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, ... slatt490, mezkur7, AAndrei_Truther, Polytechnisch, Woody03130, elpizw, lpq29743, dendrobium, TheGreyBrewer, Ploctypus, forsen, meatbox, meowme, stefhoer, qbert72, Counterfeitly, Incurrsion, koiking
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Comments

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:531 times
Observed:4 times
ID:000BXY

Variant combination Online solving tool

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Solution code:

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