Troth (X-Sums, Sandwich, Little Killer)
(Published on 6. September 2025, 01:59 by juddimal)
Normal sudoku rules apply.
Purple clues are X-Sums. Orange clues are simultaneously X-Sums, Sandwich, and Little killers.
- X-Sums: A clue outside the grid gives the sum of the first X digits of that row or column from the direction of the clue, where X is the digit placed in the cell next to the clue.
- Sandwich: A clue outside the grid gives the sum of the digits appearing between the 1 and the 9 in that row/column.
- Little killer: A clue outside the grid gives the sum of all digits along a diagonal leaving the clue. In this puzzle. both diagonals sum to the clue.
The values for the X and Y clues must be deduced. They have a difference of 3.
https://sudokupad.app/u1b775w6qj
Example
The 6 is an X-Sum clue and sums the first three digits: 3+2+1=6
The 5 is an X-Sum clue and sums the first two digits: 2+3=5. The 5 is also a Sandwich clue and the digit between the 1 and 6=5. Finally, the 5 is a Little Killer clue. Both diagonals are 3+2=5 and 1+1+3=5.
Solution code: Column 1 (9 digits)
Comments
on 7. September 2025, 21:28 by Franjo
Amazing! Thank you very much for creating and serving this delicious sandwich. What a wonderful construction!
on 7. September 2025, 10:25 by Bankey
Fun puzzle. Thanks, @ juddimal :).
on 7. September 2025, 03:56 by ThePedallingPianist
Minimalism at its finest! Some miracle puzzles suffer from a bit of a clunky solving experience, but not this one - smooth as butter!
on 7. September 2025, 00:40 by juddimal
Thanks to Lorena and ThePedallingPianist et al. for testing.
on 6. September 2025, 16:32 by damo_89
Very impressive construction
