Diagonally Cut Sandwich
(Published on 18. May 2021, 11:49 by RockyRoer)
Here's another puzzle in my collection of Sandwich puzzles without givens. If you're interested in others:
- Ren Ban Sandwich
- Sandwich Capsules
- Palindrome Sandwiches
- Clue Sandwich ← needs a rating!
- 159 Sandwichs ← needs a rating!
- Friendly Sandwiches
- XV Sandwiches
This puzzle was inspired one cold winter day when cooking some grilled cheese, and my daughter complained that I didn't cut her sandwich diagonally. And then she complained that her sister's half was bigger...
The Rules:
- Normal Sudoku rules apply (fill every row/column/box with the digits 1-9)
- Numbers along the marked diagonal cannot repeat.
- Numbers on the outside are the sum of the digits sandwiched between the 1 and the 9 in that row or column
- The sum of the numbers in the cells above the diagonal is equal to the sum of the numbers in the cells below the diagonal.
The Puzzle:
Link to solve on f-puzzles
Hints: This puzzle will likely require some shading of cells, or some chaining pencil marks. What I do (but i solve nearly everything on paper) is write 19's and 91's. This will prove useful multiple times in the solve. Good luck!
Solution code: The numbers along the main diagonal from top to bottom (9 digits):
Comments
on 5. September 2021, 01:15 by uvo_mod
Labels angepasst.
on 19. May 2021, 06:40 by cdwg2000
Very nice!
on 18. May 2021, 15:38 by SudokuExplorer
The sandwich clues are fairly easy and I enjoyed the endgame logic to disambiguate the grid. Thanks for another innovative and fun puzzle! :-)
on 18. May 2021, 14:57 by henrypijames
No 19-91 pencilmarking necessary - coloring is a much better alternative (and crucial in the endgame). Only 3 stars difficulty for me.
on 18. May 2021, 14:37 by marcmees
an excellent opportunity to teach your kids the properties of symmetry of a square and as an extension ask your bakery to bake different forms of bread. :-)
Nice puzzle, solves smoothly.
on 18. May 2021, 14:08 by Piatato
Cute background story! Good puzzle too. :-)
on 18. May 2021, 12:42 by henrypijames
"The sum of the numbers in the cells above the diagonal is equal to the sum of the numbers in the cells below the diagonal." Is this unrelated to the sandwiches? I.e. the 36 digits in the lower-left half sum to the same number as the 36 digits in the upper-right half?
Reply: That is correct. (Hint: You won't have to consider quite that many digits... ;-)
on 18. May 2021, 11:56 by RockyRoer
Added German translation (with google translate - not a native speaker - let me know if something should be changed :-)
