There are applicants and free apartments. Your task is to distribute the apartments so that as many applicants as possible will get an apartment.
Each applicant has a desired apartment size, and they will accept any apartment whose size is close enough to the desired size.
The first line has three integers and — the number of applicants, the number of apartments, and the maximum allowed difference.
The next line contains integers — the desired apartment size of each applicant. If the desired size of an applicant is , he or she will accept any apartment whose size is between and .
The last line contains integers — the size of each apartment.
Print one integer — the number of applicants who will get an apartment.