How to Solve Magic Squares In Grid Problem
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Magic Squares In Grid
A 3 x 3 magic square is a 3 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 m...
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Understanding the Magic Squares In Grid Problem
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Problem Statement
A 3 x 3 magic square is a 3 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 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.
Magic Squares In Grid
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Examples
grid = [[4,3,8,4],[9,5,1,9],[2,7,6,2]]
1
The following subgrid is a 3 x 3 magic square: while this one is not: In total, there is only one magic square inside the given grid.
grid = [[8]]
0
Constraints
row == grid.length
col == grid[i].length
1 <= row, col <= 10
0 <= grid[i][j] <= 15
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