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This is a Kurotto puzzle.

Rules of Kurotto:

  • Shade some cells to form connected groups of shaded cells.
  • Circled cells are unshaded. If they have a number in them, that number tells you the sum of the sizes of adjacent groups.

An example Kurotto puzzle (on a square grid), and its unique solution:

enter image description hereenter image description here


(In this puzzle, both squares and octagons can be shaded, and each square or octagon counts as a single cell for the number clues.)

enter image description here

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  • $\begingroup$ Can you tell me why there are two occurrences of a circled cell labelled with a zero being adjacent to an unlabelled circled cell? I would have thought it redundant. If not, I don't fully understand the rules. $\endgroup$ – theonetruepath Oct 23 at 5:30
  • $\begingroup$ @theonetruepath Yes, those are redundant - they're there for clue symmetry purposes rather than being required to solve the puzzle. $\endgroup$ – Deusovi Oct 23 at 5:43
  • $\begingroup$ Beautiful puzzle, Deusovi! Incredible! :D $\endgroup$ – Mr Pie Nov 21 at 6:55
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    $\begingroup$ @MrPie Thank you! $\endgroup$ – Deusovi Nov 21 at 6:56
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That was fun. Here's the solution:

enter image description here

The key step that revealed how a lot of things had to be was

finding that the 21-group from bottom left had to extend all the way up to the 24-cell at top right.

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  • $\begingroup$ Great job! Btw how to come up with the deduction of 21-group? $\endgroup$ – athin Oct 23 at 1:12
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    $\begingroup$ @athin There is not enough space for the 24 in the top right to not be connected to the 21-group from the bottom left. $\endgroup$ – w l Oct 23 at 14:32

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