Logic Masters Deutschland e.V.

10 (Types of) Lines

(Published on 13. September 2023, 02:12 by mathpesto)

Rules:

Normal sudoku rules apply. Digits in a circle appear at least once each in the four surrounding cells. From left to right, top to bottom, the following lines have the following properties:

  • Whisper (green):
Adjacent digits differ by 5 or more.
  • Thermo (gray):
Digits increase from the bulb to the end.
  • Renban (purple):
The line contains a set of consecutive digits (not necessarily in order).
  • Between (gray):
Digits on the line are between the values in the circled ends.
  • Region Sum (blue):
Digits on the line have the same sum in each box the line is in.
  • 10 Line (gray):
The line consists of one or more contiguous groups of cells, each of which sums to 10. Groups cannot overlap.
  • Nabner (gold):
No two digits may be consecutive.
  • Parity (red):
Adjacent digits alternate between odd/even parity.
  • Modular (teal):
Every set of three sequential digits contains one digit from {1,4,7}, one from {2,5,8}, and one from {3,6,9}.
  • Entropic (orange):
Every set of three sequential digits contains one digit from {1,2,3}, one from {4,5,6}, and one from {7,8,9}.

Solve online:

SudokuPad

Solution code: Row 9 (left to right)


Solved by Calvinball, MicroStudy, bad_fetus, Steven R, mnasti2, bansalsaab, cdwg2000, tuturitu, Nordy, thoughtbyte, lmdemasi, Vodakhan , Thibaa, mihel111, Sonki, Franjo, Skaev, Bjd, Paletron, nordloc, ... Frutlop, trashghost, Blake Saligia, PippoForte, zhall12570, duckling, konfetti, StephenR, arauwer, Mikemerin, erkiraak, tgstar, jordanza, dogfarts, SudokuHero, forsen, mcs131313, k2u5as, marajade
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Comments

on 23. September 2025, 07:02 by marajade
What a wonderful experience this puzzle was! It was a joy to discover the different ways that apparently unrelated rulesets on the different lines could interact and become greater than the sum of their parts.

German Whispers is one of my favorite variants and I don't think I'd ever seen it combined with 10 lines before, so I assumed that was going to be my favorite part of the solve, but to my surprise I found the unraveling of column 3 even more delightful!

Last changed on 21. September 2023, 15:53

on 21. September 2023, 15:46 by madhupt
What a great puzzle! The interactions between different lines was so fascinating. The nabner line gave in next with some 2-8 logic and then the thermo crumbled after some interaction with go-between and region-sum lines. But even after that the flow was so smooth but not easy. Thanks for sharing.

Last changed on 21. September 2023, 02:13

on 21. September 2023, 02:10 by Big Tiger
Woosh! Made it! I kept making one fatal assumption that, the fourth attempt through, I noticed and corrected.

Part of my problem on my very first attempt was that this is the first time I've heard of Nabner lines and the explanation here is unclear. I thought they just couldn't be consecutive TOGETHER on the line; didn't know that NO consecutive numbers could be anywhere on the line. Seeing a recent CTC video illuminated me on that.

The second and third attempts were just me jumping to a wrong conclusion.

on 15. September 2023, 19:57 by samuel1997
Lovely puzzle! The quadruples and the lines interact nicely!

on 14. September 2023, 19:17 by Schma
Really enjoined that puzzle. Took a while to actually see where to start but all those line interactions were really nice.

on 14. September 2023, 18:36 by Playmaker6174
Hot dog, there're plenty of unusual interactions in here but they're so fun to follow till the end :)

on 14. September 2023, 11:42 by wilsig
Excellent puzzle!

on 13. September 2023, 23:15 by HumanBirdsong
This was pure joy to solve! I can’t imagine how many variations you experimented with to discover which rulesets interacted in the most interesting ways. Thank you so much for what I am sure must have been many hours of work.

on 13. September 2023, 18:56 by Big Tiger
Going to have to come back to it - I got the first digit fairly easily. The second digit has eluded me for an hour and a half.

on 13. September 2023, 16:53 by Ragna
Wow!!! What a wonderful puzzle!
Thank you for your time. :-))

on 13. September 2023, 16:23 by OGRussHood
Wow, I didn't think that a puzzle like this could exist. Every deduction was pure joy. Thanks again for another stellar construction, Math Pesto!

on 13. September 2023, 15:46 by I_love_carrie273
I'd love to rate it high but I broke the puzzle three times so I am probably not going to be able to rate it :-)

Last changed on 13. September 2023, 15:35

on 13. September 2023, 15:33 by vorash00
The second digit took a while but when it went in it did it started a domino effect and after that I was never stuck for too long.

Nice to see how different lines that aren’t often in the same puzzle interact with each other.

Very nice.

on 13. September 2023, 08:01 by thoughtbyte
Very nice, thanks!

on 13. September 2023, 07:50 by Nordy
Wonderful tour of lines! Super fun with some juicy deductions in the mid solve

Difficulty:3
Rating:95 %
Solved:148 times
Observed:28 times
ID:000F5F

Variant combination New Online solving tool

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Solution code:

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