Equality Cages 142: Impostors
(Published on 1. July 2025, 18:00 by gUBBLOR)
marty_sears created an absolutely brilliant puzzle called
Remove and Repeat - definitely give that a go! If you've solved that one it'll be obvious it's what inspired this puzzle, even though the rules are a little different. Special thanks to marty as well for helping out with rules and making the puzzle look a little bit better.
The rules may be tricky to fully comprehend by just reading them, so I also created
Impostors Example/Snack, which is much simpler and has examples of what's correct and incorrect. Alternatively at the bottom there's a link to Puzzle Patzer explaining the rules and solving both puzzles. Special thanks to him for helping out. If you enjoy watching variant sudoku solves, you should check out his channel
here - he deserves a lot more subscribers than he currently has.
The previous puzzle in the series:
Equality Cages 141: Deconstruction
All my series:
Equality Cages
EquaLite Cages
Shifter Lines
Shifter Dots
Rules:
The grid contains the digits 1-9, but normal sudoku rules DO NOT apply. There are 9 impostor digits to be found, one in each row, column, and box.
Impostors: In each row, column, and box one digit has been removed and replaced by an impostor digit, which is a repeat of one of the other digits in that row or column. I.e. 142496785 would be a valid example - 3 has been removed, and one of the repeated 4s is an impostor (the solver must deduce which one).
Each digit 1-9 appears exactly once in an impostor cell. The blue arrows are used to indicate the impostor digit in that row or column. Each digit 1-9 is removed from exactly one row, exactly one column and exactly one box. The red arrows is used to keep track of these. The blue and red arrows in the same row/column need to point to the same cell (the impostor).
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. Not all dots are shown.
XV: Adjacent cells connected with an X must sum to 10. Adjacent cells connected with a V must sum to 5. Not all X's or V's are shown.
Solve here:
Sudokupad
Video featuring the puzzle:
Puzzle Patzer
Solution code: A completion message with the solution code will be available when the puzzle has been solved on Sudokupad!
Last changed on -
Solved by PuzzlePatzer, SKORP17, dkfan9, Pairot, sehringdipity, benisjammin, Cryccu, pmatos, dzamie, Yiab, metacom, marcmees, widjo, NEWS, BanishedBread, DiMono, isajo4002, Jodelbanane
Comments
Last changed on 3. July 2025, 14:45on 3. July 2025, 07:53 by marcmees
very nice but a bit annoying to register 117 digits in sudokupad to get the solution code after solving the puzzle on paper.
Last changed on 2. July 2025, 13:25on 2. July 2025, 10:36 by PierreTombal
I fear I'm either misinterpreting the rules, or there are two solutions to this puzzle.
---
Either take a look at the example puzzle or Puzzle Patzers video!
+++++
Right. Grid was actually fine. As it didn't check out I started wondering whether the blue arrows where supposed to hold coordinates, which didn't work either. wiped it again and re-entered the digits but apparently made a mistake. Possibly the same one? Turns out I had swapped the blue arrow digits of rows 7 and 9.
on 2. July 2025, 04:14 by Pairot
Interesting ruleset as always
on 1. July 2025, 20:58 by dkfan9
Very cool puzzle. Enjoyed the constraint and a very nice flow.