Logic Masters Deutschland e.V.

Dutch Flat Mates: Parity Islands

(Published on 10. June 2026, 07:00 by Flinty)

Previous Dutch Flat Mate Puzzles
This has been a weekly series since '18 Oct 23'. Here is a spreadsheet link for all the previous puzzles in the series, which also has a few teasers for upcoming constraints/guest setters in the series (subject to change).
This alternative link offers a limited LMD search for Dutch Flat Mates.

Special Thanks
The original inspiration for this puzzle was Borderland (3/5) by Richard.
Following chats with gdc and palpot about how best to present this puzzle, I finally settled on this title, version and rules; which is closer to the following puzzles:
- The Big Beach Parity (1/5) by gdc, and,
- Parity Islands (3/5) by yttrio

To play the puzzle, please click the image:


Puzzle Link: Click Here

Initial Setter Difficulty: 2.5-3 / 5

Normal Sudoku rules apply
Place the digits 1-9 so that they do not repeat in any row, column, or 3x3 box.

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.

Parity Islands
Orthogonally connected groups of cells with the same odd/even parity are called 'islands'. A digit in a circle counts the number of cells in its island. Islands may have multiple circles. Not all possible circles are necessarily given.

Hint to start

I would recommend colouring parity. Keeping circles apart that are in the same row, column or box is important, otherwise they would need to be the same value/digit. 1 (odd) in Row 8 is the only Flat Mate for 5 (odd) in Row 9 - this impacts circle options in Row 8.

Visual Rules Example:


Solution code: Row 1 Digits

Last changed on -

Solved by OJPS, damo_89, lars, Elliott810, Piatato, mathics, tuturitu, japanoise_breakfast, NEWS, Crusader175, galium_odoratum, schnitzl, Franjo, Bjd, palpot, Gribba Bibba, aqjhs, SennyK, gdc, olliwright, ... KirkFox, BaumJames, willman12345, QuiltyAsCharged, Allagem, chinesemaster, benisjammin, misko, TwinSetter, Gnubeutel, SweJo, Bathroomking, goodcity, lapazhu, SeveNateNine, Reina, kangaroo, raaaaa
Full list

Comments

on 14. June 2026, 20:07 by QuiltyAsCharged
There's a nice variety in the deductions needed at various steps. An excellent puzzle!

on 13. June 2026, 07:55 by fractalminding
cool sudoku ♥️

on 10. June 2026, 19:49 by da-hans
Very nice puzzle

Last changed on 10. June 2026, 19:37

on 10. June 2026, 19:35 by Qodec
Puzzle of the year (so far) for me. I wish I could set something like this. What a gem!

(Edit: high5 @galium_odoratum)

on 10. June 2026, 17:50 by pmays123
Beautiful puzzle. Very fun to solve. Thanks!

on 10. June 2026, 16:15 by Snookerfan
Great puzzle with some brilliant steps. Those steps were 3-4 stars, my solve time overall was 2, so 2.5 to 3 stars for difficulty, 5 for beauty. Thanks

on 10. June 2026, 12:44 by Franjo
Thank you very much for creating and sharing another beautiful DFM-puzzle. Wish there were more Parity Islands puzzles!

on 10. June 2026, 11:49 by galium_odoratum
Step 1: Reading the DFM-rule.
Step 2: Reminding myself to not forget the DFM-rule.
Step 3: Forget about the DFM-rule anyway and getting stuck.
Step 4: Reading the rules again to remember the DFM.
Step 5: Solving a very smooth and beautiful puzzle, thank your for setting this gem.
Step 6: Add it to my favourites.

on 10. June 2026, 11:30 by Crusader175
Fun puzzle!

on 10. June 2026, 09:21 by Piatato
Smooth!

on 10. June 2026, 09:08 by Elliott810
Brilliant puzzle! Thank you:)

Difficulty:3
Rating:94 %
Solved:75 times
Observed:0 times
ID:000T4R

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Solution code:

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