답안 #855336

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
855336	2023-10-01T05:53:01 Z	willychan	Chorus (JOI23_chorus)	C++14	87 / 100	574 ms	12540 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 = 1e5+5;
pair<ll,int> dp[N];
int Bpa[N];
ll Bpasum[N];
int Bpaj[N];
int n,K;

ll cost(int i,int j){
	int r = min(Bpaj[j],j);
	int l = i+1;
	if(r<l) return 0;
	return (1LL*j*(r-l+1))-(Bpasum[r]-Bpasum[l-1]);
}

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') Bpaj[pa++]=pb;
		if(s[i-1]=='B') Bpa[++pb]=pa;
	}
	for(int i=pa;i<=n;i++) Bpaj[i]=n;
	for(int i=1;i<=n;i++){
		Bpasum[i] = Bpasum[i-1]+Bpa[i];
	}
	ll l = -1;ll r = 1e12;
	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

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

Subtask #2
24.0 / 24.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	2392 KB	Output is correct
2	Correct	0 ms	2396 KB	Output is correct
3	Correct	0 ms	2396 KB	Output is correct
4	Correct	0 ms	2396 KB	Output is correct
5	Correct	1 ms	2396 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	0 ms	2396 KB	Output is correct
11	Correct	1 ms	2396 KB	Output is correct
12	Correct	1 ms	2392 KB	Output is correct
13	Correct	1 ms	2396 KB	Output is correct
14	Correct	0 ms	2396 KB	Output is correct
15	Correct	1 ms	2396 KB	Output is correct
16	Correct	0 ms	2396 KB	Output is correct
17	Correct	1 ms	2396 KB	Output is correct
18	Correct	2 ms	2532 KB	Output is correct
19	Correct	2 ms	2396 KB	Output is correct
20	Correct	2 ms	2396 KB	Output is correct
21	Correct	2 ms	2396 KB	Output is correct
22	Correct	2 ms	2396 KB	Output is correct
23	Correct	2 ms	2392 KB	Output is correct
24	Correct	2 ms	2396 KB	Output is correct
25	Correct	2 ms	2396 KB	Output is correct
26	Correct	2 ms	2396 KB	Output is correct
27	Correct	2 ms	2396 KB	Output is correct
28	Correct	2 ms	2396 KB	Output is correct

Subtask #3
21.0 / 21.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	2392 KB	Output is correct
2	Correct	0 ms	2396 KB	Output is correct
3	Correct	0 ms	2396 KB	Output is correct
4	Correct	0 ms	2396 KB	Output is correct
5	Correct	1 ms	2396 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	0 ms	2396 KB	Output is correct
11	Correct	1 ms	2396 KB	Output is correct
12	Correct	1 ms	2392 KB	Output is correct
13	Correct	1 ms	2396 KB	Output is correct
14	Correct	0 ms	2396 KB	Output is correct
15	Correct	1 ms	2396 KB	Output is correct
16	Correct	0 ms	2396 KB	Output is correct
17	Correct	1 ms	2396 KB	Output is correct
18	Correct	2 ms	2532 KB	Output is correct
19	Correct	2 ms	2396 KB	Output is correct
20	Correct	2 ms	2396 KB	Output is correct
21	Correct	2 ms	2396 KB	Output is correct
22	Correct	2 ms	2396 KB	Output is correct
23	Correct	2 ms	2392 KB	Output is correct
24	Correct	2 ms	2396 KB	Output is correct
25	Correct	2 ms	2396 KB	Output is correct
26	Correct	2 ms	2396 KB	Output is correct
27	Correct	2 ms	2396 KB	Output is correct
28	Correct	2 ms	2396 KB	Output is correct
29	Correct	22 ms	2648 KB	Output is correct
30	Correct	21 ms	2652 KB	Output is correct
31	Correct	20 ms	2656 KB	Output is correct
32	Correct	22 ms	2652 KB	Output is correct
33	Correct	19 ms	2648 KB	Output is correct
34	Correct	22 ms	2656 KB	Output is correct
35	Correct	22 ms	2652 KB	Output is correct
36	Correct	21 ms	2648 KB	Output is correct
37	Correct	21 ms	2652 KB	Output is correct
38	Correct	25 ms	2652 KB	Output is correct
39	Correct	21 ms	2652 KB	Output is correct
40	Correct	18 ms	2648 KB	Output is correct
41	Correct	19 ms	2652 KB	Output is correct
42	Correct	18 ms	2660 KB	Output is correct

