Logic Masters Deutschland e.V.

Equality Cages 113: What line is it anyway?

(Published on 28. November 2023, 22:15 by gUBBLOR)

Lucky number 13 of my Equality Cages is here. The previous and next puzzle in the series:
Equality Cages 112: Entropic modularity
Equality Cages 114: Now in 3D!

All my series:
Equality Cages
EquaLite Cages
Shifter Lines
Shifter Dots

A recommendation is to have some experience with all of the lines before starting this puzzle. It's definitely not required, but it will likely make for a smoother solve.



Rules:
Normal Sudoku rules apply. Place the digits 1 through 9 in each empty cell. Digits must not repeat within the same row, column, or box.

Equality cages: Cages must have an equal number of low (1,2,3,4) and high (6,7,8,9) digits AND an equal number of even (2,4,6,8) and odd (1,3,7,9) digits. Equality cages can never contain 5. Digits may not repeat in a cage.

Kropki dots: A black dot between cells indicates cell values with a 2:1 ratio. A white dot between cells indicates cells with consecutive values. Not all dots are shown.

X: Adjacent cells connected with an X must sum to 10. Not all X's are shown.

Various lines: There are different types of lines in the puzzle. It's up to the solver to deduce the identity of each line, which could be any of these four;
‍ ‍ 1. German Whispers - Adjacent digits along each German Whisper line must have a difference of at least 5. Digits may repeat on the line.
‍ ‍ 2. Renban - Digits along each renban line must be a set of consecutive digits in any order, and must not repeat.
‍ ‍ 3. Palindrome - Digits along a palindrome line read the same forwards or backwards.
‍ ‍ 4. Region Sum Lines - Digits along region sum lines have the same sum within each box the line passes through. Every visit to a box counts to a new total. Lines must enter more than one box. Digits may repeat on the line.

Solve here:
Sudokupad

Video featuring the puzzle:
Sudoku Sleuth

Solution code: A completion message with the solution code will be available when the puzzle has been solved on Sudokupad!

Last changed on on 28. January 2025, 07:40

Solved by cornish-john, Sniglett, gumby, Jasura, Hajuhn, OutOfMyMindBRB, lmdemasi, efnenu, Martini , Horoshamu, EFlatMinor, Mutx, zrbakhtiar, Schwupel, benisjammin, wacfwaef, RebelSystem, Jolly Rogers, ... atomvic, humaLautema, yusuf17, fab_minimal, hibye1217, duckling, KingIsulgard, Matthew Humphrey, AlexandraV, widjo, TroublesomeOrca, BabyfacedBard, Jastucreudo, jsxft, FireRide, Ploctypus, Muendo
Full list

Comments

on 28. January 2025, 07:40 by gUBBLOR
Changed solution code

on 9. March 2024, 18:38 by gUBBLOR
Added links

on 8. March 2024, 14:23 by gUBBLOR
Added video link to the puzzle being solved

on 25. February 2024, 13:22 by wuc
Awesome. Loved it. Aproachable to me for a 3 star. Thx

on 12. December 2023, 23:32 by gUBBLOR
Added some links

Last changed on 5. December 2023, 15:50

on 5. December 2023, 13:16 by poundcayx
seems like such a cool puzzle but ive spent 2 hours on it and broken it 4 times :-(
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Hit me up on discord and I'll help you out if you want!

on 5. December 2023, 10:41 by roavin
Oh WOW! I don't usually like puzzles with ambiguities but this one is really, really special, with absolutely fantastic and interesting logic throughout and such a wonderful ending.

on 30. November 2023, 08:09 by fitzie
i entered the solution for Hajuhn's comment.

on 29. November 2023, 05:01 by EFlatMinor
Loved this one! It was a fun challenge to sort out what the lines are. Wonderful puzzle that stays interesting the whole way through!

Difficulty:3
Rating:94 %
Solved:101 times
Observed:17 times
ID:000FZR

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Solution code:

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