Chaotic Chess
(Published on 30. May 2025, 22:09 by Belamis)
Chaos Construction: Divide the grid into regions, each consisting of nine orthogonally connected cells. Each row, column and region contain the digits 1-9 once each.
Killer: Digits do not repeat in cages, and sum to the small clue in the top left corner if given.
Each cage contains exactly 1 region.
The digit in the top-left cell in a region (Leftmost cell in the top row) counts the number of cells a knights move away that share a region with that cell.
In addition, the top-left cell in a region counts the number of cells a bishops move away that share a region with that cell (Not counting the cell itself, and where other regions block view).
Solution code: Row 8, with a - between region borders
Comments
on 2. June 2025, 21:36 by saturnic
I seem to be stuck: the 21 cage the minimum digit i can place in the top-leftmost cell is a 4, which (in my logic) means that i need to add four knights move cells + four bishop move cells + this inicial cell with a 4, completing the 9 cells i need, but i can't see how to orthogonally connect them, i always need at least one more cell. Am i missing something? this is a very interesting puzzle to me and i would like to be able to approach it. Thanks in advance
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Correct - The lowest digit in the 21 cage is 4, meaning that none of those 3 cells may be the top left cell of the region they belong to. I am not sure where you are up to, but a hint for starting is to find a cell that needs to be the top left of it's region. Hope you enjoy :)
on 31. May 2025, 20:40 by Nylimb
Thanks for a great puzzle! I found it to be not too difficult, once I realized that "each cage contains exactly 1 region" actually means that each cage is contained in a single region.
on 31. May 2025, 11:06 by Snookerfan
Brilliant puzzle! Lovely break-in, smooth afterwards. Thank you
on 31. May 2025, 10:01 by erml
So many beautiful deductions, thank you!
on 31. May 2025, 07:13 by marcmees
some nice chess logic for a smooth cc construct. thanks
on 30. May 2025, 23:30 by krytolandros
Great puzzle! Smooth logic that was never too hard. 4* in difficulty for me.
