oj.uz

Submission #855339

# Submission time Handle Problem Language Result Execution time Memory
855339 2023-10-01T06:10:00 Z willychan Chorus (JOI23_chorus) C++14
87 / 100
 7000 ms 36396 KB 
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
//#include<bits/extc++.h>
//__gnu_pbds
const int N = 1e6+5;
pair<ll,ll> 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(ll 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();
			ll l = pseg.l;ll r = pseg.r+1;
			while(r-l>1){
				ll 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));
		}
	}
	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 = 1LL*n*n+2;
	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-(1LL*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 4440 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 4440 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 4504 KB Output is correct
11 Correct 1 ms 4440 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 1 ms 4440 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 4440 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 4504 KB Output is correct
11 Correct 1 ms 4440 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 4580 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 2 ms 4444 KB Output is correct
21 Correct 1 ms 4696 KB Output is correct
22 Correct 1 ms 4444 KB Output is correct
23 Correct 2 ms 4444 KB Output is correct
24 Correct 1 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4444 KB Output is correct
27 Correct 1 ms 4440 KB Output is correct
28 Correct 1 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 1 ms 4440 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 4440 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 4504 KB Output is correct
11 Correct 1 ms 4440 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 4580 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 2 ms 4444 KB Output is correct
21 Correct 1 ms 4696 KB Output is correct
22 Correct 1 ms 4444 KB Output is correct
23 Correct 2 ms 4444 KB Output is correct
24 Correct 1 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4444 KB Output is correct
27 Correct 1 ms 4440 KB Output is correct
28 Correct 1 ms 4444 KB Output is correct
29 Correct 14 ms 4440 KB Output is correct
30 Correct 13 ms 4440 KB Output is correct
31 Correct 12 ms 4444 KB Output is correct
32 Correct 17 ms 4656 KB Output is correct
33 Correct 10 ms 4444 KB Output is correct
34 Correct 15 ms 4668 KB Output is correct
35 Correct 14 ms 4664 KB Output is correct
36 Correct 12 ms 4444 KB Output is correct
37 Correct 13 ms 4664 KB Output is correct
38 Correct 14 ms 4444 KB Output is correct
39 Correct 14 ms 4664 KB Output is correct
40 Correct 10 ms 4444 KB Output is correct
41 Correct 11 ms 4444 KB Output is correct
42 Correct 10 ms 4440 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 1 ms 4440 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 4440 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 4504 KB Output is correct
11 Correct 1 ms 4440 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 4580 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 2 ms 4444 KB Output is correct
21 Correct 1 ms 4696 KB Output is correct
22 Correct 1 ms 4444 KB Output is correct
23 Correct 2 ms 4444 KB Output is correct
24 Correct 1 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4444 KB Output is correct
27 Correct 1 ms 4440 KB Output is correct
28 Correct 1 ms 4444 KB Output is correct
29 Correct 14 ms 4440 KB Output is correct
30 Correct 13 ms 4440 KB Output is correct
31 Correct 12 ms 4444 KB Output is correct
32 Correct 17 ms 4656 KB Output is correct
33 Correct 10 ms 4444 KB Output is correct
34 Correct 15 ms 4668 KB Output is correct
35 Correct 14 ms 4664 KB Output is correct
36 Correct 12 ms 4444 KB Output is correct
37 Correct 13 ms 4664 KB Output is correct
38 Correct 14 ms 4444 KB Output is correct
39 Correct 14 ms 4664 KB Output is correct
40 Correct 10 ms 4444 KB Output is correct
41 Correct 11 ms 4444 KB Output is correct
42 Correct 10 ms 4440 KB Output is correct
43 Correct 217 ms 11512 KB Output is correct
44 Correct 408 ms 11576 KB Output is correct
45 Correct 386 ms 11592 KB Output is correct
46 Correct 591 ms 11492 KB Output is correct
47 Correct 330 ms 12140 KB Output is correct
48 Correct 497 ms 11712 KB Output is correct
49 Correct 497 ms 11708 KB Output is correct
50 Correct 391 ms 11496 KB Output is correct
51 Correct 405 ms 11492 KB Output is correct
52 Correct 499 ms 11592 KB Output is correct
53 Correct 495 ms 11708 KB Output is correct
54 Correct 392 ms 11656 KB Output is correct

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4440 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 4440 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 4504 KB Output is correct
11 Correct 1 ms 4440 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 4580 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 2 ms 4444 KB Output is correct
21 Correct 1 ms 4696 KB Output is correct
22 Correct 1 ms 4444 KB Output is correct
23 Correct 2 ms 4444 KB Output is correct
24 Correct 1 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4444 KB Output is correct
27 Correct 1 ms 4440 KB Output is correct
28 Correct 1 ms 4444 KB Output is correct
29 Correct 14 ms 4440 KB Output is correct
30 Correct 13 ms 4440 KB Output is correct
31 Correct 12 ms 4444 KB Output is correct
32 Correct 17 ms 4656 KB Output is correct
33 Correct 10 ms 4444 KB Output is correct
34 Correct 15 ms 4668 KB Output is correct
35 Correct 14 ms 4664 KB Output is correct
36 Correct 12 ms 4444 KB Output is correct
37 Correct 13 ms 4664 KB Output is correct
38 Correct 14 ms 4444 KB Output is correct
39 Correct 14 ms 4664 KB Output is correct
40 Correct 10 ms 4444 KB Output is correct
41 Correct 11 ms 4444 KB Output is correct
42 Correct 10 ms 4440 KB Output is correct
43 Correct 217 ms 11512 KB Output is correct
44 Correct 408 ms 11576 KB Output is correct
45 Correct 386 ms 11592 KB Output is correct
46 Correct 591 ms 11492 KB Output is correct
47 Correct 330 ms 12140 KB Output is correct
48 Correct 497 ms 11712 KB Output is correct
49 Correct 497 ms 11708 KB Output is correct
50 Correct 391 ms 11496 KB Output is correct
51 Correct 405 ms 11492 KB Output is correct
52 Correct 499 ms 11592 KB Output is correct
53 Correct 495 ms 11708 KB Output is correct
54 Correct 392 ms 11656 KB Output is correct
55 Correct 3284 ms 29944 KB Output is correct
56 Correct 6166 ms 36396 KB Output is correct
57 Correct 5292 ms 35992 KB Output is correct
58 Execution timed out 7036 ms 33788 KB Time limit exceeded
59 Halted 0 ms 0 KB -