Chaos Construction: Oblivion
(Eingestellt am 26. Januar 2023, 06:00 Uhr von XeonRisq)
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This puzzle has been created to introduce the "Oblivion Cell" constraint. This puzzle shouldn't be too hard and has proven to have multiple solve paths during testing.
- Normalish Chaos Constructions rules apply.
- The digits 1 to 9 AND an oblivion cell must appear once in every row and column. Just the digits 1 to 9 must appear once in TEN total regions. Regions are to be determined by the solver, and must be a set of nine orthogonally connected cells.
- No 2x2 area can belong to the same region.
- Oblivion Cells: In these cells a digit cannot repeat, will never appear in regions, and must be from 0 to 9. In terms of rows/columns (normal sudoku), their value is not affected by normal cells. They must be part of a Renban or German Whisper line, and adhere to their specific rules.
- Lines: Digits on a Renban line (purple) must be consecutive, but in any order and may not repeat. Adjacent numbers on a German whisper line (green) must have a difference of 5 or greater and MAY NOT REPEAT. Every line will contain a single oblivion cell, at least two regions, and every region on a line will occupy the same number of cells.
- Square Cells: The digit in a square cell denotes the number of cells away an oblivion cell is in either the row or column.
- Outside Clues: The number outside the grid specifies how many unique regions exist BEFORE the oblivion cell from that direction in the row or column.
- Below is an example of a valid grid of the 5x6 in the bottom corner (including one more cell that completes the GW line): -On GW lines, digits do not repeat and adjacent digits differ by at least 5.
The rules are fairly long, though not too hard to understand, but can be tricky to use especially around the Oblivion cells.
-On Renban lines, digits do not repeat and are a set of consecutive digits in any order. (Some digits not shown)
-Both lines include an oblivion cell, have more than two regions, and the regions are split evenly on the line. (Some digits not shown)
-The digits in the square cells are that many cells away from an oblivion cell in that row/column or both.
-The outside clues accurately show the number of regions before the oblivion cell in that row or column.
-No 2x2 is occupied by a single region.
-Oblivion cells are unique and have no effect on normal cells, in reference to rows or columns.
Lösungscode: Row 8 followed by Column 6
Kommentare
am 26. Januar 2023, 21:36 Uhr von KNT
In the rules you say oblivion cells can be values from 0-9, but the regions contain values 1-9? So 0 may be in an oblivion cell? The example doesn’t address this.
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Very true. However, there are ten rows/columns, and the oblivion cells must be unique. Nevertheless, I should have also put that in the example; my apologies.
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I neglected to realize they were a disjoint set. Many rules to keep track of, so I missed that.
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Yeah, I know. It's definitely a downside to this puzzle. But once you get going, it's not that bad and has some interesting logic within.
am 26. Januar 2023, 18:54 Uhr von kjholt
This is one of my new favorites. Absolutely loved the rule and the way the logic flowed. Unfortunately I solved the sudoku part of the puzzle with only four regions fully discovered (then of course continued the construction to the end). Since I'm not a setter I'm not sure how to address that other than Penpa's answer check and/or incorporating the region borders in the solution code. I would definitely suggest the latter if you're able to edit without messing with the published puzzle :) but like I said this is one of my favorites, caveats included.
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Appreciate the feedback and giving this puzzle a shot. Given the ruleset, I intentionally made the solve path easier and much more flexible. The way you solved it is one of the ways I have seen in testing. Unfortunately, I either have to live with this as a possibility or make the puzzle much tougher and possibly frustrating. I intend to make more puzzles with this new constraint, so I wanted to make the intro puzzle more approachable.
am 26. Januar 2023, 15:10 Uhr von Chilly
Interesting rule set - hard but very nice.
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Appreciate it chilly. And it's probably as close to weird as to interesting, but that's probably why I like it! Thanks for the solve/feedback.
am 26. Januar 2023, 06:17 Uhr von Crusader175
None of the deduction are super difficult, just need to be very careful. Very nicely constructed. Absolutely enjoyed it!
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Happy you enjoyed it. I agree 100% with your assessment and couldn't have said it better myself. Thanks for the solve and feedback.
