Squares Counting

You are given a binary square matrix $A$ of size $N \times N$. Let the value at cell $(i, j)$ be denoted by $A(i, j)$. Your task is to count the number of *square frames* present in the grid. A *square frame* is defined to be a square submatrix of $A$ whose border elements are all '1'. Formally, - A square submatrix of $A$ of size $k$ with top-left corner $(i, j)$ is defined to be the set of ce