Chaos Shikaku
(Published on 30. May 2022, 03:26 by KNT)
Divide the grid entirely into rectangles such that each rectangle contains exactly one colored cell, which contains the size of the rectangle. Numbers must not repeat in a rectangle.
If a white dot falls on the border between two rectangles, then the sums of the numbers within the two rectangles are consecutive. If a black dot falls on the border between two rectangles, then the sums of the numbers within the two rectangles are in a 1 to 2 ratio.
If a white dot does not fall on the border between two rectangles, then the two numbers it separates are consecutive. Likewise, if a black dot does not fall on the border between two rectangles, then the two numbers it separates are in a 1 to 2 ratio.
Not all possible dots are necessarily given.
A 1-6 example is provided.
Solution code: Row 6
Comments
on 24. March 2023, 01:52 by codewizard
Sweet. I REALLY struggled to get started on this, spent about an hour staring and getting nowhere, then once I got a foot in it started to unravel quite nicely :) Some really good and surprising logic in here.
on 14. September 2022, 04:34 by wooferzfg
Really fun! I liked the break-in.
on 18. June 2022, 14:18 by StephenR
Lovely stuff, thanks. Flowed very nicely, by and large.
on 14. June 2022, 16:59 by Christounet
Very nice Shikaku ! Well laid break in with multiple use clues at the start ! Loved it !
on 6. June 2022, 20:03 by lerroyy
Very nice puzzle, thanks KNT!
on 2. June 2022, 19:08 by LittleBallOfPurr
Beautiful puzzle, thanks KNT, really enjoyed this one!
on 2. June 2022, 10:16 by marcmees
nice. thanks.
on 30. May 2022, 21:33 by Jesper
Great puzzle, thanks!
on 30. May 2022, 13:53 by Vebby
Lovely concept and execution! Thanks KNT :)
on 30. May 2022, 13:33 by Tilberg
Thanks! Nice puzzle. I actually didn't need the white dot between columns 8 and 9.
on 30. May 2022, 12:13 by Niverio
Lovely puzzle, not too difficult.
on 30. May 2022, 11:55 by twobear
Lovely and well crafted puzzle. Thank you!
on 30. May 2022, 07:50 by kolot
Fun puzzle with some beautiful deductions.
on 30. May 2022, 07:21 by RJBlarmo
Great puzzle, enjoyed how nicely a lot of the opening logic worked out.
on 30. May 2022, 05:24 by KNT
Clarification: No negative constraint
on 30. May 2022, 05:16 by twobear
Just to make sure, no negative constraints?
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Ah- I should have clarified. Yes. Not all dots are given. Thank you for that, twobear.
on 30. May 2022, 04:48 by KNT
Accidentally activated this puzzle for about 30 seconds at 3:26 when the LMD page was still a WIP. Re-activated at 4:48 when everything was finalized.
