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, ... Uhu, michaal94, doomedmageknight, xtfnfhvzzw, Komeiji_Carey, Vebby, flatbread, Frutlop, trashghost, Blake Saligia, PippoForte, zhall12570, duckling, konfetti, StephenR, arauwer, Mikemerin, erkiraak
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Comments

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:140 times
Observed:14 times
ID:000F5F

Variant combination New Online solving tool

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