Sheep and Wolf Sudoku
(Published on 25. June 2024, 19:19 by mathpesto)
Rules:
Normal sudoku rules apply.
Diagonally adjacent cells joined by a black dot contain digits in a 1:2 ratio.
A circle contains a low digit (1, 2, 3) and a square contains a high digit (7, 8, 9). All low digits in the grid represent sheep and all high digits represent wolves. Middle digits (4, 5, 6) are neither animal.
Draw lines on the edges of some cells to create cages. Each cage contains at least one sheep or wolf, but a cage cannot contain both types of animals.
Lines cannot turn, except where marked with a black dot (they can also go straight through a black dot, however). Lines may intersect one another, but must travel straight at their intersection. Dots cannot be connected to more than one line, but dots are allowed to remain unused. Both ends of a line must reach the edge of the grid.
For those unfamiliar with sheep and wolf puzzles, here is a link to an explanation/example on puzzlink.
Solve online:
Solution code: Digits in Row 9 with dashes to represent lines between digits (e.g. 435-12-68-9-7)
Comments
on 29. June 2024, 12:22 by vfig
really enjoyed this combination of rules! great puzzle, thanks
on 29. June 2024, 01:47 by ryanprobably
Thought it was pretty challenging but maybe it's just because it's my first time doing a puzzle like this
on 27. June 2024, 10:21 by Sanklo
Excellent puzzle!! First time doing sheep and wolf and absolutely loved it, nice work!!
on 26. June 2024, 19:46 by fortunia27
Really enjoyed it! I'd never done a sheep and wolf puzzle before, so it took me a bit to get used to the rules. Loved the break-in
on 26. June 2024, 19:12 by Pink Flag
I've not seen the 1:2 ratio dots in corners before. Do they imply that both of the diagonals made by the surrounding squares exist in 1:2 ratios, or that only one of the two diagonals forms a 1:2 ratio, and the solver is left to deduce which one it is?
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Both diagonals have pairs of cells in a 1:2 ratio.
on 26. June 2024, 16:38 by Franjo
I like this new hybrid very much. Needed some fresh logic while solving the puzzle. The construction is perfect. Thank you so much for sharing.
on 26. June 2024, 03:11 by vitaminz
I really love this puzzle but I think the rules are not quite complete (as written, I think you could claim that one could simply draw some lines that create one cage and leave the rest uncaged). I think perhaps the simplest modification (and what I assumed while solving) is that each edge of the grid is considered drawn for the purposes of cages, which I believe is equivalent to requiring all cells to be in cages.
on 25. June 2024, 20:29 by Nordy
Took me a little while to grasp the Sheep and Wolf rules, but once I did it was smooth sailing! Some funky and fun logic in this!
