Masquerade
(Published on 17. July 2020, 12:52 by RockyRoer)
Normal sudoku rules apply
In addition, some numbers ‘wear masks’ and their totals are not included in the cage totals. Numbers either ALWAYS wear masks, NEVER wear masks, or SOMETIMES wear masks. Those that sometimes wear masks will wear them whenever they are in a cage with someone else who always wears one, otherwise they don’t wear them.
Some examples, assuming 1 always wears a mask and 5 sometimes wears a mask:
- The cage 1 + 4 would sum to 4
- The cage 4 + 5 would sum to 9
- The cage 1 + 4 + 5 would sum to 4, because 5 wears his mask because of 1's presence in the cage.
Little killer diagonals ‘see through’ the masks, and always reflect the true total — regardless of whether the numbers along the diagonals are masked.
Solution code: The number(s) that always wear a mask, in order, followed by the the numbers in column 2 from top to bottom (?? digits long)
Comments
on 13. June 2024, 21:04 by StephenR
Fun one, thanks. Messed me with head at first, but after some time I finally grasped the "sometimes" digits.
on 5. February 2021, 12:26 by RockyRoer
Added f-puzzles link
on 30. December 2020, 14:39 by MartinR
Tricky - the "sometimes" digits do take a bit of getting used to!
on 29. December 2020, 02:51 by RockyRoer
Here's a link to it on f-puzzles... https://f-puzzles.com/?id=y8v64xng
on 27. November 2020, 19:12 by Debrutsid
Very nice puzzle, had it bookmarked for a while but finally got around to it.
on 26. October 2020, 22:29 by DiMono
This is a VERY NICE puzzle. It's not too hard, but you have to do some pencilwork to get started. I think it looks more intimidating than it is.
on 18. July 2020, 20:37 by SudokuExplorer
Very fun concept and enjoyable to solve!
If anyone else wants to try it on penpa, here's a link: https://tinyurl.com/y5yve6ad
on 17. July 2020, 16:40 by SirWoezel
Quite a challenge. And very enjoyable.
on 17. July 2020, 14:13 by SirWoezel
@RockyRoer Just wondering... May digits repeat in a cage?
Reply: Nope -- they are normal killer cages... well -- except the fact that the totals for many aren't right :-)
