Anti-Knight Silent Killer Sudoku
(Published on 15. July 2020, 11:10 by SudokuExplorer)
Rules for colour version:
Anti-Knight constraint = No two cells a chess knight's move away can be the same number.
In each cage, no number repeats.
Cages of the same colour have the same cage sum.
(Cages of different colour don't need to have different cage sums)
You can try this version on Penpa-Edit.
Rules for equal sign version:
Anti-Knight constraint = No two cells a chess knight's move away can be the same number.
In each cage, no number repeats.
Adjacent cages with equal signs next to them have the same cage sum.
You can try this version on Penpa-Edit.
I wasn't sure of the difficulty of this one, since there are some algebra tricks that make it a much easier puzzle.
I hope you enjoy solving this one!
Solution code: Enter the first row (left to right) followed by the second column (top to bottom) without any spaces/commas. Eg 123456789123456789
Comments
on 31. July 2021, 20:20 by SudokuExplorer
Fixed tags
on 30. December 2020, 17:28 by Dina
Very nice algebra trick!
on 25. July 2020, 14:11 by SudokuExplorer
added anti-knight tag
on 17. July 2020, 12:38 by SudokuExplorer
@zhergan I'm pleased you liked it :-). It was quite fun making this one, and the process gave me ideas for potentially a new one. Hopefully I will be able to tie all the logic together and make a future silent killer.
on 16. July 2020, 23:58 by zhergan
Very nice idea! Thanks:)
on 16. July 2020, 17:12 by SudokuExplorer
@marcmees I'm glad it went smoothly for you. There is an algebra trick which reduces the possibilities of the grey sum.
on 16. July 2020, 16:30 by marcmees
very nice ... solves smoothly once the values of the colored sums have been found
on 15. July 2020, 14:07 by SudokuExplorer
@Luigi Yeah, I left out the equal signs to make it look prettier. But cages with different colours may have the same cage sum.
on 15. July 2020, 13:58 by Luigi
Since cages with the same colour do have the same cage sum, I guess the equal signs are missing?
on 15. July 2020, 13:54 by Luigi
Since cages with the same colour do have the same cage sum, I guess the equal signs are missing?
on 15. July 2020, 13:06 by SudokuExplorer
At first I wrote that the rules are identical to the one in the link, but they are very similar.
on 15. July 2020, 11:17 by SudokuExplorer
Added penpa links to try the sudoku
