- Time limit: 1.00 s
- Memory limit: 512 MB
Each applicant has a desired apartment size, and they will accept any apartment whose size is close enough to the desired size.
Input
The first input line has three integers $n$, $m$, and $k$: the number of applicants, the number of apartments, and the maximum allowed difference.
The next line contains $n$ integers $a_1, a_2, \ldots, a_n$: the desired apartment size of each applicant. If the desired size of an applicant is $x$, he or she will accept any apartment whose size is between $x-k$ and $x+k$.
The last line contains $m$ integers $b_1, b_2, \ldots, b_m$: the size of each apartment.
Output
Print one integer: the number of applicants who will get an apartment.
Constraints
- $1 \le n, m \le 2 \cdot 10^5$
- $0 \le k \le 10^9$
- $1 \le a_i, b_i \le 10^9$
Input:
4 3 5
60 45 80 60
30 60 75
Output:
2