Submission #855318

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
855318	2023-10-01T05:35:02 Z	willychan	Chorus (JOI23_chorus)	C++14	61 / 100	7000 ms	11576 KB

chorus

#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
//#include<bits/extc++.h>
//__gnu_pbds
#define int ll

const int N = 1e6+5;
pair<ll,int> dp[N];
int Bpa[N];
ll Bpasum[N];
int n,K;

ll cost(int i,int j){
	int l = i;
	int r = j+1;
	while(r-l>1){
		int mid = (l+r)/2;
		if(Bpa[mid]<j) l = mid;
		else r = mid;
	}
	int cnt = l-i;
	ll ans = Bpasum[l]-Bpasum[i];
	return cnt*j-ans;	
}

struct seg{
	int pos;int l;int r;
	seg(int _pos,int _l,int _r):pos(_pos),l(_l),r(_r){}
};

bool ok(int v){
	for(int i=0;i<=n;i++) dp[i] = {1e18,0};
	dp[0]={0,0};
	dp[n+1] = {1e15,0};
	deque<seg> dq;
	dq.push_back(seg(0,1,n));
	for(int i=1;i<=n;i++){
		while(dq.size()){
			if(dq[0].r<i) dq.pop_front();
			else break;
		}
		dp[i] = {dp[dq[0].pos].first+cost(dq[0].pos,i)+v,dp[dq[0].pos].second+1};
		while(dq.size()){
			if(dp[dq.back().pos].first+cost(dq.back().pos,dq.back().l)>dp[i].first+cost(i,dq.back().l)) dq.pop_back();
			else break;
		}
		if(dq.empty()) dq.push_back(seg(i,i+1,n));
		else{
			seg pseg = dq.back();
			dq.pop_back();
			int l = pseg.l;int r = pseg.r+1;
			while(r-l>1){
				int mid = (l+r)/2;
				if(dp[pseg.pos].first+cost(pseg.pos,mid)>dp[i].first+cost(i,mid)) r=mid;
				else l = mid;
			}
			dq.push_back(seg(pseg.pos,pseg.l,l));
			if(l!=n) dq.push_back(seg(i,l+1,n));
		}
	}
	//cout<<(dp[n].second<=K)<<" "<<dp[n].first<<" "<<v<<"\n";
	return (dp[n].second<=K);
}
 
signed main(){
	ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0);
	cin>>n>>K;			
	string s;cin>>s;
	int pa = 0;
	int pb = 0;
	for(int i=1;i<=2*n;i++){
		if(s[i-1]=='A') pa++;
		if(s[i-1]=='B') Bpa[++pb]=pa;
	}
	for(int i=1;i<=n;i++){
		Bpasum[i] = Bpasum[i-1]+Bpa[i];
	}
	ll l = -1;ll r = 1e15;
	while(r-l>1){
		ll mid = l+((r-l)/2);
		if(ok(mid)) r = mid;
		else l = mid;
	}
	ok(r);
	//cout<<r<<"\n";
	cout<<dp[n].first-r*K<<"\n";
 
	return 0;
}

Subtask #1
16.0 / 16.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	4440 KB	Output is correct
2	Correct	1 ms	4696 KB	Output is correct
3	Correct	1 ms	4444 KB	Output is correct
4	Correct	1 ms	4444 KB	Output is correct
5	Correct	1 ms	4444 KB	Output is correct
6	Correct	1 ms	4444 KB	Output is correct
7	Correct	1 ms	4444 KB	Output is correct
8	Correct	1 ms	4444 KB	Output is correct
9	Correct	1 ms	4444 KB	Output is correct
10	Correct	1 ms	4444 KB	Output is correct
11	Correct	1 ms	4444 KB	Output is correct
12	Correct	1 ms	4444 KB	Output is correct
13	Correct	1 ms	4444 KB	Output is correct
14	Correct	1 ms	4444 KB	Output is correct
15	Correct	1 ms	4440 KB	Output is correct
16	Correct	1 ms	4444 KB	Output is correct

