Equality Cages 121: Ranked cells
(Published on 17. January 2024, 11:43 by gUBBLOR)
Yet another Equality Cage puzzle, this one is also fairly easy. I believe
Will Power came up with the constraint for his puzzle
5 Golden Rings, so if you like this puzzle you could always give that one a go. The previous and next puzzle in the series:
Equality Cages 120: Parity?! It's called polarity!
Equality Cages 122 x Shifter Lines 108: Vortex
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.
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.
Cell rankings: A cells rank is equal to the number of times a line goes from the center of the cell to the cell border. For example, R2C6 has a rank of 2, and R5C5 has a rank of 5. Cells with a higher rank must contain a higher digit than those of a lower rank. Rankings only exists within each box, so there would be nothing wrong with a rank 1 cell in box 4 to be higher than a rank 3 cell in box 3. Cells with no rank can be any number, and may be between cells of the same rank. I.e. there'd be nothing wrong with having two rank 2 cells be 4 and 6 and a non-ranked cell in the same box to be a 5.
Solve here:
Sudokupad
Video featuring the puzzle:
Sudoku Sleuth
Solution code: Row 2 left to right and column 7 top to bottom - no spaces.
Last changed on on 29. March 2024, 09:42
Solved by apothycus, benisjammin, hige, benny, roavin, Schwupel, saskia-daniela, mcc, bys, Jacsn, SKORP17, Philologos, NotThatKindOfDoctor, dskaff, abadx, BBoris, Brodie2000, Notlob, jacques_, Jorava, ... jgarber, humaLautema, yusuf17, DozingSongbird, duckling, polykin, oezi, Pinevie, KingIsulgard, Madoka42, AnotherBubblebath, Horoshamu, Dez256, DylanRay, elloschmello, me and the paws, Airelin
Comments
on 29. March 2024, 09:42 by gUBBLOR
Added video link to puzzle being solved
on 9. March 2024, 18:43 by gUBBLOR
Added links
on 7. March 2024, 04:32 by Ganbatte
Fun puzzle. I was awake in the night and this gave me something quiet to do so I didn’t disturb anyone. Thanks for making it!
on 21. January 2024, 16:36 by gUBBLOR
Added some links
on 17. January 2024, 19:16 by gUBBLOR
Updated the rules for some clarification
Last changed on 17. January 2024, 19:17on 17. January 2024, 17:45 by Philologos
Nice simple puzzle!
May I suggest that next time you use cell ranking you specify that cells without lines are not to be considered 0-rank, as one could reasonably think by reading the rules literally? In Will Power’s puzzle it is indeed specified that “cells with no golden lines can be any number”.
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Excellent feedback, thanks. I have updated the rules! Glad you enjoyed it!