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Md Ariful Haque @mah-shamim

Magic Squares In Grid: Counting 3x3 Contiguous Magic Square Subgrids

Counting Magic Squares In Grid: Given a grid of integers, find how many 3x3 contiguous magic square subgrids are there. A magic square has rows, columns & diagonals summing to same value with distinct numbers from 1 to 9.

840. Magic Squares In Grid
Medium
Topics: Array, Hash Table, Math, Matrix
A 3 x 3 magic square is a3 x 3 grid filled with distinct numbers from 1 to 9 such that each row, column, and both diagonals all have the same sum.
Given a row x col grid of integers, how many 3 x 3 contiguous magic square subgrids are there?
Note: while a magic square can only contain numbers from 1 to 9, grid may contain numbers up to 15.
Example 1:


Input: grid = [[4,3,8,4],[9,5,1,9],[2,7,6,2]]
Output: 1
Explanation:
The following subgrid is a 3 x 3 magic square:


while this one is not:

In total, there is only one m...