Dutch Flat Mates: Tenable (palpot collab)
(Eingestellt am 9. Juli 2025, 11:30 Uhr von 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.
To play the puzzle, please click the image:
Hollow Line Version: Puzzle Link
Simple Aesthetics Version: Puzzle Link
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.
'Tenable' (named after the original puzzle)
Divide each line into one or more segments containing values that sum to a multiple of 10, so that every cell on a line is part of exactly one segment. A value in a circle indicates the number of segments on its line (for counting purposes, lines are divided into the smallest possible increments, e.g. a 1-9-2-8 line is considered two segments, not one; also, counting starts from the end of the line, e.g. a 2-1-9-8 line is considered one segment).
Example image:
The hollow lines were suggested by ChinStrap to allow use of the pen tool as seen in this example.
Hint to start
The circles in Row 3 are limited by line length. Flat mates in Box 2 is useful to consider.
Special Thanks
This puzzle is inspired by the wonderful James Sinclair puzzle Tenable. That puzzle is a very rewarding solve but please note the step up in difficulty due to S-Cells.
Thank you to palpot (whose pot?) for collaborating on the setting of this puzzle.
Lösungscode: Digits in Column 1 (top to bottom)
Kommentare
am 25. Juli 2025, 12:51 Uhr von JoBerlin
I kept getting stuck in the beginning, running into seeming contradictions - just because my brain kept forgetting a segment could not just be 10 but also any multiple of it... Once I finally managed to keep hold of that idea it was a beautiful (though difficult) solve. Thanks <3
am 15. Juli 2025, 20:39 Uhr von dzamie
Wound up guessing on the box 5 circle, based on assuming that the other option would be too complex to work out even for this puzzle. Got lucky :P
Really neat how the rulesets play together a little. I don't usually like Dutch Flats puzzles, but it took a more minor role here, which was nice.
am 15. Juli 2025, 17:41 Uhr von PancakePie
Beautiful! When I got closer to the end, I got giddy with anticipation. Thank you for making this!
am 11. Juli 2025, 17:03 Uhr von jwsinclair
Enjoyed this a lot! Some very clever uses of the line rule :)
am 10. Juli 2025, 10:05 Uhr von sorryimLate
I would definitely share a flat with this mate! I've met them all and this one was one of the nicest (and they've all been very nice). Thank you for introducing!
am 9. Juli 2025, 15:35 Uhr von da-hans
Again a very interesting puzzle.
am 9. Juli 2025, 14:41 Uhr von Franjo
After a quite easy start it soon became hard to find the next steps. (Well, for me at least.) In the end I was exhausted and satisfied having solved lots of arithmetic exercises… Thank you very much for creating and sharing this puzzle.
am 9. Juli 2025, 14:40 Uhr von sujoyku
Incredible setting! Thank you for this treat, Flinty and Palpot!
am 9. Juli 2025, 14:34 Uhr von AkatsukiChiri
An interesting rule I have never met！！
am 9. Juli 2025, 12:55 Uhr von marcmees
One of the more challenging DFM's of the series. Very nice. Thanks
