Chaos Deconstruction: Position Sums
(Published on 29. June 2022, 16:05 by KNT)
A number placed on a cell with an arrow indicates the total number of empty cells in the direction of that arrow. A cell with an arrow must not be empty.
An inner outside clue indicates the sum of the first two numbers seen when looking into the grid from the location of the clue. We call those two numbers A and B. An outer outside clue indicates the sum of the numbers in the Ath and Bth cells when looking into the grid from the location of the clue. If an outer outside clue is present, it guarantees the Ath and Bth cells are nonempty.
If an outside clue is colored, then the summed cells belong to the same region. If an outside clue is not colored, then the summed cells belong to different regions. A question mark may be any positive integer.
Solution code: Row 6 followed by Column 6, ignoring blank cells
Comments
on 21. April 2024, 01:45 by The Book Wyrm
Very fun puzzle!
Not too difficult, but a lot of fun logic. Pretty interesting clues that I haven't seen before, but enjoyed. Definitely enjoyed all the weird regions shapes as well.
on 3. March 2024, 00:50 by Tacosian
Wonderful puzzle!
on 24. February 2024, 23:48 by Myxo
Very cool!
on 1. October 2023, 19:23 by StephenR
What a masterful puzzle. Incredibly intricate and well constructed. I broke it the first time, came back to it a week or so later, got quite a long way in before breaking it again. Then I realised my mistake - a rash assumption as usual - and was able to backtrack a little. Thanks KNT.
on 22. August 2023, 17:15 by ibag
Auch wieder große Klasse!
on 19. October 2022, 15:28 by Mody
Großartig und ausgesprochen kniffelig.
Great and extremely tricky.
on 1. October 2022, 00:18 by Christounet
What a great puzzle ! Remembered me a puzzle by Jesper I think, but with a hint of KNTesque flavour here and there. Had to remind myself several times that A+B didn't have to be orthogonally adjacent...
on 2. July 2022, 00:13 by cdwg2000
Fantastic!
on 1. July 2022, 18:19 by KNT
Thank you all for the nice comments! I intend to make more Chaos Deconstructions in the relatively near future :)
on 1. July 2022, 18:03 by wenchang
It is a very nice puzzle. I have recorded a video on solving this. Here is the link. KNT: if you don't like this, delete the comment and let me know. I will not post again for your future games.
https://youtu.be/6TetUlJqEKc
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I don't mind at all- in fact I welcome any and all of your solve videos in comments. They are a joy to watch.
on 30. June 2022, 12:36 by Vebby
Superb! Loved the creative ruleset and the region geometry. Thanks KNT! :)
on 30. June 2022, 07:28 by marcmees
Very nice... smooth solve the second attempt :-). thanks
on 30. June 2022, 06:39 by henrypijames
Extremely easy puzzle - to make one mistake after another. :D
on 30. June 2022, 05:47 by jovi_al
good puz, my first proper KNT solve. enjoyed a lot <3
on 29. June 2022, 23:46 by Jesper
Wonderful! So enjoyable to work it out, step by step.
on 29. June 2022, 22:58 by KNT
Fixed ANOTHER typo in the example image. Today just isn't my day it seems...
on 29. June 2022, 22:47 by MagnusJosefsson
Great puzzle! Very clever clear but narrow solution path.
on 29. June 2022, 22:17 by KNT
Fixed typo in example image
on 29. June 2022, 20:39 by Steven R
Had a lot of fun getting to grips with this puzzle, there's a lot going on in there. Thanks! :)
on 29. June 2022, 20:38 by Niverio
Very nice puzzle! I cannot believe this ruleset, which sounds dumb at first, can create such unique logic!
on 29. June 2022, 20:14 by PixelPlucker
This is like trying to do Position Sums after getting bonked very hard on the head
Delightful puzzle, very clever and intentional all the way through. Thanks!
on 29. June 2022, 18:50 by KNT
Updated rule 2.
on 29. June 2022, 18:50 by KNT
@bansalsaab, no an arrow cell cannot be empty.
@dandbdi. the regions themselves must be orthogonally connected (like in a normal chaos construction). There is no restrictions about where they are in relation to each other, as you can see in the example grid.
on 29. June 2022, 18:15 by dandbdi
[1. ..., and regions are orthogonally connected.]
Between each other (the example does not satisfy this), or does it just mean that "a single region consists of orthogonally connected cells"?
on 29. June 2022, 18:06 by bansalsaab
Hi KNT, can an arrow cell be empty?
