Logic Masters Deutschland e.V.

Rainy Day Sudoku 12 (squared) & 35

(Published on 30. July 2020, 11:20 by joecat)

Normal sudoku rules apply. With one exception, every cage has a product that both is a multiple of 144 and is not a multiple of 35. (So one cage is the 'rogue' cage, whose product either is not a multiple of 144, or is a multiple of 35, or both.) Digits cannot repeat within cages, even within the rogue cage.

This is the first puzzle I've posted here. While it's more arithmetical than some sudoku variants, you shouldn't need a calculator. I hope you enjoy it!

CTC link: https://tinyurl.com/ycyrxjvj

Solution code: 4th row

Last changed on on 3. February 2023, 21:50

Solved by emmettcito, zhergan, SudokuExplorer, bosjo, FryTheGuy, Piatato, polar, Jesper, DVFrank, Ood, cha, pandiani42, Drike, Vebby, harrison, filuta, Blake Saligia, cdwg2000, aholst, Kappa6174, Samish, fjam, NeroChaos, KevinTheMH, Lyun Licuss, ShuiFeng, martin1456, cytCoye, Bobbobert, NB_CN, twobear, Agent, mnasti2, andreiz, Myxo, wullemuus
Full list

Comments

on 8. February 2024, 14:48 by wullemuus
Absolutely amazing puzzle!

on 19. November 2023, 12:40 by Myxo
Incredible puzzle!

on 7. August 2023, 00:11 by Agent
Wow, that was a true masterpiece! I don't think I've ever seen a sequence of mind-blowing deductions like this in a puzzle.

on 31. July 2023, 10:09 by twobear
Amazing construction!

on 18. March 2023, 08:01 by ShuiFeng
Excellent idea but my brain is full of 2,3,5,7 now XD

Last changed on 3. February 2023, 22:41

on 3. February 2023, 21:51 by joecat
Thanks Samish - delighted you enjoyed it. And thanks Drike & Vebby for creating the CTC link.

on 3. February 2023, 21:50 by joecat
Added CTC link

on 3. February 2023, 18:00 by Samish
This puzzle belongs to the sudoku hall of fame. It's a masterpiece of utter perfection and I'm blown away that it even exists, and that you found it. Thank you so much for this wonderful experience.

I spent about as much time on the theory of the concept, as in actually working on the grid, and it went slowly but without too much trouble despite the intricacy. I definitely recommend this approach.

About your question to SudokuExplorer, I would definitely recommend you to attempt filuta's "8x8=9x9" puzzle that is, along with this one, the puzzle that blew my mind the most. Like this one, it requires a lot of preliminary work and understandings to break in and is about multiplications.

on 15. June 2022, 19:27 by filuta
Astonishing puzzle, that was a real joy to solve despite its monstrous difficulty. Thanks!

on 19. May 2022, 05:49 by Vebby
Wonderful! Discovered this gem through FryTheGuy's recommendation. Felt quite smooth after tackling his puzzle, Rainy Night, based on this one. Thanks joecat!

on 19. April 2022, 13:15 by joecat
Amazing - thank you Drike!

on 19. April 2022, 11:16 by Drike
I created the CTC link and someone will need it. It’s a fantastic puzzle!

https://app.crackingthecryptic.com/sudoku/?puzzleid=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

on 9. January 2022, 17:25 by cha
My english ability is bad, but this puzzle is very good, thank you!

on 8. December 2021, 13:40 by DVFrank
What an absolutely incredible puzzle! Altogether that must have taken me about eight hours to finally crack. But for all the amazing insights along the way, it was completely worth it. Definitely one of my favourite puzzle, I've ever seen :^)

on 7. December 2021, 08:06 by FryTheGuy
Thanks for setting this absolutely amazing puzzle!

I ended up creating a puzzle using the same constraint:

https://logic-masters.de/Raetselportal/Raetsel/zeigen.php?id=0008HA

on 4. October 2021, 23:41 by polar
I found your puzzle through FTG & SudokuExplorer's recommendations. So many thanks to them for drawing my attention here also :) It's the kind of puzzle I would love to do again, but alas that would necessarily contradict the uniqueness of this puzzle. I also very much appreciate how such a difficult puzzle requires no great tricks or leaps of knowledge. A return to simple principles of basic primes is all that is really needed.

on 4. October 2021, 23:08 by joecat
You're welcome! Also, super cool to see people still enjoying this puzzle after all this time.

on 4. October 2021, 08:35 by polar
Mind bendingly brilliant! I can only echo the comments here and am very humbled to have solved such a beast of a puzzle. Thank you so much for setting this.

Last changed on 24. July 2021, 21:24

on 24. July 2021, 21:24 by Piatato
What a truly epic puzzle this was! I literally spent the whole day solving it, and I don’t regret it one bit. I have no clue how you managed to make this puzzle, Joecat, but thanks a lot for doing so!

on 13. August 2020, 14:33 by joecat
@SudokuExplorer: Thanks - will do!

Last changed on 13. August 2020, 14:18

on 13. August 2020, 14:15 by SudokuExplorer
@joecat I'm not surprised that it took you so long to make this beauty.

I recommend you try ProwlingTiger's Divisibility Squares Sudoku (https://logic-masters.de/Raetselportal/Raetsel/zeigen.php?id=0003VZ). It has very unique logic as well.

on 13. August 2020, 09:26 by bosjo
Wow! That was a puzzle and a half (well, almost a puzzle and two thirds, actually...)! If you take it on, prepare to spend some serious time on it; more for intricate bookkeeping than difficult maths. Maybe, as the title suggests, save it for a rainy day...

on 9. August 2020, 23:32 by joecat
@SudokuExplorer: That's so gratifying to hear. You are most welcome. Cheers!

on 9. August 2020, 22:43 by SudokuExplorer
Wonderful! The concept behind the sudoku is very nice, but the execution of the idea is phenomenal! Excellent use of number theory, combinatorics and geometry! The last time I used logic like this was when solving difficult olympiad maths puzzles. Thanks for this beautiful construction! :-)

on 8. August 2020, 21:34 by joecat
@SudokuExplorer Good luck!

on 8. August 2020, 11:36 by SudokuExplorer
@joecat I just wanted to comment that I have loved the starting logic to place the first digit. I haven't solved this yet, but I won't rest in peace until I do so. :-)

on 31. July 2020, 12:45 by zhergan
It's a monster. Nice and tough!

on 31. July 2020, 11:27 by joecat
Cheers emmettcito - you've made my day! Glad you enjoyed it.

on 31. July 2020, 01:20 by emmettcito
WOW! that was quite a puzzle! I think it took me about 4 hours to complete this monstrosity of a puzzle, and this is likely one of the most difficult puzzles i have ever solved. The logic needed to solve this is like nothing i have ever seen before and is very beautiful as well. 10/10 fantastic puzzle! I highly recommend trying to solve this :)

Difficulty:5
Rating:100 %
Solved:36 times
Observed:15 times
ID:0003ZU

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