Subtask #2
24.0 / 24.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	4440 KB	Output is correct
2	Correct	1 ms	4696 KB	Output is correct
3	Correct	1 ms	4444 KB	Output is correct
4	Correct	1 ms	4444 KB	Output is correct
5	Correct	1 ms	4444 KB	Output is correct
6	Correct	1 ms	4444 KB	Output is correct
7	Correct	1 ms	4444 KB	Output is correct
8	Correct	1 ms	4444 KB	Output is correct
9	Correct	1 ms	4444 KB	Output is correct
10	Correct	1 ms	4444 KB	Output is correct
11	Correct	1 ms	4444 KB	Output is correct
12	Correct	1 ms	4444 KB	Output is correct
13	Correct	1 ms	4444 KB	Output is correct
14	Correct	1 ms	4444 KB	Output is correct
15	Correct	1 ms	4440 KB	Output is correct
16	Correct	1 ms	4444 KB	Output is correct
17	Correct	4 ms	4444 KB	Output is correct
18	Correct	12 ms	4572 KB	Output is correct
19	Correct	12 ms	4700 KB	Output is correct
20	Correct	14 ms	4444 KB	Output is correct
21	Correct	13 ms	4444 KB	Output is correct
22	Correct	12 ms	4572 KB	Output is correct
23	Correct	12 ms	4444 KB	Output is correct
24	Correct	12 ms	4440 KB	Output is correct
25	Correct	12 ms	4440 KB	Output is correct
26	Correct	13 ms	4444 KB	Output is correct
27	Correct	12 ms	4572 KB	Output is correct
28	Correct	12 ms	4572 KB	Output is correct

Subtask #3
21.0 / 21.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	4440 KB	Output is correct
2	Correct	1 ms	4696 KB	Output is correct
3	Correct	1 ms	4444 KB	Output is correct
4	Correct	1 ms	4444 KB	Output is correct
5	Correct	1 ms	4444 KB	Output is correct
6	Correct	1 ms	4444 KB	Output is correct
7	Correct	1 ms	4444 KB	Output is correct
8	Correct	1 ms	4444 KB	Output is correct
9	Correct	1 ms	4444 KB	Output is correct
10	Correct	1 ms	4444 KB	Output is correct
11	Correct	1 ms	4444 KB	Output is correct
12	Correct	1 ms	4444 KB	Output is correct
13	Correct	1 ms	4444 KB	Output is correct
14	Correct	1 ms	4444 KB	Output is correct
15	Correct	1 ms	4440 KB	Output is correct
16	Correct	1 ms	4444 KB	Output is correct
17	Correct	4 ms	4444 KB	Output is correct
18	Correct	12 ms	4572 KB	Output is correct
19	Correct	12 ms	4700 KB	Output is correct
20	Correct	14 ms	4444 KB	Output is correct
21	Correct	13 ms	4444 KB	Output is correct
22	Correct	12 ms	4572 KB	Output is correct
23	Correct	12 ms	4444 KB	Output is correct
24	Correct	12 ms	4440 KB	Output is correct
25	Correct	12 ms	4440 KB	Output is correct
26	Correct	13 ms	4444 KB	Output is correct
27	Correct	12 ms	4572 KB	Output is correct
28	Correct	12 ms	4572 KB	Output is correct
29	Correct	227 ms	4604 KB	Output is correct
30	Correct	215 ms	4440 KB	Output is correct
31	Correct	212 ms	4620 KB	Output is correct
32	Correct	266 ms	4692 KB	Output is correct
33	Correct	235 ms	4604 KB	Output is correct
34	Correct	229 ms	4440 KB	Output is correct
35	Correct	226 ms	4636 KB	Output is correct
36	Correct	224 ms	4624 KB	Output is correct
37	Correct	214 ms	4604 KB	Output is correct
38	Correct	231 ms	4632 KB	Output is correct
39	Correct	228 ms	4604 KB	Output is correct
40	Correct	208 ms	4608 KB	Output is correct
41	Correct	197 ms	4608 KB	Output is correct
42	Correct	262 ms	4864 KB	Output is correct

