Submission #956657

# Submission time Handle Problem Language Result Execution time Memory
956657 2024-04-02T09:46:59 Z huutuan Chorus (JOI23_chorus) C++14
61 / 100
147 ms 10892 KB
#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=1e9;
   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;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 0 ms 2648 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 2392 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 2516 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 0 ms 2648 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 2392 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 2516 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 2648 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 2396 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 0 ms 2648 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 2392 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 2516 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 2648 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 2396 KB Output is correct
29 Correct 5 ms 2908 KB Output is correct
30 Correct 6 ms 2868 KB Output is correct
31 Correct 6 ms 2876 KB Output is correct
32 Correct 5 ms 2904 KB Output is correct
33 Correct 7 ms 2908 KB Output is correct
34 Correct 6 ms 3092 KB Output is correct
35 Correct 6 ms 3076 KB Output is correct
36 Correct 6 ms 2652 KB Output is correct
37 Correct 7 ms 2876 KB Output is correct
38 Correct 6 ms 3076 KB Output is correct
39 Correct 6 ms 2908 KB Output is correct
40 Correct 5 ms 2652 KB Output is correct
41 Correct 5 ms 2720 KB Output is correct
42 Correct 5 ms 2652 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 0 ms 2648 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 2392 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 2516 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 2648 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 2396 KB Output is correct
29 Correct 5 ms 2908 KB Output is correct
30 Correct 6 ms 2868 KB Output is correct
31 Correct 6 ms 2876 KB Output is correct
32 Correct 5 ms 2904 KB Output is correct
33 Correct 7 ms 2908 KB Output is correct
34 Correct 6 ms 3092 KB Output is correct
35 Correct 6 ms 3076 KB Output is correct
36 Correct 6 ms 2652 KB Output is correct
37 Correct 7 ms 2876 KB Output is correct
38 Correct 6 ms 3076 KB Output is correct
39 Correct 6 ms 2908 KB Output is correct
40 Correct 5 ms 2652 KB Output is correct
41 Correct 5 ms 2720 KB Output is correct
42 Correct 5 ms 2652 KB Output is correct
43 Correct 82 ms 7364 KB Output is correct
44 Correct 143 ms 9608 KB Output is correct
45 Correct 147 ms 9824 KB Output is correct
46 Incorrect 94 ms 10892 KB Output isn't correct
47 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 0 ms 2648 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 2392 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 2516 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 2648 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 2396 KB Output is correct
29 Correct 5 ms 2908 KB Output is correct
30 Correct 6 ms 2868 KB Output is correct
31 Correct 6 ms 2876 KB Output is correct
32 Correct 5 ms 2904 KB Output is correct
33 Correct 7 ms 2908 KB Output is correct
34 Correct 6 ms 3092 KB Output is correct
35 Correct 6 ms 3076 KB Output is correct
36 Correct 6 ms 2652 KB Output is correct
37 Correct 7 ms 2876 KB Output is correct
38 Correct 6 ms 3076 KB Output is correct
39 Correct 6 ms 2908 KB Output is correct
40 Correct 5 ms 2652 KB Output is correct
41 Correct 5 ms 2720 KB Output is correct
42 Correct 5 ms 2652 KB Output is correct
43 Correct 82 ms 7364 KB Output is correct
44 Correct 143 ms 9608 KB Output is correct
45 Correct 147 ms 9824 KB Output is correct
46 Incorrect 94 ms 10892 KB Output isn't correct
47 Halted 0 ms 0 KB -