Under the Hill
(Published on 16. January 2023, 22:51 by Jay Dyer)
This puzzle was originally created for Zetamath's 39th birthday stream.
Rules:
- Normal sudoku rules apply.
- The digits on a line form a nonrepeating consecutive set in any order. Black dots connect two digits, one of which is double the other.
- Shade some cells, such that each orthogonnaly connected set of shaded cells (wall) is connected to the grid boundary, and the unshaded cells (cave) form a single orthogonally connected area.
- Each wall forms a killer cage, in which digits may not repeat. Each wall contains exactly one corner clue (and each corner clue is on a wall), and the sum of digits in the wall sum to the number in the clue.
Solution code: Rows 4 and 6
Comments
on 17. January 2023, 23:14 by Dot
It was really fun! Not so hard, but solving it gave me a lot of satisfaction.
on 17. January 2023, 23:06 by Christounet
Beautiful puzzle ! Loved the way it all played together ! Thanks.
on 17. January 2023, 12:33 by Jagga
Lovely puzzle, very nice flow. Thank you for the puzzle!
@madhupt A 2x2 is allowed to be fully (un)shaded.
on 17. January 2023, 12:17 by madhupt
A small clarification please. The wall has to be single width or can a 2x2 square be fully shaded?
Wonderful puzzle! Thanks for sharing.
@Jagga, thanks for the clarification. It was looking impossible otherwise.
on 17. January 2023, 06:24 by Xendari
Very cool puzzle! Loved the interactions between the walls, there were some fun deductions to discover.
on 17. January 2023, 02:32 by mathpesto
What a lovely puzzle! Brilliant interactions between the cave rules and the killer cages. :)
