Negative Lines Series #2 - All Lines Are Given (Negative Renban)
(Published on 5. April 2024, 22:56 by Mikemerin)
Part of the Negative Lines Series
Here is a document giving some theorems which can help visualize the grid, along with a few hints and explanations, and a SudokuPad/F-Puzzles script to check Renban errors as you solve.
This is a much easier puzzle than 189 Lines which uses the same Negative Renban ruleset and is meant to help discover its nuances.
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Normal Sudoku rules apply.
Renban: for numbers 2-8, row N (horizontal) column N (vertical) and box N's cells (both) all have lines N long in the listed orientations. Lines have consecutive digits in any order, can overlap, and all lines (189 total) are given.
I've included an example image below to help visualize this rule.
Kropki and XV: cells linked by black dots are in a 1:2 ratio, by X's sum to 10, and by V's sum to 5. Not all are given.
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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 R8C2. This is also in the document link above.
Therefore putting digits 13572468 in R8C1-8 would break the puzzle as there is now a run of 8 consecutive digits in any order.
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Here is a document giving some theorems which can help visualize the grid, along with a few hints and explanations, and a SudokuPad/F-Puzzles script to check Renban errors as you solve.
This is a much easier puzzle than 189 Lines which uses the same Negative Renban ruleset and is meant to help discover its nuances.
---
Normal Sudoku rules apply.
Renban: for numbers 2-8, row N (horizontal) column N (vertical) and box N's cells (both) all have lines N long in the listed orientations. Lines have consecutive digits in any order, can overlap, and all lines (189 total) are given.
I've included an example image below to help visualize this rule.
Kropki and XV: cells linked by black dots are in a 1:2 ratio, by X's sum to 10, and by V's sum to 5. Not all are given.
---
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 R8C2. This is also in the document link above.
Therefore putting digits 13572468 in R8C1-8 would break the puzzle as there is now a run of 8 consecutive digits in any order.
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Solution code: Row 5 (9 digits)
Last changed on on 6. April 2024, 00:15
Solved by SKORP17, FischmitFahrrad, agueybana, Woody03130
Comments
Last changed on 6. April 2024, 02:33
on 6. April 2024, 01:58 by FischmitFahrrad
Absolutely mindblowing puzzle! Initially was a bit intrigued by the rule set, but after solving the puzzle I nonetheless agree with your difficulty.
Love this idea and will definitely try your harder one as well.
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Glad you enjoyed it so much! Bring that knowledge you gained in this one to the harder one and it’ll make things much easier for you, and hopefully just as enjoyable!
If you liked this idea, I’ll have more puzzles in the series hopefully over the next few weeks.
-MM
