Logic Masters Deutschland e.V.

Box Twist

(Published on 8. November 2022, 18:31 by FullDeck-Missing)

A gentle introduction to some of the logic about how modular lines interact with killer cages.

Normal sudoku rules apply. Each row, column, and box must contain a complete set of the digits 1-9.

Normal killer cage rules apply: digits in cages cannot repeat and must sum to the number shown in the upper left corner of the cage.

Modular lines: every set of three sequential digits along a line must contain a complete set of residues modulo 3, i.e. one digit from {1,4,7}, one from {2,5,8}, and one from {3,6,9}. Digits may repeat on a line if allowed by other rules.

Try the puzzle on the Sudokupad app by Sven Neumann.

You can find a complete list of our puzzles on LMD here. Please also visit us at Missing Deck Puzzles.

Solution code: Column 5 (top to bottom); nine digits, no spaces


Solved by vitaminz, SKORP17, nmmc123, MontanaPearl, sujoyku, halftime, Myreque, jalebc, Nairi, zegres, ai caramba, Guillem98, mathpesto, dskaff, julien505, kublai, AvonD, samuella, Jagga, martinsb, efnenu, ... cam_san, RToto.21, Alamo, BolyaiAnna, ch1rch, Jrgamer4u, paaaul019, JVA, leszeks, jjtheplum, kangaroo, jmcubed, onetabloid, renewedrebirth, jcw1407, acdz, funky_chicken, BlahBlahBlah, Swesie, karol1
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Comments

on 25. August 2024, 16:34 by CSStead
Using the modular lines in the killer cages is a great way to ease into modular lines. Very enjoyable!

on 7. March 2024, 05:37 by cozoq
Fun! I liked how this worked together. Took just under 16 minutes

on 27. November 2023, 19:44 by tkoehler82
Very fun to solve!

on 24. November 2023, 12:16 by ark29
Enjoyable and fun puzzle. First modular lines puzzle IIRC

Last changed on 1. July 2023, 10:48

on 1. July 2023, 09:30 by JimMantra
A way that helped me wrap my mind around the modular line concept: The sum of 3 sequential numbers on a line is divisible by 3.

on 28. May 2023, 02:56 by AdrianSimple
Lots of fun, thanks so much :)

on 9. May 2023, 14:51 by Hirrumi
Lovely puzzle. I solved it just under 15 minutes - I am proud of myself :DD

on 16. March 2023, 20:45 by Theory Joe
This was fun, clever, approachable difficulty. Great puzzle.

on 16. March 2023, 17:21 by gd1981
Very nice puzzle. Took a couple of restarts to get the Modular lines rule set worked out, but after that it fell nicely. Thank you

Last changed on 15. March 2023, 01:37

on 15. March 2023, 01:33 by RussKozerski
Yesterday I stared at a juice box for four hours because it said, "Concentrate." Enjoyable and approachable. Thank you.

on 14. November 2022, 20:53 by NeroQ
i like it, it is very easy, propably easiest I attempted so far, but still very enjoyable

Last changed on 14. November 2022, 01:34

on 12. November 2022, 20:14 by Syzygy
Thanks for the puzzle! Fun and straightforward solve, really good flow

>> We're so glad you enjoyed it!

Last changed on 10. November 2022, 17:02

on 10. November 2022, 13:28 by the_fow_fow
Very nice puzzle. My very first time even attempting modular lines. I definitely learned some things, thank you!

>> Wonderful! Thank you so much!

Last changed on 10. November 2022, 04:23

on 9. November 2022, 19:15 by Nicholas Roberts
Nice puzzle (almost GAS like). Very smooth.

>> Thank you!

Last changed on 8. November 2022, 20:18

on 8. November 2022, 20:05 by zegres
Very nice GAS puzzle. Two hats please!
I still find modular lines a bit unintuitive compared to entropic lines, but this helped.

>>Two hats duly awarded! Glad you enjoyed it and it helped with the modular lines intuition.

Last changed on 8. November 2022, 19:21

on 8. November 2022, 19:20 by halftime
This was a nice little afternoon treat. Thanks for sharing!

>> Thank you for the kind words. So glad you enjoyed it :)

Last changed on 8. November 2022, 19:19

on 8. November 2022, 19:17 by sujoyku
Nice puzzle! It is indeed approachable and (as intended) felt like a great introduction to modular lines plus killer cages. Thank you, FullDeck-Missing!

>> Thank you! We appreciate the kind words and are glad you enjoyed the puzzle :)

Difficulty:1
Rating:90 %
Solved:688 times
Observed:13 times
ID:000BXY

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Solution code:

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