Dutch Flat Mates (Sum/Difference Lines)
(Published on 26. February 2025, 11:30 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.)
- Sum/Difference Lines: Each line connecting two circles is a so-called Sum/Difference Line. One of the circled digits indicates the sum of all digits along the line. The other circled digit indicates the difference between the highest and the lowest digit on the line. (Which circle indicates the sum and which the difference has to be determined by the solver. If a circle is bounding multiple lines, it may serve different purposes for those, i.e. it can indicate the sum for one line and the maximal difference of another one.)
Example: A valid line could be 8_152_4 since 1+5+2=8 is the sum and 5-1=4 the maximal difference of the line.
Here you can solve the puzzle online:
Solution code: Row 8 from left to right (9 digits in total)
Comments
on 27. February 2025, 11:20 by Franjo
Sehr clever konstruiert! Die S/D-Linien haben offensichtlich mehr Potential als ich zuerst dachte. Vielen Dank für das tolle Puzzle!
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Sehr gern geschehen, Franjo, vielen Dank für deinen Kommentar! Es freut mich, dass Dir das Rätsel gefallen hat.
Hezliche Grüße, sujoyku
on 26. February 2025, 16:21 by palpot
Lovely puzzle!
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Thank you for your comment, palpot! I am glad you liked it.
Kind regards, sujoyku
on 26. February 2025, 14:56 by anyeyeball
A very nice combination of constraints. Quite fun! Thanks for setting.
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You are much welcome, anyeyeball, thank you for commenting! I am glad you liked the interaction of the constraints.
Kind regards, sujoyku
on 26. February 2025, 14:38 by Flinty
Thank you for a lovely addition to the series!! :)
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You are much welcome, Flinty, thank you for your comment! I always enjoy setting for this amazing series.
Kind regards, sujoyku
on 26. February 2025, 12:27 by da-hans
Very nice series episode with a nice flow after the break-in.
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Thank you for your comment, da-hans! I am glad you enjoyed the flow of the puzzle.
Kind regards, sujoyku
