Ménage à Trois
(Published on 5. December 2023, 05:16 by Die Hard)
Rules
Normal sudoku rules apply. Digits must not repeat on the marked diagonal. Digits in cages must sum to the cage total. Each N-sum line can be divided into two or more non-overlapping groups of adjacent digits that sum to N. No two lines have the same value for N.
Play on SudokuPad
Please leave a comment if you complete this puzzle.
Solution code: The 9 digits from row 1.
Comments
on 23. December 2023, 18:16 by madhupt
A marvellous puzzle! So elegant and smooth. Thanks for sharing.
on 7. December 2023, 16:42 by GertVonnegut
This is a GREAT puzzle. Think I found the path early so it felt like the logic progressed straight through. Thanks so much for setting!
Die Hard: Thank you - I'm glad you enjoyed it.
on 6. December 2023, 18:28 by PierreTombal
Excellent setting. Not too hard and no notes required, unless you count a little Goodliffing as making notes. I'll bet Simon will love it as much as I did.
Die Hard: Thank you. It was both fun and a challenge to come up with the opening and to link it to the finale.
on 6. December 2023, 12:05 by Die Hard
Updated link to fix name.
on 6. December 2023, 08:20 by Norkas
Very nice flow to this puzzle.
on 6. December 2023, 04:25 by cam
Awesome puzzle! While I understand the comments and don't disagree, I was able to do this without taking notes and felt it followed a really nice logical progression that didn't require any extreme excursions. It was a very nice puzzle! It felt nice each time I figured out the next step :)
Die Hard: That's great! thanks.
on 6. December 2023, 00:54 by Jorrr2
Nice, very happy with my (sort of quick) solve. Cool puzzle!
on 5. December 2023, 18:59 by SenatorGronk
Really liked this, though I think it definitely helps to write down some notes to keep the possibilities straight.
Die Hard: I know there are definitely people (like Simon+Mark) who can do these sums in their heads with ease. However, I'm with you. And there were a LOT of notes used when creating this puzzle.
on 5. December 2023, 17:56 by samuel1997
Super cool puzzle!
Die Hard: Thank you - I am glad you enjoyed it.
on 5. December 2023, 17:15 by SparkNights
Hello~ I have a question. If an N-sum line could be divided into 4 segments of N=9, The line can be definitely regard as 2 segments of N=18. Then, which N should I choose? or, If the line existed, could I let another line to have an N of 9 or 18?
Die Hard: If the line existed, I would suggest it would NOT be OK to have another line with N=9 or N=18. However, at the risk of giving a potential clue, I think the simplest answer is that you won't face this dilemma in solving the puzzle logically.
on 5. December 2023, 11:24 by rameshsrivats
Super puzzle. Engaging all the way.
Die Hard: Thank you - I am glad you enjoyed it. It was certainly an interesting puzzle to set.
on 5. December 2023, 11:20 by Snookerfan
Lovely puzzle! After a tricky break-in it flowed really nice. Thank you
Die Hard: Thank you. Yes, this puzzle was definitely built from the break in and the challenge of designing an opening with this core ruleset and no givens. Then I worked on making it unique, solvable, and hopefully enjoyable.
