Where are my mates?
(Published on 24. October 2024, 21:24 by sujoyku)
- Normal sudoku rules apply, i.e. each row, column and 3x3 region has to contain the digits from 1 to 9 once each.
- Dutch Flat Mates: Each 5 in the grid either has a 1 directly above or a 9 directly below it. (It may have both, but it does not need both.)
- Outside Sum + Sandwich clues: Each clue outside the grid indicates the sum of all the digits in its row or column up to the first 1 or 9. (The bounding 1 or 9 is not part of that sum.) Moreover, each outside clue is a Sandwich clue, i.e. it indicates the sum of all digits between 1 and 9 in the respective row or column.
Example: A row with an outside clue of 5 could have a valid fill of 231594678 since the cells up to the 1 sum to 2+3=5 and the digits between 1 and 9 sum to 5.
- Arrows: A digit in a cell containing a small blue arrow indicates the distance to the next 1 or 9 in that direction.
Here you can solve the puzzle online:
Solution code: Column 1 from top to bottom (9 digits in total)
Comments
on 25. October 2024, 15:17 by faltenin
Very nice, thank you! Had to keep the different rules in mind :-)
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You are much welcome, faltenin, thank you for your comment! I am glad you liked the puzzle.
Kind regards, sujoyku
on 25. October 2024, 12:11 by samuel1997
Brilliant puzzle! Same as ElimGarak, I forgot that too until I read the rules again...
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Thank you for commenting, samuel1997! As I replied below, forgetting about the Dutch Flat Mates has happened to me a lot as well. I hope you had an enjoyable solve.
Kind regards, sujoyku
on 25. October 2024, 10:33 by Franjo
Eine besonders hübsche Zwischenmahlzeit! Vielen Dank dafür.
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Danke für deinen Kommentar, Franjo! Es freut mich, dass dir das Rätsel gefallen hat.
Herzliche Grüße, sujoyku
on 25. October 2024, 10:30 by ElimGarak
Got stuck because I forgot about the Dutch Flat Mates rule...
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Thank you for your comment, ElimGarak! I feel you. Before I started setting with the DFM constraint myself, that was a returning oversight I had in many puzzles. I hope you had a fun solve anyhow.
Kind regards, sujoyku
on 24. October 2024, 23:37 by arbitrary
Wonderful puzzle. The execution of combining these constraints is great. Thanks!
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You are much welcome, arbitrary, thank you for commenting! I am glad that you enjoyed this combination of constraints.
Kind regards, sujoyku
on 24. October 2024, 23:13 by wuc
Refreshing ruleset. Smooth solve path. Thx for sharing.
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You are much welcome, wuc, thank you for your comment! I am glad that you liked the ruleset and had a smooth solve. I think it is interesting how forceful especially the outside clues prove to be.
Kind regards, sujoyku
