Modesty (Equalines Sudoku)
(Published on 21. February 2023, 09:16 by Mad-Tyas)
What is the minimum number of cells on lines required to achieve a unique solution with this ruleset?
This puzzle is the result of a long, intense search and uses only 31 cells on lines. It offers a completely logical and varied solution path.
The puzzle is created without computer support and therefore probably does not show the actual minimum. I would be happy if someone feels challenged and tries to beat my 31 ;-)
Rules:
Sudoku: Fill every row, column and marked 3x3 box with the digits 1-9.
Equalines: On each line the digits add up to the same total that has to be determined by the solver. Digits may repeat on a line if allowed by sudoku rules.
Have fun solving!
Solution code: Row 1 followed by column 1 (18 digits)
Comments
on 20. March 2023, 15:23 by Bankey
Fun puzzle. Thanks, @ Mad-Tyas :)
on 23. February 2023, 23:33 by econtrout
Solid from back to front...some nice logic. Thanks for the great puzzle.
on 23. February 2023, 20:26 by DaniK
Awesome puzzle. Very challenging and certainly a lot of fun!
on 23. February 2023, 04:37 by Agent
Very nice and well-crafted puzzle!
-Reply: Thank you, Agent! I appreciate your solve and comment.
on 22. February 2023, 15:16 by ViKingPrime
Wonderful as always! A bit tricky to unwind at the end but every deduction felt earned. A solid puzzle through and through.
-Reply: Thank you for solving and the kind comment, ViKingPrime.
on 21. February 2023, 19:31 by Playmaker6174
What a super elegant puzzle for such seemingly minimal design! The moment that I could finally deduce the total was certainly the best part of the solve :)
-Reply: Thank you for this nice comment, Playmaker! I'm glad you enjoyed the puzzle.
on 21. February 2023, 12:12 by pepe74287
Relly enjoyed it, thanks.
-Reply: I'm glad you enjoyed it. Thanks for solving!
on 21. February 2023, 11:42 by Elliott810
Another brilliant puzzle of yours! Really impressive. Thanks:)
-Reply: Thanks Elliot! I appreciate your solve and comment.
