ıI Balance Loop II
(Published on 20. January 2024, 07:15 by ElChiglia)
---- RULES ----
Normal Sudoku rules apply: Fill the grid with digits 1 to 9 appearing once each in every row, column, and 3x3 box.
Balance Loop: Draw a single 1-cell-wide loop of orthogonally connected cells into the grid that enters no cell more than once. The loop must pass by all cells containing squares or circles. The loop may pass straight through circles and squares or may turn at them. The loop acts as a parity line. Adjacent cells along the loop have opposite parity.
Squares: Squares must have two loop segments of equal length extending from them before turning. A digit in a square equals the sum of the lengths of both segments.
Circles: Circles must have two loop segments of unequal length extending from them before turning. A digit in a circle equals the sum of the lengths of both segments.
Little Killers: A clue outside the grid is the sum of the digits along the indicated diagonal.
---- LINKS ----
Solve this puzzle in the CtC app
Solve this puzzle on f-puzzles.com
---- EXAMPLE ----
Solve this example in the CtC app
Solve this example on f-puzzles.com
Note: in the 6x6 example, adjacent digits along the loop differ by at least 3.
This Sudoku is part of my series of "build-your-own-loop Sudokus". If you liked solving this puzzle or if you prefer other combinations of loop logic and constraints, feel free to give the other sudokus of the series a go too:
| Loop Logic | Loop Constraint | Further Constraints | ||
|---|---|---|---|---|
| Entropic-Zipper- Loop |
Counting Cells | Entropic Line | Zipper Lines X-clues |
|
| Hiking-through- the-Fog Loop |
Signposts | Dutch Whisper, Polarity Line |
Kropki Dots X-clues |
|
| Renbanimo Loop | Pentominos Guiding Cells |
Renbanimos | Kropki Dots Odd cells |
|
| Deceiving Loop | Wrogn Clues | Wrogn Clues | 9 different constraints |
|
| Count-the- Whispers Loop |
Counting Cells | German Whispers | Kropki Dot | |
| Whisper-me- Sum-thing Loop |
Line-sums | German Whispers | Kropki Dots | |
| Road Running Loop |
Road Runner | Parity Line | Kropki Dots | |
| Magically Modifying Loop |
- | Incrementers, Decrementers, Nullifiers |
Magic Squares, Killer cages, Kropki Dots |
|
| Skiing Loop | Gates | German Whispers | Kropki Dot, Between Lines |
|
| Behaving Loop | 3x3 boxes | Polarity Line | Kropki Dots | |
| Magical Loop | Guiding cells | Modular Line | Magic Squares | |
| Foggy Loop | Guiding cells | Parity Line | Fog of War, Killer Cages |
|
| 10-Suȵ Loop | Moon-or-Sun | 10-Line | Killer Cages | |
| Counting Loop | Galaxies | Counting Line | Killer Cages, Kropki Dots, Quadruple Clues |
|
| Shining Loop | Moon-or-Sun | Parity Line | Killer Cages | |
| Interfering Loops | Slitherlink + Masyu |
Entropic Line + Parity Line |
Killer Cages | |
| Slithering Loop | Slitherlink | Entropic Line | Killer Cages, Little Killer |
|
| BigBang Loop | Galaxies | Parity Line | Row/Column Indexer, Kropki Dots |
|
| Summing Loop | Star Battle | Region Sum Line | Killer Cages, Skyscraper, Kropki Dots |
|
| Whispering Loop | Star Battle | German Whispers | Sandwich Sum |
Solution code: Column 8, followed by row 8
Comments
on 9. September 2024, 11:09 by AsgarArn
Great puzzle! fun to solve!
The note in the 6x6 example must be from another puzzle, or at least for m eat do not make sense
on 29. August 2024, 08:02 by AsgarArn
Great puzzle! fun to solve!
The note in the 6x6 example must be from another puzzle, or at least for m eat do not make sense
on 23. April 2024, 20:20 by virus_dave
Cute and nice (slightly simpler) change from your other loop puzzles.
This one really needs the example, as there's at least one component of the rules that isn't necessarily obvious at all, but is revealed by the smaller example.
on 2. March 2024, 13:41 by sorryimLate
Really interesting and fun loop building! I wonder why so few people have solved this. I also liked how you could determine the exact meaning of the rules even if you don't look at the example puzzle. I soon found out that my original interpretation doesn't work.
on 20. January 2024, 16:35 by lordovol
I really love this loop puzzles. I found the difficulty between 2 and 3 stars
on 20. January 2024, 09:25 by EFlatMinor
Another wonderful loop puzzle, thanks for setting!
