Leetcode Problem 1240. Tiling a Rectangle with the Fewest Squares

1240. Tiling a Rectangle with the Fewest Squares

Leetcode Solutions

If the rectangle is already a square (n == m), return 1 since only one square is needed.
If one of the dimensions is 0, return 0 as no squares are needed.
If the length is 1, return the other dimension as the answer since we'll fill the rectangle with 1x1 squares.
Initialize a memoization table to store the results of subproblems.
Define a recursive function that takes the current dimensions of the rectangle to be filled.
If the result for the current dimensions is already computed, return it from the memoization table.
Try placing squares of all possible sizes starting from the largest that fits to the smallest (1x1).
After placing a square, recursively call the function for the remaining unfilled areas.
Update the memoization table with the minimum number of squares found.
Return the result from the memoization table for the original dimensions.

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