Submission #1031435

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1031435	2024-07-22T20:39:20 Z	Unforgettablepl	Chorus (JOI23_chorus)	C++17	40 / 100	7000 ms	604 KB

chorus

#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);
	auto solvemax = [&](int penalty){
		vector<pair<int,int>> DP(n+1,{INF,-INF});
		DP[0]={0,0};
		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);
				DP[i]=min(DP[i],{DP[j-1].first+ans,DP[j-1].second-1});
			}
		}
		DP[n].second*=-1ll;
		return DP[n];
	};
	auto solvemin = [&](int penalty){
		vector<pair<int,int>> DP(n+1,{INF,-INF});
		DP[0]={0,0};
		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);
				DP[i]=min(DP[i],{DP[j-1].first+ans,DP[j-1].second+1});
			}
		}
		return DP[n];
	};
	auto solve = [&](int penalty){
		auto mini = solvemin(penalty);
		auto maxi = solvemax(penalty);
		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<<50);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){}
      |  ^~~~~~~

Subtask #1
16.0 / 16.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 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	1 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	0 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	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct

Subtask #2
24.0 / 24.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 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	1 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	0 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	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct
17	Correct	29 ms	348 KB	Output is correct
18	Correct	237 ms	348 KB	Output is correct
19	Correct	240 ms	348 KB	Output is correct
20	Correct	262 ms	344 KB	Output is correct
21	Correct	254 ms	344 KB	Output is correct
22	Correct	255 ms	600 KB	Output is correct
23	Correct	258 ms	344 KB	Output is correct
24	Correct	247 ms	464 KB	Output is correct
25	Correct	233 ms	348 KB	Output is correct
26	Correct	228 ms	344 KB	Output is correct
27	Correct	237 ms	344 KB	Output is correct
28	Correct	243 ms	344 KB	Output is correct

Subtask #3
0 / 21.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 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	1 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	0 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	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct
17	Correct	29 ms	348 KB	Output is correct
18	Correct	237 ms	348 KB	Output is correct
19	Correct	240 ms	348 KB	Output is correct
20	Correct	262 ms	344 KB	Output is correct
21	Correct	254 ms	344 KB	Output is correct
22	Correct	255 ms	600 KB	Output is correct
23	Correct	258 ms	344 KB	Output is correct
24	Correct	247 ms	464 KB	Output is correct
25	Correct	233 ms	348 KB	Output is correct
26	Correct	228 ms	344 KB	Output is correct
27	Correct	237 ms	344 KB	Output is correct
28	Correct	243 ms	344 KB	Output is correct
29	Execution timed out	7032 ms	604 KB	Time limit exceeded
30	Halted	0 ms	0 KB	-

Subtask #4
0 / 26.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 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	1 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	0 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	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct
17	Correct	29 ms	348 KB	Output is correct
18	Correct	237 ms	348 KB	Output is correct
19	Correct	240 ms	348 KB	Output is correct
20	Correct	262 ms	344 KB	Output is correct
21	Correct	254 ms	344 KB	Output is correct
22	Correct	255 ms	600 KB	Output is correct
23	Correct	258 ms	344 KB	Output is correct
24	Correct	247 ms	464 KB	Output is correct
25	Correct	233 ms	348 KB	Output is correct
26	Correct	228 ms	344 KB	Output is correct
27	Correct	237 ms	344 KB	Output is correct
28	Correct	243 ms	344 KB	Output is correct
29	Execution timed out	7032 ms	604 KB	Time limit exceeded
30	Halted	0 ms	0 KB	-

Subtask #5
0 / 13.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 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	1 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	0 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	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct
17	Correct	29 ms	348 KB	Output is correct
18	Correct	237 ms	348 KB	Output is correct
19	Correct	240 ms	348 KB	Output is correct
20	Correct	262 ms	344 KB	Output is correct
21	Correct	254 ms	344 KB	Output is correct
22	Correct	255 ms	600 KB	Output is correct
23	Correct	258 ms	344 KB	Output is correct
24	Correct	247 ms	464 KB	Output is correct
25	Correct	233 ms	348 KB	Output is correct
26	Correct	228 ms	344 KB	Output is correct
27	Correct	237 ms	344 KB	Output is correct
28	Correct	243 ms	344 KB	Output is correct
29	Execution timed out	7032 ms	604 KB	Time limit exceeded
30	Halted	0 ms	0 KB	-

Submission #1031435

Compilation message

Subtask #1 16.0 / 16.0

Subtask #2 24.0 / 24.0

Subtask #3 0 / 21.0

Subtask #4 0 / 26.0

Subtask #5 0 / 13.0

Subtask #1
16.0 / 16.0

Subtask #2
24.0 / 24.0

Subtask #3
0 / 21.0

Subtask #4
0 / 26.0

Subtask #5
0 / 13.0