Chaos Construction: Numbered Regions #2
(Published on 2. October 2022, 15:14 by Jesper)
Rules
Divide the grid into regions, each consisting of nine orthogonally connected cells. Each row, column and region must contain the digits 1 to 9 once each.
The digit in the top-left cell of a region (its leftmost cell in its highest row) is its region number. All region numbers are different.
The small given number in the corner of a cage is the sum of all digits in the cage, plus the sum of the region numbers of all regions represented therein. Note that each region number is counted only once, regardless of how many cells of the region are present in the cage. Digits in cages cannot repeat.
Example (6x6)
The region numbers are marked with dashed circles.
Penpa+: Example (6x6)
The puzzle follows:
Penpa+: Chaos Construction: Numbered Regions #2
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Solution code: Row 8 followed by row 9
Comments
on 2. November 2023, 13:54 by wullemuus
This was indeed trickier than #1 (esp. r3 and 24 in c4- wow)! The cages were wisely chosen. I wished I'd seen the link to the CTC App earlier, it would have speeden up the whole thing enormously ... . But anyway- great work!
on 11. October 2023, 13:00 by Snookerfan
Excellent! Thank you
on 11. May 2023, 04:55 by dennischen
Beautiful.
on 6. May 2023, 11:55 by widjo
An absolute joy to solve, from start to finish
on 10. January 2023, 05:17 by karlmortenlunna
What a puzzle! WOW
on 31. October 2022, 20:46 by StephenR
Amazing puzzle, and one of my most personally satisfying solves for ages because I broke it quite near the end, backtracked to a point where I thought I might have taken a leap, found out my logic there was sound but I had made a stupid mistake later on. Great fun, thanks.
on 20. October 2022, 11:20 by Phistomefel
A beautiful puzzle and to my surprise it is by far not as difficult as I thought. Thank you so much for setting this beauty, Jesper!
on 16. October 2022, 20:56 by peacherwu2
Genius setup.
on 9. October 2022, 01:11 by Agent
Outstanding puzzle! Tough start and relatively smooth afterwards.
on 6. October 2022, 22:27 by Dandelo
Very good.
If there are problems with penpa, you can ask Swaroop, he reacts immediately. But removing all notes outside the grid and then removing all extra rows and columns usually makes the solution check work.
on 6. October 2022, 11:08 by Christounet
Amazing logic through the whole puzzle ! The first sequence was epic. The vertical 24 cage was very satisfying and thrilling as I thought I had broken it until I understood how it held so tightly! I'm impressed that you managed to get 2 very different puzzles with the same new rule as a basis. Thanks !
on 4. October 2022, 21:19 by Jesper
Thanks for the wonderful comments @Vebby @SenatorGronk @KNT @Piatato @Magnus @marcmees @thoughtbyte @Xendari @Niverio @polar @bansalbaab @filuta @jwsinclair
on 4. October 2022, 19:30 by jwsinclair
Wow! Outstanding puzzle. Very difficult, and yet I was fully confident I was on the right track the whole time (a rare combination), which I think speaks to how precisely-constructed it is.
Also, thanks, Xendari, for the SudokuPad link.
on 4. October 2022, 13:08 by filuta
really cool ruleset (and the puzzle too), thanks!
on 4. October 2022, 04:41 by bansalsaab
Very nice follow up to your ladt weeks puzzle jesper
on 3. October 2022, 21:15 by polar
Lovely as always! Thank you Jesper :)
on 3. October 2022, 18:21 by Niverio
Very nice! Super smooth logic.
on 3. October 2022, 09:41 by Xendari
That was a really enjoyable solve, the logic flowed amazingly - although the ruleset made me think I had broken the puzzle quite a few times. Thank you very much for setting and sharing!
I solved this using sudokupad, if anyone else would like a link: https://tinyurl.com/yeyt3jtc
on 3. October 2022, 01:34 by thoughtbyte
Wonderful puzzle, such a different and really fun use of your numbered regions idea. Masterful. Thanks Jesper!
on 2. October 2022, 23:08 by marcmees
great puzzle. thanks.
on 2. October 2022, 22:33 by MagnusJosefsson
I tested this for Jesper and found it a really fun and satisfying puzzle with a smooth well-guided path.
on 2. October 2022, 18:06 by Piatato
Amazing puzzle! So much incredibly elegant and fun logic throughout!
on 2. October 2022, 18:03 by KNT
Not to my surprise, a fantastic puzzle
on 2. October 2022, 17:50 by SenatorGronk
Fantastic!
on 2. October 2022, 17:19 by Vebby
Masterful setting to produce such enjoyable logic with clean design. A great exposition of the ruleset. Thanks Jesper! :)
