Mountain sandwich sudoku
(Published on 12. February 2023, 23:01 by Nylimb)
Normal sudoku rules apply: Fill the grid with digits from 1 to 9, so that every row, column, and 3x3 box contains each of the 9 digits exactly once.
In addition, there is a mountain hidden in the grid. Its peak is at the 9 in the central box. The mountain consists of all cells which can be reached from the peak by repeatedly moving from a cell to an orthogonally adjacent cell containing a smaller digit. (See example below.)
Each clue outside the grid shows the sum of the mountain cells between the 1 and the 9 in the clue's row or column. (It doesn't matter if the 1 and/or 9 are in the mountain.)
You can solve this in Penpa or in the CTC-app.
If you want to solve an easier puzzle of this type first, try Introduction to mountain sudoku. And if you like this puzzle, you might also like my other mountain sudokus.
Solution code: Row 1 and row 9.
Comments
on 21. March 2023, 02:36 by SimplePurpleFrog
Wow, a hard puzzle for sure, but what beautiful logic!
After a brief quick start, it took me a while to grasp the importance of the interactions between the mountain and the sandwich clues.
Very well executed.
on 9. March 2023, 05:34 by mnasti2
Another fun one!
on 2. March 2023, 07:02 by NIGHTCRAULER
Just finished the series, great work!
on 20. February 2023, 18:41 by Jesper
Enjoyed the series a lot, thanks!
@Jesper: I'm glad you liked them. There may be more to come eventually.
on 20. February 2023, 01:09 by Nylimb
Added link to introductory puzzle.