Subtask #4
26.0 / 26.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	2392 KB	Output is correct
2	Correct	0 ms	2396 KB	Output is correct
3	Correct	0 ms	2396 KB	Output is correct
4	Correct	0 ms	2396 KB	Output is correct
5	Correct	1 ms	2396 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	0 ms	2396 KB	Output is correct
11	Correct	1 ms	2396 KB	Output is correct
12	Correct	1 ms	2392 KB	Output is correct
13	Correct	1 ms	2396 KB	Output is correct
14	Correct	0 ms	2396 KB	Output is correct
15	Correct	1 ms	2396 KB	Output is correct
16	Correct	0 ms	2396 KB	Output is correct
17	Correct	1 ms	2396 KB	Output is correct
18	Correct	2 ms	2532 KB	Output is correct
19	Correct	2 ms	2396 KB	Output is correct
20	Correct	2 ms	2396 KB	Output is correct
21	Correct	2 ms	2396 KB	Output is correct
22	Correct	2 ms	2396 KB	Output is correct
23	Correct	2 ms	2392 KB	Output is correct
24	Correct	2 ms	2396 KB	Output is correct
25	Correct	2 ms	2396 KB	Output is correct
26	Correct	2 ms	2396 KB	Output is correct
27	Correct	2 ms	2396 KB	Output is correct
28	Correct	2 ms	2396 KB	Output is correct
29	Correct	22 ms	2648 KB	Output is correct
30	Correct	21 ms	2652 KB	Output is correct
31	Correct	20 ms	2656 KB	Output is correct
32	Correct	22 ms	2652 KB	Output is correct
33	Correct	19 ms	2648 KB	Output is correct
34	Correct	22 ms	2656 KB	Output is correct
35	Correct	22 ms	2652 KB	Output is correct
36	Correct	21 ms	2648 KB	Output is correct
37	Correct	21 ms	2652 KB	Output is correct
38	Correct	25 ms	2652 KB	Output is correct
39	Correct	21 ms	2652 KB	Output is correct
40	Correct	18 ms	2648 KB	Output is correct
41	Correct	19 ms	2652 KB	Output is correct
42	Correct	18 ms	2660 KB	Output is correct
43	Correct	265 ms	3920 KB	Output is correct
44	Correct	477 ms	4776 KB	Output is correct
45	Correct	456 ms	4812 KB	Output is correct
46	Correct	521 ms	4580 KB	Output is correct
47	Correct	418 ms	5488 KB	Output is correct
48	Correct	574 ms	5276 KB	Output is correct
49	Correct	541 ms	5184 KB	Output is correct
50	Correct	456 ms	4972 KB	Output is correct
51	Correct	471 ms	5140 KB	Output is correct
52	Correct	544 ms	5196 KB	Output is correct
53	Correct	560 ms	5204 KB	Output is correct
54	Correct	463 ms	4924 KB	Output is correct

Subtask #5
0 / 13.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	2392 KB	Output is correct
2	Correct	0 ms	2396 KB	Output is correct
3	Correct	0 ms	2396 KB	Output is correct
4	Correct	0 ms	2396 KB	Output is correct
5	Correct	1 ms	2396 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	0 ms	2396 KB	Output is correct
11	Correct	1 ms	2396 KB	Output is correct
12	Correct	1 ms	2392 KB	Output is correct
13	Correct	1 ms	2396 KB	Output is correct
14	Correct	0 ms	2396 KB	Output is correct
15	Correct	1 ms	2396 KB	Output is correct
16	Correct	0 ms	2396 KB	Output is correct
17	Correct	1 ms	2396 KB	Output is correct
18	Correct	2 ms	2532 KB	Output is correct
19	Correct	2 ms	2396 KB	Output is correct
20	Correct	2 ms	2396 KB	Output is correct
21	Correct	2 ms	2396 KB	Output is correct
22	Correct	2 ms	2396 KB	Output is correct
23	Correct	2 ms	2392 KB	Output is correct
24	Correct	2 ms	2396 KB	Output is correct
25	Correct	2 ms	2396 KB	Output is correct
26	Correct	2 ms	2396 KB	Output is correct
27	Correct	2 ms	2396 KB	Output is correct
28	Correct	2 ms	2396 KB	Output is correct
29	Correct	22 ms	2648 KB	Output is correct
30	Correct	21 ms	2652 KB	Output is correct
31	Correct	20 ms	2656 KB	Output is correct
32	Correct	22 ms	2652 KB	Output is correct
33	Correct	19 ms	2648 KB	Output is correct
34	Correct	22 ms	2656 KB	Output is correct
35	Correct	22 ms	2652 KB	Output is correct
36	Correct	21 ms	2648 KB	Output is correct
37	Correct	21 ms	2652 KB	Output is correct
38	Correct	25 ms	2652 KB	Output is correct
39	Correct	21 ms	2652 KB	Output is correct
40	Correct	18 ms	2648 KB	Output is correct
41	Correct	19 ms	2652 KB	Output is correct
42	Correct	18 ms	2660 KB	Output is correct
43	Correct	265 ms	3920 KB	Output is correct
44	Correct	477 ms	4776 KB	Output is correct
45	Correct	456 ms	4812 KB	Output is correct
46	Correct	521 ms	4580 KB	Output is correct
47	Correct	418 ms	5488 KB	Output is correct
48	Correct	574 ms	5276 KB	Output is correct
49	Correct	541 ms	5184 KB	Output is correct
50	Correct	456 ms	4972 KB	Output is correct
51	Correct	471 ms	5140 KB	Output is correct
52	Correct	544 ms	5196 KB	Output is correct
53	Correct	560 ms	5204 KB	Output is correct
54	Correct	463 ms	4924 KB	Output is correct
55	Runtime error	12 ms	12540 KB	Execution killed with signal 11
56	Halted	0 ms	0 KB	-

답안 #855336

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 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
0 / 13.0