X-Sums and Sandwiches
(Published on 17. August 2025, 14:01 by RockyRoer)
When I created Skyscraper Sums Sandwiches a while ago, it occurred to me that I hadn't yet mixed my favorite two variants together, so here you go:
The Rules:
- [Sudoku] Normal sudoku rules apply - fill every row, column, and 3x3 box with the digits from 1 to 9 once each.
- Clues outside the grid are simultaneously sandwich clues, and x-sum clues (i.e. if the sandwich clue is 13, then the x-sum clue must also be 13)
A single question mark must be a one digit number and a double question mark must be two digit number (no leading zeros).
- [Sandwich]: The sum of the digits between the 1 and the 9 in that row or column.
- [X-Sums:] The sum of the the first x cells in that row from the direction of the clue where x is the digit in the cell next to the clue.
The Puzzle:
Four solving options for you:
- Copy down this picture onto paper (that's my favorite!) or print.
- Simple Sudokupad Link:
- Sudokupad Link with room for outside clues. The answer check requires no large numbers around the outside.
- Sudokupad Link with Fog - for guided solve path - you'll have to pretend you haven't seen the grid.
Solution code: The row, or column, with the largest sandwich total, either from left to right, or top to bottom. This may or may not be one of the rows/columns marked with a clue. (9 digits)
Comments
on 18. August 2025, 12:19 by Exigus
Tricky but fair. Thanks!
on 17. August 2025, 22:22 by marcmees
Very nice, fun till the end. Approachable, but with care. Thanks
on 17. August 2025, 19:19 by Franjo
I refused the guided tour - and ran into problems. Caused by myself, of course. Looking back on my path the right way seems so clear and beautiful! Thank you very much for creating and sharing another incredible math sandwich.
on 17. August 2025, 15:25 by zeniko
That‘s another nice empty grid leading to a pleasantly tricky solve path. I got stuck twice and only at the end realized, that for that case you‘ve even been so kind to add a guided variant. Thanks for sharing.
