Mixed Bag
(Published on 25. September 2025, 05:16 by MSDOS)
click on image to play
This puzzle was made for Scojo's weekly prompt. The prompt redeemed by Dorlir, and was to use any number of constraints, but only one instance of any given constraint. I hope you enjoy!
Rules
Normal sudoku rules apply.
Equal Split Lines: The line that contains dots is an Equal Split Line. Dots split the line into segments with equal sums. Digits may repeat on the line but not within a segment.
Index Lines: The line that contains a diamond at one end is an Index Line. The digit in the Nth cell along the line (starting from the diamond) indicates the position along the line where the digit N appears. ex. If a diamond cell contains a 3, the third cell along the line must contain a 1.
Tentropy Lines: The hollow line is a Tentropy Line. Every set of 4 adjacent digits on the line must contain a digit from each of the X-pair (ten-pair) subsets of {1,9}, {2,8}, {3,7}, and {4,6}. A 5 may not appear on the line. Digits on the line may repeat if allowed by other rules.
Killer Cages: Digits in a cage may not repeat and must sum to the value indicated in the top left corner.
Sandwich Sums: A clue outside the grid indicates the sum of digits that sit between the 1 and 9 in the corresponding row.
X Sums: A clue outside the grid indicates the sum of the first N digits in the corresponding row where N is the first digit seen by the clue. (The digit N itself IS included in the sum.)
Up to N Sums: A clue outside a Row or Column N indicates the sum of all digits up to the cell that contains the digit N. (The digit N itself is NOT included in the sum.)
Digits separated by a white dot are consecutive.
Digits separated by a black dot are in a 1:2 ratio.
Play on SudokuPad!
Solution code: Column 3 from top to bottom. (9 digits)
Comments
on 30. September 2025, 19:25 by MSDOS
(added the missed 'killer cage' rule)
on 26. September 2025, 15:32 by Virux
Very nice and satisfying puzzle. Allthough I would even put it closer to 4 stars, as it felt really hard due to having to use a lot of clues together to gather the smallest clues. But man what a setting. I think I'll will never understand how you setters get ideas like this.
on 25. September 2025, 20:50 by Exigus
Great puzzle, thanks!
on 25. September 2025, 20:09 by dumediat
Excellent puzzle! Agreed that the constraints interacted beautifully with one another. There wasn't much pure sudoku left for me to do once all constraints were used, but perhaps I found a different path.
on 25. September 2025, 14:23 by superkinkel
I liked it a lot, the interactions between the constraints are brilliant. I was however a bit frustrated by the end phase, where all constriants were resolved and (at least for me) a super hard Sudoku remained.
