Killer Quads
(Published on 19. September 2022, 03:14 by RockyRoer)
The Rules:
- Normal killer sudoku rules apply -- numbers cannot repeat in cages and must sum to the totals (not) given. Totals must be deduced.
- Normal quadruple rules apply -- digits in the circled cells must appear somewhere in the surrounding four cells. Quadruple values must be deduced.
- The number in a circle must also be one of the cage totals in one of the surrounding killer cages. Which cage(s) it applies to must be deduced.
An Example:
The Puzzle:
Though I recommend solving on paper, you could try this on F-Puzzles or CTC app. Or you can try the example puzzle on F-Puzzles
Solution code: Column 7 from top to bottom
Comments
on 5. April 2024, 04:52 by Agent
Impressive construction. The ruleset looks impossible at first but it was actually quite smooth.
on 27. October 2022, 18:35 by Silverstep
Puzzle is absolutely surreal. It is unimaginable that a grid like this exists. No numeric clues, no uncaged cells, AND no redundant cages.
Solution path is hard but fair. Probably a 4.5 stars, but I guess most people rated 5 'cause it's long.
Side note, this puzzle can be solved in Penpa+ with the "Number" tool if "Draw on Edges" is turned on. I have attempted to recreate it, if RockyRoer doesn't mind: https://tinyurl.com/2y4d839x
(remember to set the "Number" tool to "White Background")
on 22. September 2022, 20:26 by Al Fresco
Very satisfying Solve. Lovely interactions between the quads and cages.
on 22. September 2022, 15:49 by henrypijames
Could a circle contain 21? Or is it always 12?
Reply: A circle could contain 12, or 21 -- as long as one of the surrounding cages has that total. Either way, it would mean there is a 1 and a 2 in the surrounding four cells.
A circle could contain 22, which would mean there's two 2's in the surrounding four cells.
A circle cannot contain 10... because... A cage total could be 10 however.
on 21. September 2022, 19:18 by Phistomefel
Very cool idea and wonderful execution. Thanks a lot for setting this beauty, Rockyroer!
on 21. September 2022, 05:05 by panthchesh
Beautiful!! :)
on 20. September 2022, 21:09 by marcmees
Amazing puzzle with a tricky finale. thanks
on 19. September 2022, 20:05 by JayForty
Very nice and clever puzzle with a smooth and satisfying solve. Thank you!
on 19. September 2022, 16:08 by bansalsaab
What a beautiful concept. This puzzle needs more love and solves.
on 19. September 2022, 11:33 by Mrtn
Thank you for this awesome puzzle!
on 19. September 2022, 11:26 by SirWoezel
Very beautiful. Thanks!
on 19. September 2022, 07:29 by cha
may cage totals that link to circle repeat? like 11 or 22?
Reply: Sure, if they do, then the quad circle has repeated digits and would have to have two 1's, or two 2's, so sudoku rules would have to allow for repeated digits--but there could be spots where that's possible.
