Dutch Flat Mates (Chaos Construction Shifter) - Palpot Collab
(Published on 16. October 2024, 11:30 by Flinty)
This is the first Flat Mate released at 4/5 (although Slingshot was upvoted).
This puzzle has been held back until Week 53, as I almost see it as the Final Boss Fight Flat Mate- haha
Normal Chaos Construction rules apply
Each row, column, and to-be-determined 9-cell region contains the digits 1-9 exactly once each.
Dutch Flats
Every 5 in the grid must have a '1' directly above it or a '9' directly below it. It may have both, but it doesn't need both.
Region Indicator Arrows
The digit N on a cell with an arrow, shows that the next N cells, including N, in that direction all belong to the same region. The cell after N cells, if applicable, must belong to a different region.
Shifter lines
Adjacent digits within the same region on a shifter line share both parity (even/odd) AND polarity (low/high).
Whenever the line enters a new region either the parity OR the polarity shifts, never both. Shifter lines can never have 5 on it.
Digits may repeat on lines.
If a line re-enters a region it may take a different polarity/parity than it's first entry.
Special Thanks
Palpot for sharing the workload of setting of this puzzle with me. We both really hope you enjoy it.
gUBBLOR for the Shifter constraint. Puzzle link: Shifter Lines 101: Introduction to Shifter Lines
Thanks in advance Marty_Sears and SamuPiano who will provide the setting guest spots for the next 2 weeks.
To play this weeks Dutch Flat Mates, please click here: Play CTC
Hint to Start
The shifter combinations are very important throughout, and the break in is values for R1C1 and R1C2 that don't make the regions or the shifters sad.
Hint in case you have gone wrogn in the mid to late solve
An error that a few testers made, is assuming R5C8 and R6C8 are the same region, but the region from R5C8 must actually grow right.
Late solve is common Chaos Construction logic, by completing regions with troublesome digits. And don't forget Flat Mates. :)
Example Puzzle
Small example image, covering the basic options for each rule - There are Region Indicator Arrows pointing left under the stacked 6 and 3.
This Weeks Puzzle
Previous puzzles in the Dutch Flat Mates series:
- #01 - 18 Oct 23 - Classic
- #02 - 25 Oct 23 - Thermometers
- #03 - 01 Nov 23 - German Whispers
- #04 - 08 Nov 23 - Region Sum Lines
- #05 - 15 Nov 23 - Sandwich Sums
- #06 - 22 Nov 23 - Little Killer
- #07 - 29 Nov 23 - Kropki
- #08 - 05 Dec 23 - Zipper Lines
- #09 - 12 Dec 23 - Renban - By GoodCity
- #10 - 19 Dec 23 - Nabner - By GoodCity
- #11 - 26 Dec 23 - Skyscrapers - By GoodCity
- #12 - 03 Jan 24 - Dutch Whispers
- #13 - 10 Jan 24 - Killer Cages
- #14 - 17 Jan 24 - Arrows
- #15 - 24 Jan 24 - Ten Lines
- #16 - 31 Jan 24 - 159 Index and Even - By GoodCity
- #17 - 07 Feb 24 - Friendly Cells
- #18 - 14 Feb 24 - Quads
- #19 - 21 Feb 24 - Silent Killer - By GoodCity
- #20 - 28 Feb 24 - XV and Equality
- #21 - 06 Mar 24 - X-Sums
- #22 - 13 Mar 24 - Numbered Rooms - By GoodCity
- #23 - 20 Mar 24 - Diagonal X-Sums
- #24 - 27 Mar 24 - Yin Yang (Neighborhoods) - By Palpot
- #25 - 03 Apr 24 - Hit Points
- #26 - 10 Apr 24 - Counting Circles
- #27 - 17 Apr 24 - XY Difference - By GoodCity
- #28 - 24 Apr 24 - Double Sandwich Sums
- #29 - 01 May 24 - Foggy Knights
- #30 - 08 May 24 - Look and Say Little Killer
- #31 - 15 May 24 - Slingshot - By GoodCity
- #32 - 22 May 24 - 258 Index and Odd
- #33 - 29 May 24 - Rellik
- #34 - 05 Jun 24 - Search 9 - By Palpot
- #35 - 12 Jun 24 - Diagonal Outside
- #36 - 19 Jun 24 - Entropic Snake - Collab with Palpot
- #37 - 26 Jun 24 - Rossini - By GoodCity
- #38 - 03 Jul 24 - Pointer Arrows
- #39 - 10 Jul 24 - Same Difference - by Marty Sears
- #40 - 17 Jul 24 - Battenburg and Average Arrows
- #41 - 24 Jul 24 - Omnipotent Lines - by Sujoyku
- #42 - 31 Jul 24 - Modular Snake
- #43 - 7 Aug 24 - Hot and Cold Lines - by Marty Sears
- #44 - 14 Aug 24 - Minmax Quads - by Sujoyku
- #45 - 21 Aug 24 - Quad Sums - By GoodCity
- #46 - 28 Aug 24 - Entropic Whispers - by gdc
- #47 - 4 Sep 24 - Thripper Lines
- #48 - 11 Sep 24 - Index Lines - by Marty Sears
- #49 - 18 Sep 24 - Kroopki Doots - by Damo_89
- #50 - 25 Sep 24 - Frameless / X-Less X-Sums
- #51 - 02 Oct 24 - Full Rank - By GoodCity
- #52 - 09 Oct 24 - Japanese Sums
Solution code: Row 9
Comments
on 17. October 2024, 16:18 by Franjo
Wonderful puzzle! Very satisfying how the shifter lines lead you through the solve. Thank you very much for creating and sharing this masterpiece.
on 17. October 2024, 04:59 by sorryimLate
This series just keeps delivering! Super interesting combination of rulesets, again, and surprisingly approachable. I feared it would be much tougher when I saw the grid, but the solve path was very well telegraphed. Thank you, Flinty and Palpot!
on 16. October 2024, 22:42 by Voidslime
Such a fun and satisfying solve! I agree with da hans that it unfolds so smoothly. I was never unsure of where to explore next.
on 16. October 2024, 20:28 by da-hans
Great puzzle. Unfolds in a smooth way most of the time. Anyway nice for me to get a 4* puzzle solved
on 16. October 2024, 17:43 by wuc
Awesome cc puzzle. 4 star suits my experience. Great setting. Best in series for me. Thx for sharing.
on 16. October 2024, 15:00 by Flinty
Rule text added for clarity:
"If a line re-enters a region it may take a different polarity/parity than it's first entry."
Link updated. Old link if you want to retrieve progress https://sudokupad.app/uuwyunwfrp
on 16. October 2024, 14:12 by marcmees
Very nice. thanks
Great start of the "new" season. CC is my favorite.
