This puzzle is inspired by the work of udukos, specifically this puzzle.
Normal Sudoku rules apply.
X-Sums: Clues outside the grid give the sum of the first X digits in the row or column reading from the direction of the clue, where X is the digit placed in the cell next to the clue.
Killer: Digits in cages must not repeat, and must sum to the number in the top left corner.
Hybrid: Killer cages may leave the grid. Caged cells outside the grid act as X-Sums clues. A double-digit X-Sums clue inside of a killer cage prevents both of its digits from appearing anywhere else in the cage (this does mean 11, 22, 33, and 44 are disallowed as X-Sums clues, as those would repeat digits in a cage).
For answer check to work, use "Sudoku" to place all of the digits in the grid, and "Number" to place all of the X-Sums clues affected by cages.
Solution code: Column 4, column 6.
on 2. November 2022, 14:48 by Silverstep
Hard puzzle, around the same difficulty as udukos's. I'd recommend new solvers to first check out udukos's version.
on 31. October 2022, 16:44 by cdwg2000
Very nice!
on 20. October 2022, 16:59 by Al Fresco
Some very nice logic. Thanks for setting
on 5. October 2022, 20:07 by Playmaker6174
Wonderful and lovely puzzle! The wording kind of baffled me at first in terms of how the cage total works but after understanding its actual meaning, it's a great fun solve with lots of engaging yet intricate logic, and I'm glad that I finally caught up with your list x)
on 25. September 2022, 23:49 by jovi_al
no change
on 25. September 2022, 20:17 by Piatato
Awesome puzzle! A series of lovely deductions with great rewards. :-)
on 23. September 2022, 11:07 by Jesper
Very enjoyable, thanks!
on 23. September 2022, 07:26 by marcmees
very nice. thanks.
on 22. September 2022, 23:54 by ONeill
This is definitely my favourite ruleset at the moment. Thanks for the great puzzle
on 22. September 2022, 20:41 by KNT
Maybe I’m biased because I have set with a similar ruleset myself, but I don't think this is too tricky. Very fun puzzle to test, and I would like to see more clues-going-outside-the-grid type stuff from everyone. Such an awesome sudoku subgenre.
on 22. September 2022, 20:33 by Niverio
It was lots of fun to collab test this one out! Some neat arithmetic tricks with some jovi shenanigans involved :)