Hidden Sandwiches (Fog, Sandwich Layers)
(Published on 22. April 2025, 17:00 by Crusader175)
Rules:
Normal sudoku rules apply.
Fog: The grid is partially covered in fog. Entering correct digits will clear the fog from surrounding cells.
Sandwich Layers: The number in the top left corner of a cage indicates the sum of the digits sandwiched between 1 and 9 in that row (red cage) or in that column (blue cage), where a "?" can represent any sum ranging from 0 to 35. The digit in a cage indicates how many digits (including the crust of 1 and 9) the corresponding sandwich sum contains.
Puzzle Link: SudokuPad
My youtube channel on solving sudoku: Crusader Puzzle
Solution code: Column 2
Comments
on 7. May 2025, 23:03 by ostio456
I always love when some mental maths plays a large part in a sudoku so i was intrigued by this puzzle straight away. I struggled at first with the constraint as I hadn't come across it before, however I soon got to grips with it. The logic was beautiful throughout, and a bit of light colouring near the end saw me get past a tricky section and the end was in sight! One of my favourite puzzles I've done, thanks!
Reply: Thank you so much for the solve and kind comment! I made the constraint and this is the first puzzle with this rules (that I'm aware of). I definitely liked to explore it more in the future. :)
on 24. April 2025, 13:13 by fishsaltyak
@jinkela114514 I went back, this is where I got stuck https://imgur.com/a/8DbPHRs let me know what I missed or if I ended up on a different solve path.
Reply: I replied it in the hidden comment.
on 23. April 2025, 12:44 by Exigus
Had to do a bit of arithmetic scribbling on the side. Very nice placement of clues and fog-work.
Reply: Thank you very much Exigus!
on 23. April 2025, 12:05 by Crusader175
Clarify the rules.
on 23. April 2025, 04:19 by rameshsrivats
Beautiful puzzle
Reply: Thank you rameshsrivats! Glad you liked it. :)
on 23. April 2025, 03:58 by fishsaltyak
Very nice! One thing to note is that I had to assume that a ? cage can not be a zero value. I did run into a situation where the ? cage cell could have been filled in with a 2 or 4. The 2 would have made the cage value 0 (1 and 9 would be touching). Assuming it was not zero allowed me to finish.
Reply: ? can be 0, and jinkela made a hidden comment on the intended solve-path. I'll clarify the rules. Thank you for solving!
I went back, this is where I got stuck https://imgur.com/a/8DbPHRs let me know what I missed or if I ended up on a different solve path.
on 22. April 2025, 18:18 by ppdswiss
Wow - what a great puzzle! I think this one makes it a lot easier than some constraint puzzles to deduce where a certain digit must (or must not) be able to go thanks to the Red/Blue cage constraint. As a result this one flies by and flows beautifully.
Reply: I tried to make it not to difficult for this one, but definitely want to explored the idea more. Thank you!
on 22. April 2025, 18:12 by Elliott810
Beautiful puzzle! Thank you:)
Reply: Thank you for the solve and kind comment Elliott!
on 22. April 2025, 17:31 by Piatato
Great fun!
Reply: Thank you Piatato for helping test this puzzle!
