## Rainy Day Sudoku 12 (squared) & 35

(Eingestellt am 30. Juli 2020, 11:20 Uhr von 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!

Lösungscode: 4th row

Zuletzt geändert am 3. Februar 2023, 21:50 Uhr

Gelöst von 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
Komplette Liste

### Kommentare

am 18. März 2023, 08:01 Uhr von ShuiFeng
Excellent idea but my brain is full of 2,3,5,7 now XD

Zuletzt geändert am 3. Februar 2023, 22:41 Uhr

am 3. Februar 2023, 21:51 Uhr von joecat
Thanks Samish - delighted you enjoyed it. And thanks Drike & Vebby for creating the CTC link.

am 3. Februar 2023, 21:50 Uhr von joecat

am 3. Februar 2023, 18:00 Uhr von 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.

am 15. Juni 2022, 19:27 Uhr von filuta
Astonishing puzzle, that was a real joy to solve despite its monstrous difficulty. Thanks!

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

am 19. April 2022, 13:15 Uhr von joecat
Amazing - thank you Drike!

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

am 9. Januar 2022, 17:25 Uhr von cha
My english ability is bad, but this puzzle is very good, thank you!

am 8. Dezember 2021, 13:40 Uhr von 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 :^)

am 7. Dezember 2021, 08:06 Uhr von 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

am 4. Oktober 2021, 23:41 Uhr von 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.

am 4. Oktober 2021, 23:08 Uhr von joecat
You're welcome! Also, super cool to see people still enjoying this puzzle after all this time.

am 4. Oktober 2021, 08:35 Uhr von 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.

Zuletzt geändert am 24. Juli 2021, 21:24 Uhr

am 24. Juli 2021, 21:24 Uhr von 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!

am 13. August 2020, 14:33 Uhr von joecat
@SudokuExplorer: Thanks - will do!

Zuletzt geändert am 13. August 2020, 14:18 Uhr

am 13. August 2020, 14:15 Uhr von 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.

am 13. August 2020, 09:26 Uhr von 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...

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

am 9. August 2020, 22:43 Uhr von 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! :-)

am 8. August 2020, 21:34 Uhr von joecat
@SudokuExplorer Good luck!

am 8. August 2020, 11:36 Uhr von 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. :-)

am 31. Juli 2020, 12:45 Uhr von zhergan
It's a monster. Nice and tough!

am 31. Juli 2020, 11:27 Uhr von joecat