Negative Lines Series #3 - A Grid in A# (Negative Renban)
(Published on 8. April 2024, 20:24 by Mikemerin)
Part of the
Negative Lines Series
Here is a document giving some theorems which can help visualize the grid, along with a solve path, hints, and explanations.
Being a 6x6 grid, the filled in parts make A# chord on a guitar, hence the puzzle name, which is also an homage to Saves the Day's song "A Drag in D Flat".
Resist any urges to bifurcate!!! There is logic to solve the puzzle without it, however if you do end up bifurcating there is still a satisfying disambiguation once you finish pencil marking in the entire grid :) Either way, after solving feel free to restart and try it the other way to get the full experience!
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Normal Sudoku rules apply.
Renban: for numbers
2-5, box
N's cells all have orthogonal straight lines
N long, which have consecutive digits in any order, can overlap, and all lines are given.
I've included an example image below to help visualize this rule.
Minimum: the dot's digit is less than its orthogonally adjacent cells.
For clarification: top row boxes are 123, bottom are 456. Additionally all letters outside the grid are just for show.
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Solve in
Sudokupad (includes solution) or
F-Puzzles
Example Cell
This ruleset is similar to a Kropki puzzle with a negative constraint, where if "all dots are given" and none are in the grid, adjacent cells cannot be consecutive or be in a 2:1 ratio.
Here is an example of all the "missing" lines that would pass through
R5C2.
This is also in the document link above.
Therefore putting digits 1324 in R5C1-4 would break the puzzle as there is now a run of 4 consecutive digits in any order.
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Solution code: Row 4 (6 digits)
Last changed on on 8. April 2024, 22:40
Solved by SKORP17, Woody03130, Hierophis69, ordnanceordinance, EFlatMinor, Zandi