Proper Destruction
(Published yesterday, 00:00 by NXTMaster)
This puzzle is the direct sequel to
Chaos Destruction. The inspiration for this puzzle was a simple question: what if Chaos Destruction had negative constraints? It is the second puzzle I ever set using my Destruction ruleset, and it is a considerable step in difficulty.
The rules are as follows:
- Place the digits 1-9 once in every row, column, and marked diagonal.
- Chaos Destruction: All given regions must be "destroyed" by making sure they do not contain all the digits 1-9. The grid also consists of nine hidden, orthogonally connected regions that each do contain all the digits 1-9. Digits in circles represent how many of its orthogonally and diagonally adjacent cells, including itself, belong to both the given and hidden regions where the circle resides (i.e., where they overlap).
- Proper Destruction: All circles have been given. Additionally, every region is destroyed by a unique digit (i.e., no two regions may share the same repeating digit).
The puzzle is available on SudokuPad with answer check on only the sudoku digits but also available on Penpa+ with answer check on sudoku digits and hidden region boundaries using the Green Edge tool (mark the perimeter/border). Have fun destroying!
Solution code: Column 6 (top to bottom). Include a "|" to separate digits belonging to different hidden regions.
Last changed on -
Solved by blueberrypug, War
Comments
Last changed yesterday, 21:35yesterday, 21:13 by War
The sudoku was quite easy, Proper destruction + and - is very constraining. The region drawing was incredibly difficult.
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Fair assessment. When setting the puzzle, I struggled heavily making sure the hidden regions had a unique configuration without ruining the negative constraint. The difficult region drawing with a relatively easy sudoku is what makes Proper Destruction stand out among all the other destruction puzzles.
Last changed yesterday, 11:50yesterday, 06:04 by blueberrypug
brutally hard, but I feel like I missed several key points that I should've seen sooner
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Thank you for the feedback. I tried to keep the given digits to a minimum without making the puzzle a guessing exercise.