Shock Therapy
(Published on 25. October 2021, 00:42 by KuulGryphun)
The Rules:
- Standard: Normal Sudoku rules apply. Place the digits 1 through 9 in each empty cell. Digits must not repeat within the same row, column, or 3x3 region.
- Little Killer Arrow: Numbers outside the grid show the sum of the digits in the cells along the diagonal indicated by the arrow.
- Lightning Line: Yellow lines are lightning lines, and show the path of least resistance between the two circles at the ends of each line. The resistance of a cell is equal to the digit in that cell. A path's resistance is the sum of the resistance of all cells on it. The lightning line is THE path of least resistance - there are no other paths between those circles with the same lowest (or higher) resistance.
Links to Try: F-Puzzles / CTC
NOTE: F-Puzzles shows the lightning lines through the circles, but the lightning lines should not be considered to go through them - they terminate at the circles.
Please try my other puzzles as well! I only recently started setting puzzles and would really appreciate feedback!
Link to my other puzzles: Link
Solution code: Column 5, then column 9, each top to bottom, digits only
Comments
on 29. October 2021, 21:59 by uvo_mod
Labels angepasst.
on 27. October 2021, 06:14 by bsdude
Very nice.
on 26. October 2021, 15:00 by filuta
I also hope more people will solve this, such an original ruleset and very fun puzzle. Thanks.
on 25. October 2021, 23:20 by polar
I really enjoyed solving this puzzle! At first reading the rules, I thought it might be a bit laborious figuring out the different paths between circles and wasn't sure if it was my cup of tea. But once I saw the break in (which is fairly signalled) the solving path was very fun to find and the logic gave me quite a few aha! moments. I hope more people give this one a go :) Thank you for setting this!
Penpa+ link: https://git.io/JiCrj - I found some of the tools available in Penpa very useful indeed in keeping track of minimal lines ;)
on 25. October 2021, 05:46 by peterkp
Interesting rule set. It would be helpful to clarify a couple of things.
(1) I assume there is no relationship between values in the path cells and values in the circle cells (as compared with a between or lockout line).
(2) Can a potential alternative path go through a circle? (eg, is r6c4 and r7c3 a possible path between r5c5 and r2c8?)
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You are correct to assume (1).
Yes for (2) - cells with a circle are a potential alternative path for another line.
Similarly, crossing existing lines, and even travelling along them, are potential alternative paths for other lines. For instance, a potential path between r5c5/r8c2 would be r5c4,r5c3,r6c2,r7c2, which mostly travels along the existing line for r5c5/r6c1.
Thank you for asking and I hope that clarifies! --KG
