Continuous Sums
(Published on 2. September 2025, 20:40 by mimec)
My today's puzzle is an interesting variant of the region sum lines rule. I'm not sure if I've seen it on LMG before.
Rules:
- Normal sudoku rules apply.
- Box borders divide the blue lines into segments. Digits within each segment must sum to consecutively increasing values along the line.
- Digits connected by a white dot are consecutive. Not all dots are given.
For example, 29-345-67 is a valid sequence of digits along this line, because the sums of digits in the segments are 11, 12 and 13:
Note: The starting and ending sum and the direction in which the sums increase must be determined by the solver. They can be different for each line.
Solution code: Row 9
Comments
on 3. September 2025, 12:50 by Sinuit
Great puzzle! Thanks for adjusting the line color. I appreciate that very much. And thanks to @ThePedallingPianist for suggesting that.
on 3. September 2025, 10:39 by mimec
fixed the line color
on 3. September 2025, 00:52 by ThePedallingPianist
What a lovely puzzle, thank you to gdc for the recommendation! It's interesting to see how much more forcing the regionometers constraint is when segment sums have to be consecutive! Very nicely constructed! My only constructive feedback is that the blue lines make pencil marks very hard to see - either a different colour or lower opacity would be a nice touch for the solver :)
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Thank you! You're absolutely right, I don't know where I got this color, I changed it to the standard one for region sum lines.
on 2. September 2025, 22:17 by gdc
Very fun and approachable.
This reminds me of the "regionometer" constraint by ThePedallingPianist (000H0Z).
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You're right, thank you!
