oj.uz

Submission #855336

# Submission time Handle Problem Language Result Execution time Memory
855336 2023-10-01T05:53:01 Z willychan Chorus (JOI23_chorus) C++14
87 / 100
 574 ms 12540 KB 
#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

# Verdict Execution time Memory 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

# Verdict Execution time Memory 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

# Verdict Execution time Memory 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

# Verdict Execution time Memory 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

# Verdict Execution time Memory 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 -