**Problem Description**

Given a 2D integer matrix **A** of size `N x N`

find a `B x B`

submatrix where B<= N and B>= 1, such that **sum of all the elements in submatrix is maximum**.

1 <= N <= 10^{3}.

1 <= B <= N

-10^{2} <= A[i][j] <= 10^{2}.

First arguement is an 2D integer matrix **A**.

Second argument is an integer **B**.

Return a single integer denoting the maximum sum of submatrix of size `B x B`

.

Input 1:

A = [ [1, 1, 1, 1, 1] [2, 2, 2, 2, 2] [3, 8, 6, 7, 3] [4, 4, 4, 4, 4] [5, 5, 5, 5, 5] ] B = 3

Input 2:

A = [ [2, 2] [2, 2] ] B = 2

Output 1:

48

Output 2:

8

Explanation 1:

Maximum sum 3 x 3 matrix is 8 6 7 4 4 4 5 5 5 Sum = 48

Explanation 2:

Maximum sum 2 x 2 matrix is 2 2 2 2 Sum = 8

NOTE:You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a doubt? Checkout Sample Codes for more details.

- Hint 1
- Solution Approach
- Complete Solution

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