Subtask #4
0 / 26.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	4440 KB	Output is correct
2	Correct	1 ms	4696 KB	Output is correct
3	Correct	1 ms	4444 KB	Output is correct
4	Correct	1 ms	4444 KB	Output is correct
5	Correct	1 ms	4444 KB	Output is correct
6	Correct	1 ms	4444 KB	Output is correct
7	Correct	1 ms	4444 KB	Output is correct
8	Correct	1 ms	4444 KB	Output is correct
9	Correct	1 ms	4444 KB	Output is correct
10	Correct	1 ms	4444 KB	Output is correct
11	Correct	1 ms	4444 KB	Output is correct
12	Correct	1 ms	4444 KB	Output is correct
13	Correct	1 ms	4444 KB	Output is correct
14	Correct	1 ms	4444 KB	Output is correct
15	Correct	1 ms	4440 KB	Output is correct
16	Correct	1 ms	4444 KB	Output is correct
17	Correct	4 ms	4444 KB	Output is correct
18	Correct	12 ms	4572 KB	Output is correct
19	Correct	12 ms	4700 KB	Output is correct
20	Correct	14 ms	4444 KB	Output is correct
21	Correct	13 ms	4444 KB	Output is correct
22	Correct	12 ms	4572 KB	Output is correct
23	Correct	12 ms	4444 KB	Output is correct
24	Correct	12 ms	4440 KB	Output is correct
25	Correct	12 ms	4440 KB	Output is correct
26	Correct	13 ms	4444 KB	Output is correct
27	Correct	12 ms	4572 KB	Output is correct
28	Correct	12 ms	4572 KB	Output is correct
29	Correct	227 ms	4604 KB	Output is correct
30	Correct	215 ms	4440 KB	Output is correct
31	Correct	212 ms	4620 KB	Output is correct
32	Correct	266 ms	4692 KB	Output is correct
33	Correct	235 ms	4604 KB	Output is correct
34	Correct	229 ms	4440 KB	Output is correct
35	Correct	226 ms	4636 KB	Output is correct
36	Correct	224 ms	4624 KB	Output is correct
37	Correct	214 ms	4604 KB	Output is correct
38	Correct	231 ms	4632 KB	Output is correct
39	Correct	228 ms	4604 KB	Output is correct
40	Correct	208 ms	4608 KB	Output is correct
41	Correct	197 ms	4608 KB	Output is correct
42	Correct	262 ms	4864 KB	Output is correct
43	Correct	3818 ms	9304 KB	Output is correct
44	Correct	6950 ms	11576 KB	Output is correct
45	Correct	6766 ms	11252 KB	Output is correct
46	Execution timed out	7015 ms	11208 KB	Time limit exceeded
47	Halted	0 ms	0 KB	-

Subtask #5
0 / 13.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	4440 KB	Output is correct
2	Correct	1 ms	4696 KB	Output is correct
3	Correct	1 ms	4444 KB	Output is correct
4	Correct	1 ms	4444 KB	Output is correct
5	Correct	1 ms	4444 KB	Output is correct
6	Correct	1 ms	4444 KB	Output is correct
7	Correct	1 ms	4444 KB	Output is correct
8	Correct	1 ms	4444 KB	Output is correct
9	Correct	1 ms	4444 KB	Output is correct
10	Correct	1 ms	4444 KB	Output is correct
11	Correct	1 ms	4444 KB	Output is correct
12	Correct	1 ms	4444 KB	Output is correct
13	Correct	1 ms	4444 KB	Output is correct
14	Correct	1 ms	4444 KB	Output is correct
15	Correct	1 ms	4440 KB	Output is correct
16	Correct	1 ms	4444 KB	Output is correct
17	Correct	4 ms	4444 KB	Output is correct
18	Correct	12 ms	4572 KB	Output is correct
19	Correct	12 ms	4700 KB	Output is correct
20	Correct	14 ms	4444 KB	Output is correct
21	Correct	13 ms	4444 KB	Output is correct
22	Correct	12 ms	4572 KB	Output is correct
23	Correct	12 ms	4444 KB	Output is correct
24	Correct	12 ms	4440 KB	Output is correct
25	Correct	12 ms	4440 KB	Output is correct
26	Correct	13 ms	4444 KB	Output is correct
27	Correct	12 ms	4572 KB	Output is correct
28	Correct	12 ms	4572 KB	Output is correct
29	Correct	227 ms	4604 KB	Output is correct
30	Correct	215 ms	4440 KB	Output is correct
31	Correct	212 ms	4620 KB	Output is correct
32	Correct	266 ms	4692 KB	Output is correct
33	Correct	235 ms	4604 KB	Output is correct
34	Correct	229 ms	4440 KB	Output is correct
35	Correct	226 ms	4636 KB	Output is correct
36	Correct	224 ms	4624 KB	Output is correct
37	Correct	214 ms	4604 KB	Output is correct
38	Correct	231 ms	4632 KB	Output is correct
39	Correct	228 ms	4604 KB	Output is correct
40	Correct	208 ms	4608 KB	Output is correct
41	Correct	197 ms	4608 KB	Output is correct
42	Correct	262 ms	4864 KB	Output is correct
43	Correct	3818 ms	9304 KB	Output is correct
44	Correct	6950 ms	11576 KB	Output is correct
45	Correct	6766 ms	11252 KB	Output is correct
46	Execution timed out	7015 ms	11208 KB	Time limit exceeded
47	Halted	0 ms	0 KB	-

Submission #855318

Compilation message

Subtask #1 16.0 / 16.0

Subtask #2 24.0 / 24.0

Subtask #3 21.0 / 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
21.0 / 21.0

Subtask #4
0 / 26.0

Subtask #5
0 / 13.0