Submission #855281

# Submission time Handle Problem Language Result Execution time Memory
855281 2023-10-01T04:56:59 Z willychan Chorus (JOI23_chorus) C++14
40 / 100
7000 ms 604 KB
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
//#include<bits/extc++.h>
//__gnu_pbds
const int N = 5005;
pair<ll,int> dp[N];
int Bpa[N];
ll Bpasum[N];
int n,K;

ll cost(int i,int j){
	int l = i-1;
	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+1;
	ll ans = Bpasum[l]-Bpasum[i-1];
	return cnt*j-ans;	
}

bool ok(int v){
	for(int i=0;i<=n;i++) dp[i] = {1e18,0};
	dp[0]={0,0};
	for(int i=1;i<=n;i++){
		for(int j=1;j<=i;j++){
			dp[i] = min({dp[i-j].first+cost(i-j+1,i)+v,dp[i-j].second+1},dp[i]);
		}
	}
	//cout<<(dp[n].second<=K)<<" "<<dp[n].first<<" "<<v<<"\n";
	return (dp[n].second<=K);
}
 
int 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 = 1e9;
	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;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 9 ms 348 KB Output is correct
18 Correct 86 ms 452 KB Output is correct
19 Correct 83 ms 444 KB Output is correct
20 Correct 91 ms 448 KB Output is correct
21 Correct 90 ms 444 KB Output is correct
22 Correct 90 ms 452 KB Output is correct
23 Correct 87 ms 344 KB Output is correct
24 Correct 85 ms 444 KB Output is correct
25 Correct 87 ms 344 KB Output is correct
26 Correct 89 ms 344 KB Output is correct
27 Correct 86 ms 348 KB Output is correct
28 Correct 85 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 9 ms 348 KB Output is correct
18 Correct 86 ms 452 KB Output is correct
19 Correct 83 ms 444 KB Output is correct
20 Correct 91 ms 448 KB Output is correct
21 Correct 90 ms 444 KB Output is correct
22 Correct 90 ms 452 KB Output is correct
23 Correct 87 ms 344 KB Output is correct
24 Correct 85 ms 444 KB Output is correct
25 Correct 87 ms 344 KB Output is correct
26 Correct 89 ms 344 KB Output is correct
27 Correct 86 ms 348 KB Output is correct
28 Correct 85 ms 348 KB Output is correct
29 Execution timed out 7017 ms 604 KB Time limit exceeded
30 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 9 ms 348 KB Output is correct
18 Correct 86 ms 452 KB Output is correct
19 Correct 83 ms 444 KB Output is correct
20 Correct 91 ms 448 KB Output is correct
21 Correct 90 ms 444 KB Output is correct
22 Correct 90 ms 452 KB Output is correct
23 Correct 87 ms 344 KB Output is correct
24 Correct 85 ms 444 KB Output is correct
25 Correct 87 ms 344 KB Output is correct
26 Correct 89 ms 344 KB Output is correct
27 Correct 86 ms 348 KB Output is correct
28 Correct 85 ms 348 KB Output is correct
29 Execution timed out 7017 ms 604 KB Time limit exceeded
30 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 9 ms 348 KB Output is correct
18 Correct 86 ms 452 KB Output is correct
19 Correct 83 ms 444 KB Output is correct
20 Correct 91 ms 448 KB Output is correct
21 Correct 90 ms 444 KB Output is correct
22 Correct 90 ms 452 KB Output is correct
23 Correct 87 ms 344 KB Output is correct
24 Correct 85 ms 444 KB Output is correct
25 Correct 87 ms 344 KB Output is correct
26 Correct 89 ms 344 KB Output is correct
27 Correct 86 ms 348 KB Output is correct
28 Correct 85 ms 348 KB Output is correct
29 Execution timed out 7017 ms 604 KB Time limit exceeded
30 Halted 0 ms 0 KB -