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
Full list

Comments

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:5
Rating:91 %
Solved:12 times
Observed:2 times
ID:000JP6

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Solution code:

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