Pairs With Given Sum In Two Sorted Matrices

easy
1. You are given a number N and two sorted matrices(A and B) of N*N dimensions.
2. You are also given a number X.
3. You have to find the count of all valid pairs from matrices whose sum is equal to X.
4. A pair is called valid if one element of the pair is selected from A and the second element is selected from B.

Input Format

A number N A1 A2.. N*N numbers B1 B2.. N*N numbers

Output Format

A number representing the count of all valid pairs.

Constraints

1 <= N <= 10^3
-10^3 <= elements of matrices <= 10^3

Example

Input
3
1 5 6
8 10 11
15 16 18
2 4 7
9 10 12
13 16 20
21
Output
4
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