Logic Masters Deutschland e.V.

Something something lines

(Published on 7. September 2024, 08:56 by filuta)

Huge thanks to Bootenks, lmdemasi, henrypijames and Piatato for testing and feedback on either version of this puzzle.

Enjoy!



Rules:

-(sudoku) Place digits 1 to 9 each once in every row, column and 3x3 box.
-(lines) Each line is (at least) one of the following - region sum line, row sum line, or column sum line - i.e. it has the same sum in either all boxes, all rows or all columns it visits. Which rule applies to which line must be deduced.

example: for instance the line that goes through boxes 4, 7 and 8 satisfies (at least) one of the following:
- r6c1+r6c3 = r7c2+r7c3 = r8c3+r8c4 (row sum line)
- r6c1 = r7c2 = r6c3+r7c3+r8c3 = r8c4 (column sum line)
- r6c1+r6c3 = r7c2+r7c3+r8c3 = r8c4 (region sum line)



sudokupad link
penpa+ link

Solution code: row 1


Solved by lmdemasi, Piatato, Gilliatt, SKORP17, cybers, Bootenks, tuturitu, Samish, Myxo, wullemuus, Tacosian, Frank Puzzles, Qodec, The Book Wyrm, Silverstep
Full list

Comments

on 29. December 2024, 23:48 by The Book Wyrm
Lovely puzzle. Very clever and intricate logic and very interesting to untangle all the different options, especially the opening.
Very much enjoyed this one.

on 25. November 2024, 17:19 by Qodec
Not even that hard if you just keep asking the right questions. Splendid puzzle.

on 7. November 2024, 09:33 by Frank Puzzles
https://youtu.be/jGoLtOkuPzI

Here's a link to my solve of the puzzle. Took some struggling, but I finally got through it. It was a FUN struggling, though!

on 2. October 2024, 21:01 by Tacosian
Fantastic!

Last changed on 12. September 2024, 22:13

on 12. September 2024, 21:10 by Lawrencelot
I think this one is too hard for me, 2 hours in and I only got two lines figured out... Would love a hint but not sure how that works on this website
.......
The way it works is that you write a hidden comment and the author of the puzzle can then edit it to provide answers to your questions.

on 12. September 2024, 14:28 by wullemuus
Beautiful puzzle- even more with the solution video. Thanks!

on 8. September 2024, 19:06 by Myxo
Great puzzle!

on 7. September 2024, 23:27 by Samish
Beautiful and intricate construction. It was somehow super hard for me to ask the good question a couple of times but no step was too hard

on 7. September 2024, 21:14 by cybers
Really enjoyed that - what an interesting opening :) thanks!

on 7. September 2024, 11:12 by Piatato
Very cool! Tricky and fascinating throughout :)

on 7. September 2024, 09:19 by lmdemasi
Very enjoyable and interesting ambiguity puzzle!

Difficulty:4
Rating:93 %
Solved:15 times
Observed:6 times
ID:000JP6

Enter solution

Solution code:

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