Skyscraper Sums Deconstruction
(Eingestellt am 24. Januar 2024, 04:07 Uhr von Tacosian)
I recently solved Chaotic Skyscraper Sums by Florian Wortmann and Basic Skysums by heliopolix, and I fell in love with the skyscraper sums constraint. I realized that a deconstruction grid could provide an interesting twist to the logic that I saw in those puzzles, and this is the result of that idea. This puzzle is quite hard, but I assure you that bifurcation is never necessary.
Rules- Fill the grid with nine non-overlapping 3x3 square regions, such that each region contains the digits 1-9 once each and no digit repeats in any row or column. Cells outside regions do not contain digits.
- Digits in the grid represent skyscrapers of that height. Higher skyscrapers obscure smaller ones. A clue outside the grid is the sum of all visible skyscrapers in the corresponding row/column from the clue's direction of view. 'Less than' clues are allowed to be 0, meaning that no digits are seen.
The following image is an example of a valid grid in which there are 6 regions containing the digits 1-6. It is not a playable puzzle; it is only intended for demonstration purposes.
SudokuPad link: SudokuPad
Penpa+ link: Penpa+
Lösungscode: From top to bottom, column 8 followed by column 10. If a cell does not contain any digits, enter 'X'. The solution code for column 4 followed by column 5 of the example would be 46X5321XX4612XXX.
Kommentare
am 5. April 2024, 22:28 Uhr von Agent
Outstanding puzzle! Very clean logic.
am 13. März 2024, 09:06 Uhr von Oripy
What a beautiful puzzle! I'm glad it was recommended to me. The break in seems impossible at first but once you finally find it it is so rewarding!
am 6. März 2024, 13:51 Uhr von Fool on Hill
Great puzzle - the detailed interaction between the clues and the deconstruction logic had features I hadn't seen before and was very tightly constructed.
am 3. März 2024, 23:33 Uhr von Silverstep
very happy to be the tenth person to leave a beauty rating and see the 100% pop up. I like the class of puzzles that is virtually impossible to solve if you don't know certain theorems; and yet becomes painfully trivial once you know it.
am 28. Februar 2024, 11:44 Uhr von rubbeng
Wonderful!
am 30. Januar 2024, 23:59 Uhr von Jesper
Great puzzle, thanks!
am 25. Januar 2024, 14:08 Uhr von MagnusJosefsson
Fantastic puzzle! A really cool demonstration of how powerful deconstruction logic can be, given how unconstrained the grid seems at first.
am 25. Januar 2024, 13:34 Uhr von sanabas
incredible puzzle
am 24. Januar 2024, 19:47 Uhr von samuel1997
Tacosian, take a bow! I am speechless about this puzzle! I can't even believe that I can solve this puzzle!
am 24. Januar 2024, 14:13 Uhr von Myxo
Amazing puzzle, I loved it!
