X-Sums / Skyscraper Killer Sudoku
(Published on 16. September 2022, 18:17 by KNT)
An area outlined by dashes is called a killer cage, and the numbers in a killer cage must sum to the value in the top left corner. All individual digits in a killer cage must be different. A number in a killer cage outside the grid fulfills one of two possible clue types, and if two numbers outside a row or column on the same side of the grid are in killer cages, they are of different types. The types are as follows:
Call the nearest number inside the 3x3 grid sharing a row or column with the clue, X. The number in the cage is the sum of the first X cells seen when looking into the grid from the direction of the clue.
Treat each number N as a building of height N. The number in the cage indicates the amount of buildings seen inside the 3x3 grid from from that direction, where taller buildings hide shorter buildings.
SudokuPad
Solution code: Row 5, Row 6
Comments
on 19. August 2024, 13:56 by madhupt
This was really hard for me but it is a fantastic puzzle, as expected from KNT. The solve path is really tight but the rules really interact wonderfully well. It is such a treat! Thanks for sharing.
on 5. April 2024, 00:39 by Agent
Incredible puzzle! So many cool deductions that came out of nowhere.
on 2. January 2024, 01:38 by clover
remarkable
on 11. April 2023, 23:45 by Piatato
Tough one, but super interesting throughout!
on 8. April 2023, 17:58 by konklone
This was terrific! This is the first puzzle where I've dared going off of the CtC ranch and not had a video to fall back on if I got stuck. I am glad I made it, and enjoyed all of the weird logic and surprises along the way!
on 14. November 2022, 17:36 by lerroyy
Great puzzle! thanks
on 27. October 2022, 18:11 by Silverstep
Very beautiful. The cages that are fully outside the grid are more helpful than I thought they would be.
on 25. September 2022, 17:29 by AnnaTh
Absolutely stunning!
on 25. September 2022, 17:04 by Mody
Großartig!
on 19. September 2022, 11:12 by udukos
Wonderful puzzle with very nice interactions between the two constraints! I am glad I was able to inspire an amazing setter like you. :)
on 18. September 2022, 02:01 by thoughtbyte
This one was a journey for me, thanks for the sanity checks along the way. Loved this puzzle, it was amazing, as always. Thanks KNT!
on 17. September 2022, 20:41 by LCJ1998
Fantastic!
on 17. September 2022, 19:41 by mnasti2
First KNT puzzle I didn’t run and hide from, and glad I didn’t! Very fun and smooth and interesting
on 17. September 2022, 18:57 by ONeill
Great puzzle, thank you :)
on 17. September 2022, 09:42 by marcmees
very beautiful KN(o)T to unravel. thanks
on 17. September 2022, 05:24 by KNT
thank you all for the kind feedback! I had a lot of fun setting this puzzle, and I will probably make more "clues that go outside the grid" puzzles in the near future!
on 17. September 2022, 03:57 by Koalagator2
Buttery Smooth
on 17. September 2022, 03:46 by cdwg2000
Very nice!
on 17. September 2022, 03:22 by harrison
Really fun, but never felt impossible! Great job
on 16. September 2022, 22:35 by RJBlarmo
Very fun, each of the four corners of the grid had some really interesting deductions!
on 16. September 2022, 21:50 by MagnusJosefsson
Fantastic! These are so much fun to solve. Great tight solution path with minimal clues made this one very rewarding!
on 16. September 2022, 21:21 by purpl
Okay but how is this possible? I very much liked the contrast between skyscraper and x-sum values.
on 16. September 2022, 20:50 by KNT
Clarified rules about the digit zero
on 16. September 2022, 20:17 by Jesper
Very nice, definitely reminds me of some of udukos' puzzles!
on 16. September 2022, 18:32 by polar
Really lovely solve and super smooth. Thanks :)
on 16. September 2022, 18:22 by Vebby
Great concept, great fun! Thanks KNT! :)
on 16. September 2022, 18:21 by Niverio
You keep coming up with wacky rulesets that are always fun to solve ;)
