Normal sudoku rules apply: Fill the grid with digits from 1 to 9, so that every row, column, and 3x3 box contains each of the 9 digits exactly once.
The blue lines are "average lines": In every group of 3 successive digits along a line, one digit is the average of the other two. For example, a line of 4 cells might contain 2135; 2 is the average of 1 and 3 and 3 is the average of 1 and 5.
I'm giving this an initial difficulty rating of "hard" because the break-in is a bit tricky. After that it's fairly easy.
Solution code: Row 2 and row 8.
on 9. September 2024, 06:57 by Nylimb
Added '#1' to name.
on 2. August 2023, 15:43 by bodemeister
Box 4 was a bit tedious for me. I knew a rule of thirds and identified a triple, but I felt I had to eliminate many potential chains before proceeding. I probably missed an easier way. Good puzzle idea though! This might be the first puzzle where I had four boxes completely solved and not a single mark written in the other 5 boxes! Thanks for the puzzle!
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@bodemeister: Thanks for your comment. I've added a hidden comment showing how I get boxes 4 and 5.
on 5. July 2023, 01:03 by ScatterBrain
Interesting idea. Thanks for setting!
on 4. July 2023, 06:58 by oxjphs
Very fun puzzle! I hadn't done a average line sudoku before, so the logic was difficult to comprehend initially, but it went smoothly once I started making progress.
@oxjphs: I'm glad you liked it. As far as I know, this is the first puzzle with this rule, although I wouldn't be surprised if someone has made one before.
on 4. July 2023, 04:35 by Nylimb
Fixed a typo.