Submission #1031445

# Submission time Handle Problem Language Result Execution time Memory
1031445 2024-07-22T20:48:09 Z Unforgettablepl Chorus (JOI23_chorus) C++17
40 / 100
7000 ms 600 KB
#pragma GCC optimize("Ofast","unroll-loops")
#include <bits/stdc++.h>
using namespace std;
 
#define int long long
 
const int INF = 1e18;
 
struct fenwick{
	vector<int> tree;
	int n;
	fenwick(int n):n(n),tree(n+1){}
	void add(int k,int x){
		while(k<=n){
			tree[k]+=x;
			k+=k&-k;
		}
	}
	void reset(){
		fill(tree.begin(),tree.end(),0ll);
	}
	int get(int k){
		int ans = 0;
		while(k){
			ans+=tree[k];
			k-=k&-k;
		}
		return ans;
	}
};
 
int32_t main(){
	ios_base::sync_with_stdio(false);
	cin.tie(nullptr);
	int n,k;
	cin >> n >> k;
	string s;
	cin >> s;
	s.insert(s.begin(),'$');
	vector<int> posA(n+1);
	vector<int> posB(n+1);
	int cntA = 0,cntB = 0;
	for(int i=1;i<=2*n;i++){
		if(s[i]=='A'){
			posA[++cntA]=i;
		} else {
			posB[++cntB]=i;
		}
	}
	fenwick addedA(2*n);
	fenwick addedB(2*n);
	vector<pair<int,int>> DP1(n+1);
	vector<pair<int,int>> DP2(n+1);
	auto solve = [&](int penalty){
		fill(DP1.begin()+1,DP1.end(),make_pair(INF,-INF));
		fill(DP2.begin()+1,DP2.end(),make_pair(INF,-INF));
		for(int i=1;i<=n;i++){
			int ans = penalty;
			addedA.reset();
			addedB.reset();
			for(int j=i+1;j<=n;j++)addedB.add(posB[j],1);
			for(int j=i;j;j--){
				ans+=i-j-addedA.get(posB[j]);
				addedB.add(posB[j],1);
				ans+=addedB.get(posA[j]);
				addedA.add(posA[j],1);
				DP1[i]=min(DP1[i],{DP1[j-1].first+ans,DP1[j-1].second-1});
				DP2[i]=min(DP2[i],{DP2[j-1].first+ans,DP2[j-1].second+1});
			}
		}
		DP1[n].second*=-1ll;
		auto mini = DP2[n];
		auto maxi = DP1[n];
		if(mini.second>k)return mini;
		if(maxi.second<=k)return maxi;
		return make_pair(mini.first,k);
	};
	int best_penalty = -1;
	for(int jump=(1ll<<40);jump;jump/=2ll){
		if(solve(best_penalty+jump).second>k)best_penalty+=jump;
	}
	// for(int i=0;i<=10;i++)cout<<solve(i).second<<'\n';
	best_penalty++;
	cout << solve(best_penalty).first-solve(best_penalty).second*best_penalty << '\n';
}

Compilation message

chorus.cpp: In constructor 'fenwick::fenwick(long long int)':
chorus.cpp:11:6: warning: 'fenwick::n' will be initialized after [-Wreorder]
   11 |  int n;
      |      ^
chorus.cpp:10:14: warning:   'std::vector<long long int> fenwick::tree' [-Wreorder]
   10 |  vector<int> tree;
      |              ^~~~
chorus.cpp:12:2: warning:   when initialized here [-Wreorder]
   12 |  fenwick(int n):n(n),tree(n+1){}
      |  ^~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 13 ms 468 KB Output is correct
18 Correct 106 ms 348 KB Output is correct
19 Correct 105 ms 468 KB Output is correct
20 Correct 108 ms 348 KB Output is correct
21 Correct 108 ms 348 KB Output is correct
22 Correct 109 ms 348 KB Output is correct
23 Correct 111 ms 344 KB Output is correct
24 Correct 106 ms 468 KB Output is correct
25 Correct 102 ms 468 KB Output is correct
26 Correct 96 ms 344 KB Output is correct
27 Correct 100 ms 468 KB Output is correct
28 Correct 102 ms 344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 13 ms 468 KB Output is correct
18 Correct 106 ms 348 KB Output is correct
19 Correct 105 ms 468 KB Output is correct
20 Correct 108 ms 348 KB Output is correct
21 Correct 108 ms 348 KB Output is correct
22 Correct 109 ms 348 KB Output is correct
23 Correct 111 ms 344 KB Output is correct
24 Correct 106 ms 468 KB Output is correct
25 Correct 102 ms 468 KB Output is correct
26 Correct 96 ms 344 KB Output is correct
27 Correct 100 ms 468 KB Output is correct
28 Correct 102 ms 344 KB Output is correct
29 Execution timed out 7036 ms 600 KB Time limit exceeded
30 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 13 ms 468 KB Output is correct
18 Correct 106 ms 348 KB Output is correct
19 Correct 105 ms 468 KB Output is correct
20 Correct 108 ms 348 KB Output is correct
21 Correct 108 ms 348 KB Output is correct
22 Correct 109 ms 348 KB Output is correct
23 Correct 111 ms 344 KB Output is correct
24 Correct 106 ms 468 KB Output is correct
25 Correct 102 ms 468 KB Output is correct
26 Correct 96 ms 344 KB Output is correct
27 Correct 100 ms 468 KB Output is correct
28 Correct 102 ms 344 KB Output is correct
29 Execution timed out 7036 ms 600 KB Time limit exceeded
30 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 13 ms 468 KB Output is correct
18 Correct 106 ms 348 KB Output is correct
19 Correct 105 ms 468 KB Output is correct
20 Correct 108 ms 348 KB Output is correct
21 Correct 108 ms 348 KB Output is correct
22 Correct 109 ms 348 KB Output is correct
23 Correct 111 ms 344 KB Output is correct
24 Correct 106 ms 468 KB Output is correct
25 Correct 102 ms 468 KB Output is correct
26 Correct 96 ms 344 KB Output is correct
27 Correct 100 ms 468 KB Output is correct
28 Correct 102 ms 344 KB Output is correct
29 Execution timed out 7036 ms 600 KB Time limit exceeded
30 Halted 0 ms 0 KB -