oj.uz

Submission #855337

# Submission time Handle Problem Language Result Execution time Memory
855337 2023-10-01T05:53:51 Z willychan Chorus (JOI23_chorus) C++14
100 / 100
 6840 ms 49812 KB 
#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 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+5;
	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 0 ms 4444 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 4440 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 4444 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 0 ms 4444 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 4440 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 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 2 ms 4440 KB Output is correct
19 Correct 2 ms 4440 KB Output is correct
20 Correct 2 ms 4444 KB Output is correct
21 Correct 2 ms 4444 KB Output is correct
22 Correct 3 ms 4444 KB Output is correct
23 Correct 2 ms 4444 KB Output is correct
24 Correct 2 ms 4440 KB Output is correct
25 Correct 2 ms 4444 KB Output is correct
26 Correct 2 ms 4584 KB Output is correct
27 Correct 2 ms 4444 KB Output is correct
28 Correct 2 ms 4444 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 0 ms 4444 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 4440 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 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 2 ms 4440 KB Output is correct
19 Correct 2 ms 4440 KB Output is correct
20 Correct 2 ms 4444 KB Output is correct
21 Correct 2 ms 4444 KB Output is correct
22 Correct 3 ms 4444 KB Output is correct
23 Correct 2 ms 4444 KB Output is correct
24 Correct 2 ms 4440 KB Output is correct
25 Correct 2 ms 4444 KB Output is correct
26 Correct 2 ms 4584 KB Output is correct
27 Correct 2 ms 4444 KB Output is correct
28 Correct 2 ms 4444 KB Output is correct
29 Correct 22 ms 4444 KB Output is correct
30 Correct 21 ms 4444 KB Output is correct
31 Correct 20 ms 4444 KB Output is correct
32 Correct 21 ms 4440 KB Output is correct
33 Correct 19 ms 4444 KB Output is correct
34 Correct 23 ms 4696 KB Output is correct
35 Correct 22 ms 4676 KB Output is correct
36 Correct 20 ms 4440 KB Output is correct
37 Correct 21 ms 4444 KB Output is correct
38 Correct 22 ms 4440 KB Output is correct
39 Correct 21 ms 4444 KB Output is correct
40 Correct 19 ms 4672 KB Output is correct
41 Correct 19 ms 4440 KB Output is correct
42 Correct 19 ms 4868 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 0 ms 4444 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 4440 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 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 2 ms 4440 KB Output is correct
19 Correct 2 ms 4440 KB Output is correct
20 Correct 2 ms 4444 KB Output is correct
21 Correct 2 ms 4444 KB Output is correct
22 Correct 3 ms 4444 KB Output is correct
23 Correct 2 ms 4444 KB Output is correct
24 Correct 2 ms 4440 KB Output is correct
25 Correct 2 ms 4444 KB Output is correct
26 Correct 2 ms 4584 KB Output is correct
27 Correct 2 ms 4444 KB Output is correct
28 Correct 2 ms 4444 KB Output is correct
29 Correct 22 ms 4444 KB Output is correct
30 Correct 21 ms 4444 KB Output is correct
31 Correct 20 ms 4444 KB Output is correct
32 Correct 21 ms 4440 KB Output is correct
33 Correct 19 ms 4444 KB Output is correct
34 Correct 23 ms 4696 KB Output is correct
35 Correct 22 ms 4676 KB Output is correct
36 Correct 20 ms 4440 KB Output is correct
37 Correct 21 ms 4444 KB Output is correct
38 Correct 22 ms 4440 KB Output is correct
39 Correct 21 ms 4444 KB Output is correct
40 Correct 19 ms 4672 KB Output is correct
41 Correct 19 ms 4440 KB Output is correct
42 Correct 19 ms 4868 KB Output is correct
43 Correct 270 ms 7612 KB Output is correct
44 Correct 463 ms 11820 KB Output is correct
45 Correct 450 ms 11952 KB Output is correct
46 Correct 521 ms 11752 KB Output is correct
47 Correct 401 ms 12168 KB Output is correct
48 Correct 556 ms 12052 KB Output is correct
49 Correct 541 ms 12088 KB Output is correct
50 Correct 446 ms 12048 KB Output is correct
51 Correct 457 ms 11812 KB Output is correct
52 Correct 542 ms 12072 KB Output is correct
53 Correct 559 ms 12308 KB Output is correct
54 Correct 463 ms 12032 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 0 ms 4444 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 4440 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 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 2 ms 4440 KB Output is correct
19 Correct 2 ms 4440 KB Output is correct
20 Correct 2 ms 4444 KB Output is correct
21 Correct 2 ms 4444 KB Output is correct
22 Correct 3 ms 4444 KB Output is correct
23 Correct 2 ms 4444 KB Output is correct
24 Correct 2 ms 4440 KB Output is correct
25 Correct 2 ms 4444 KB Output is correct
26 Correct 2 ms 4584 KB Output is correct
27 Correct 2 ms 4444 KB Output is correct
28 Correct 2 ms 4444 KB Output is correct
29 Correct 22 ms 4444 KB Output is correct
30 Correct 21 ms 4444 KB Output is correct
31 Correct 20 ms 4444 KB Output is correct
32 Correct 21 ms 4440 KB Output is correct
33 Correct 19 ms 4444 KB Output is correct
34 Correct 23 ms 4696 KB Output is correct
35 Correct 22 ms 4676 KB Output is correct
36 Correct 20 ms 4440 KB Output is correct
37 Correct 21 ms 4444 KB Output is correct
38 Correct 22 ms 4440 KB Output is correct
39 Correct 21 ms 4444 KB Output is correct
40 Correct 19 ms 4672 KB Output is correct
41 Correct 19 ms 4440 KB Output is correct
42 Correct 19 ms 4868 KB Output is correct
43 Correct 270 ms 7612 KB Output is correct
44 Correct 463 ms 11820 KB Output is correct
45 Correct 450 ms 11952 KB Output is correct
46 Correct 521 ms 11752 KB Output is correct
47 Correct 401 ms 12168 KB Output is correct
48 Correct 556 ms 12052 KB Output is correct
49 Correct 541 ms 12088 KB Output is correct
50 Correct 446 ms 12048 KB Output is correct
51 Correct 457 ms 11812 KB Output is correct
52 Correct 542 ms 12072 KB Output is correct
53 Correct 559 ms 12308 KB Output is correct
54 Correct 463 ms 12032 KB Output is correct
55 Correct 3117 ms 37872 KB Output is correct
56 Correct 5788 ms 48996 KB Output is correct
57 Correct 4938 ms 48256 KB Output is correct
58 Correct 4248 ms 47352 KB Output is correct
59 Correct 4372 ms 49560 KB Output is correct
60 Correct 6788 ms 49540 KB Output is correct
61 Correct 6637 ms 49556 KB Output is correct
62 Correct 5186 ms 47860 KB Output is correct
63 Correct 4906 ms 47900 KB Output is correct
64 Correct 6840 ms 49736 KB Output is correct
65 Correct 6778 ms 49812 KB Output is correct
66 Correct 5211 ms 48128 KB Output is correct
67 Correct 6787 ms 49476 KB Output is correct