Skyscraper Killer Sudoku
(Published on 30. October 2020, 17:22 by SudokuExplorer)
It is an orthogonally connected region of width one (form a line of cells).
No digit repeats in the cage/line.
Each cell of the line is a skyscraper with that height.
This line is observed from both ends of the line, and higher skyscrapers block the view of lower skyscrapers.
The sum of all visible skyscrapers is the same when observed from either end of the line.
This common sum is written at the top-left corner of some skyscraper cages (and wherever this common skyscraper sum is not given, you must work it out during the solve).
For example, the line of skyscrapers 45386712 has common skyscraper sum 4+5+8=17=2+7+8.
You can solve this on Penpa+ or F-Puzzles. Enjoy!
Solution code: Enter 1st and 5th rows
Comments
on 31. July 2021, 20:45 by SudokuExplorer
Fixed labels/tags
on 4. January 2021, 18:15 by glum_hippo
I'm sorry to say I wasn't aware of this puzzle before making 000536... what a remarkable mind-meld we've had! Look forward to trying this one soon.
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Haha, I'm glad you also came up with a similar idea (it gave me a chance to solve one!). I hope you'll like it :-)
on 17. December 2020, 16:31 by Dina
A gentle introduction to a fun killer variant. I hope you make more in the future :-)
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I'm pleased you enjoyed the ruleset! It's likely I will explore it again in the future :-)
on 2. November 2020, 02:43 by Storm
Very interesting ruleset! Thanks for the introduction :-)
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I'm glad you enjoyed it :-)
on 2. November 2020, 01:16 by CaneloC
Interesting killer variant! 4-cell cages are quite special in this variant. Thanks for the fun puzzle :-D
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They are special, indeed! I'm pleased you were entertained :-)
on 1. November 2020, 13:42 by SudokuExplorer
@TimE Thanks for the feedback. :-)
I tried to make it approachable since it was a new variant (and not everyone has solved a skyscraper puzzle before).
on 31. October 2020, 21:56 by TimE
Easier than expected! Interesting variant which combines skyscrapers with killer cages. Enjoyed the interaction of the 6-cell skyscraper lines! :-)
Would love to try a harder one in the future.
on 31. October 2020, 14:41 by SudokuExplorer
Clarified that all cages/lines are skyscraper lines (including those whose common skyscraper sum is not given).
on 31. October 2020, 14:10 by SudokuExplorer
@cdwg2000 Think of the skyscrapers as being fenced off (instead of being trapped in a cage ;-)).
If you were being serious, then all cages/lines in this sudoku are skyscraper lines. Including the ones whose common skyscraper sums are not given (they are to be worked out for each skyscraper cage/line during the solve).
on 31. October 2020, 07:21 by cdwg2000
Excuse me: Can there still be skyscrapers in the cage！！！
on 30. October 2020, 21:22 by SudokuExplorer
Added example of skyscraper line/cage to f-puzzles rule set
on 30. October 2020, 18:29 by SudokuExplorer
Inspiration for this puzzle type comes from Undar Beyond's Lunchbox idea (sandwich clues inside killer cages/lines)
