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Answer by Smylic for Minimum Number of Rectangles Needed to Cover a set of...

This is the Rectilinear Picture Compression problem that is known to be NP-hard (see textbook Computer and Intractability, a guide to the theory of NP-completeness by Garey and Johnson, p. 232, SR25)....

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Minimum Number of Rectangles Needed to Cover a set of square in an $\text{N}...

There is an $\text{N} \times \text{N}$ grid of squares. Some arbitrary subset of those squares must be covered by some number of rectangles (a given square must be covered entirely by one rectangle,...

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