Logic Masters Deutschland e.V.

Equality Cages 119: Friendly, hostile, and neutral cages

(Published on 9. January 2024, 06:04 by gUBBLOR)

More Equality Cages, this time without much else. Special thanks to isajo4002 and cornish-john for their help and feedback while creating this. The previous and next puzzle in the series:
Equality Cages 118: Sum equally consecutive lines
Equality Cages 120: Parity?! It's called polarity!

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



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.

Friendly, hostile, and neutral:
- Green cages contain only friendly cells. Friendly cells have to match either their row, column, or box. I.e. if R1C6 was friendly, it would have to be 1, 6, or 2 (as it is in row 1, column 6, and box 2).
- Red cages contain only hostile cells. Hostile cells CAN NOT match their row, column or box. I.e. if R1C6 was hostile, it could never be 1, 6, or 2.
- Yellow cages are neutral, and exactly half the cells are friendly, and the other half are hostile.

Solve here:
Sudokupad

Video featuring the puzzle:
Sudoku Sleuth
Crusader Puzzle (Indonesian)

Solution code: Row 5 left to right and column 8 top to bottom - no spaces.

Last changed on on 23. March 2024, 08:06

Solved by isajo4002, jalebc, Kversten, Jasura, benisjammin, ark29, tobymgk, SKORP17, gumby, agueybana, Gosciola19, roavin, Enkerro, dskaff, MartinR, dingledork, rictech, noitan, longeill, samuel1997, Odinvi00, ... MorsBe, paulpual, humaLautema, wuc, skoob, yusuf17, duckling, Madoka42, Carolin, KingIsulgard, ringel, AnotherBubblebath, Matthew Humphrey, Horoshamu, elloschmello, Danekiller, me and the paws
Full list

Comments

on 5. June 2024, 21:25 by wuc
Another new ruleset for me. Great interactions. Great fun thx.

on 23. March 2024, 08:06 by gUBBLOR
Added video link to puzzle being solved

on 9. March 2024, 18:42 by gUBBLOR
Added links

on 20. January 2024, 01:05 by codewizard
Very enjoyable and fun!

on 19. January 2024, 09:26 by EFlatMinor
What a beautiful puzzle! Interesting logic throughout. Thanks for setting!

on 14. January 2024, 11:55 by Crusader175
Very nice combination of both constraint. Really enjoyed solving it!

on 12. January 2024, 13:48 by gUBBLOR
Added video link to the puzzle being solved

on 10. January 2024, 17:59 by gUBBLOR
Added some links

on 10. January 2024, 16:22 by longeill
I loved it. This is my first equality cage puzzle, at least that I can recall, I'm about to go down a serious rabbithole here.

Thank you.

Difficulty:2
Rating:97 %
Solved:98 times
Observed:8 times
ID:000GI5

Enter solution

Solution code:

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