Given two arrays A and B, both consisting of n integers, and an integer x. Count the number of pairs i,j such that Ai+Bj=x.
### Input
- The first line consists of two integers n,x.
- The second line contains n integers Ai.
- The third line contains n integers Bi.
### Output
- Output an integer as the answer.
### Constraints
- 1≤n≤105.
- 0≤|Ai|,|Bi|,x≤109.
### Sample test
Input
56123910-35321
Output:
3