Double or Nothing
(Published on 24. June 2024, 21:08 by Belamis)
Sudoku: Normal Sudoku Rules Apply.
Killer Cages: Digits cannot repeat in cages, and *values* in cages must sum to the digit in the top-left corner.
Cloned cages: Cages of the same shape and orientation (and colour) contain the same arrangement of digits.
E.g. The digit in row 1 column 3 must repeat in the equivalent caged cell in row 8 column 1.
Every Row, Column, and 3x3 box contains a double-or-nothing cell. A double-or-nothing cells value is equal to either double its digit or 0.
E.g. if the digit 6 is placed in a double-or-nothing cell in a cage, that 6 instead contributes a *value* of either 12 or 0 to that cage total.
Solution code: Row 1
Comments
on 4. July 2024, 06:52 by asp1310
Does every double-or-nothing cell need to be in a cage?
Response
Thanks for the question - It is not strictly required that every double-or-nothing cell needs to be in a cage. Provided all of the cages & clones are satisfied, some of these cells could be outside cages in theory.
on 28. June 2024, 01:09 by abihummel
Really delightful constraint! I was surprised by the logic throughout the whole solve! I'd love to see more puzzles like this one.
on 27. June 2024, 01:31 by Karitsu
Sort of like a 2 star start, but then 1 star once you’ve got the first few digits placed. I enjoyed it immensely!
on 26. June 2024, 12:42 by AsgarArn
Was a bit of thinking before I got then hang of it, and a few harder spots, but then quite easy ride.
on 25. June 2024, 18:19 by fortunia27
Absolutely loved it! Really enjoyed the way the twin cages interacted with the double-or-nothing digits
on 25. June 2024, 07:36 by Belamis
Added examples to the rules
on 24. June 2024, 22:33 by fractalminding
I tried to solve it. But I completely failed to understand the rules. Please explain and give examples about "same arrangement of digits" and "double-or-nothing cell". How a cell can be doubled or 0? In this case normal sudoku rules don't apply...
Thanks for the feedback - I have now added some examples to the rules, to hopefully make things more clear. But if they still seem ambiguous let me know.
