Triple Duty Circles
(Published on 14. July 2024, 05:27 by apete)
Shade some cells such that all shaded cells form a single, orthogonally connected area and all unshaded cells form a single, orthogonally connected area.
No 2x2 region can be completely shaded or unshaded.
The shaded cells are walls and the unshaded cells are path.
The number in each circle shows the number of path cells (counting that one) that can be "seen" from that circle. Walls block vision.
The number in each circle is the number of circles with that number in a circle. (example: Having a 7 in a circle would mean that there are 7 circled 7s in the completed grid.)
The sum of digits along a segment of line between two circles is equal to the sum of the digits in those two circles.
Solution code: Just the path cells in row 4 (from left to right with no spaces).
Comments
on 5. June 2026, 02:40 by apete
Fixing typo
on 5. June 2026, 02:39 by apete
Trying again. Changes didn't save.
on 5. June 2026, 02:38 by apete
Updated image, added link, made circles and lines darker/more visible in the puzzle.
on 5. August 2024, 18:10 by puzzlepandit
Nice Puzzle.
on 22. July 2024, 20:07 by zrbakhtiar
Has to be on path, or else circle is 0
on 20. July 2024, 01:58 by apete
Lizzy01, thanks for the suggestion. Once I remembered to apply all the rules you provide, I was able to solve it. :)
on 20. July 2024, 01:57 by apete
Sorry for the ambiguity. Yes, the circles MUST be on the path.
on 14. July 2024, 17:31 by Lizzy01
Nice!
You might also like this one:
https://logic-masters.de/Raetselportal/Raetsel/zeigen.php?id=000GNK
It has multi-purpose circles too.
on 14. July 2024, 13:50 by lmdemasi
The concept of using the circles in three different ways is great. They fit together so nicely and the puzzle was very satisfying to solve.
