Knightsrun Sudoku
(Published on 10. November 2020, 20:56 by Prutsbeest)
Normal Sudoku rules apply.
In the finished solution, the numbers in the dashed killer cages must "connect" to cells of the same color (so cell R1C1 makes 3 connections to the other 3 red cells, cell R8C8 makes 2 connections to the other 2 blue cells, and cell R8C1 makes 3 connections to the other 3 green cells).
A connection is defined as a series of consecutive digits separated by a knight's move (in chess). Connections are allowed to overlap.
Within each connection, the consecutive digits either increase or decrease, not both.
The link to the f-puzzles page: https://f-puzzles.com/?id=yzcno8dq
For an easier puzzle of the same type, check out my Knightsjump Sudoku.
To illustrate the ruleset, here is a 6x6 example:
The solution to this example is shown below. As can be seen, the 1 in the red killer cage makes knight's moves with increasing consecutive digits to reach the 6 in the red cell. The same is true for the 5 in the green killer cage cell, connecting to the 2 in the other green cell.
Solution code: Row 4 followed by row 5.
Comments
on 6. June 2023, 04:04 by Kafkapharnaum
I can scarcely believe it, I have finally figured the whole thing out. I had tried it way back when you first recommended it to me, couldn't figure it out, and then, over the months, I must have tried 3 or 4 times and just couldn't figure it out, but after being stumped by other puzzles where I was just trying to go after my own flawed interpretations of the rule, FINALLY it clicked hehe. Oh man I'm so happy to cross this one off my backlog, and congrats on creating that headscratcher :D
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Hehe, congratulations on the solve and especially your perseverance! Glad you liked it :)
on 28. September 2021, 17:25 by Prutsbeest
Added German description using Google translate, so I hope it is somewhat understandable (sorry for any mistakes)
on 8. August 2021, 23:27 by filuta
Really neat although not too hard to spot break-in, and the rest is really well constructed too. The only thing that confuses me is that I did spend certainly more than twice as much time on your knightsjump puzzle with no progress at all, this really makes me wonder. Anyway, thanks for this amaznig puzzle.
on 6. July 2021, 22:49 by Prutsbeest
Changed comments.
on 6. July 2021, 22:47 by Prutsbeest
Changed images in 6x6 ruleset.
on 6. July 2021, 22:17 by Prutsbeest
Added a 6x6 example of the ruleset.
on 6. July 2021, 22:14 by Prutsbeest
Changed image of Sudoku + f-puzzles link.
on 22. November 2020, 10:17 by Prutsbeest
Added link to Knightsjump Sudoku which is an easier puzzle of the same type and contains a 6x6 example of the ruleset.
on 11. November 2020, 21:18 by CountSudokula
Spectacular construction. Looks crazy hard at first, but once you understand the rules (took me a while...) the break-in is very clever but attainable. I had to be careful not to unconsciously apply the anti-knight rule - broke the puzzle three times... Very enjoyable. Thanks
on 10. November 2020, 20:58 by Prutsbeest
No bifurcation needed, just logic :-)
