Monday, October 19, 2020

Puzzlerium tour: Paint by Neighbor

For any interested readers: The POC will return tomorrow. More details have been published earlier.

This puzzle was originally titled "Covalency", before I reminded myself that I should be using more "appropriate" titles and themes to not give a chance to problem creators. 

Memorizing the Pentomino (and tetromino) shapes helps a lot with these puzzles and today's puzzle is no exception. Paint by Neighbor is however different, in that, it goes a step further on this and requires one to also mind how many "neighbors" each of the shapes' unit squares have. 

The endearing introductory puzzle uses Tetromino shapes (one set of five unique shapes). Second, to be published tomorrow, will use Pentomino shapes.



RulesShade in some cells such that all of the shaded cells form the given shapes, without repetition, and with rotation and reflection allowed. All shapes must be used. Shapes cannot be orthogonally adjacent to each other. In the end, all unshaded cells must be connected in a single group through other unshaded cells. Numbers outside the grid tell that the corresponding row or column contains at least 'n' shaded cells in the given order, each orthogonally adjacent to as many shaded cells as indicated by the number, where 'n' is the number of clues outside. There can be no other shaded cell in between the cells described by the clues. However, there could be more shaded cells before and after, not described by the clue.

About Paint by Neighbor: Paint by Neighbor was invented by Anurag Sahay.

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