correct	7 ms	2908 KB	Output is correct
30	Correct	8 ms	2868 KB	Output is correct
31	Correct	8 ms	2872 KB	Output is correct
32	Correct	6 ms	2908 KB	Output is correct
33	Correct	7 ms	2908 KB	Output is correct
34	Correct	7 ms	3068 KB	Output is correct
35	Correct	7 ms	3068 KB	Output is correct
36	Correct	8 ms	2768 KB	Output is correct
37	Correct	8 ms	2876 KB	Output is correct
38	Correct	7 ms	3068 KB	Output is correct
39	Correct	8 ms	2908 KB	Output is correct
40	Correct	7 ms	2652 KB	Output is correct
41	Correct	7 ms	2652 KB	Output is correct
42	Correct	7 ms	2652 KB	Output is correct
43	Correct	99 ms	7300 KB	Output is correct
44	Correct	194 ms	9436 KB	Output is correct
45	Correct	177 ms	9352 KB	Output is correct
46	Correct	116 ms	11096 KB	Output is correct
47	Correct	116 ms	10328 KB	Output is correct
48	Correct	155 ms	13608 KB	Output is correct
49	Correct	144 ms	13204 KB	Output is correct
50	Correct	168 ms	10020 KB	Output is correct
51	Correct	176 ms	9232 KB	Output is correct
52	Correct	156 ms	13560 KB	Output is correct
53	Correct	150 ms	13188 KB	Output is correct
54	Correct	179 ms	9412 KB	Output is correct
55	Correct	1100 ms	55592 KB	Output is correct
56	Correct	1675 ms	86792 KB	Output is correct
57	Correct	1807 ms	67756 KB	Output is correct
58	Correct	1368 ms	69852 KB	Output is correct
59	Correct	1534 ms	85784 KB	Output is correct
60	Correct	1479 ms	86576 KB	Output is correct
61	Correct	1452 ms	86044 KB	Output is correct
62	Correct	1790 ms	65700 KB	Output is correct
63	Correct	1796 ms	66096 KB	Output is correct
64	Correct	1495 ms	86644 KB	Output is correct
65	Correct	1499 ms	86656 KB	Output is correct
66	Correct	1771 ms	70712 KB	Output is correct
67	Correct	1478 ms	85084 KB	Output is correct

답안 #956658

Compilation message

Subtask #1 16.0 / 16.0

Subtask #2 24.0 / 24.0

Subtask #3 21.0 / 21.0

Subtask #4 26.0 / 26.0

Subtask #5 13.0 / 13.0

Subtask #1
16.0 / 16.0

Subtask #2
24.0 / 24.0

Subtask #3
21.0 / 21.0

Subtask #4
26.0 / 26.0

Subtask #5
13.0 / 13.0