Glowworms
(Published on 17. November 2023, 00:03 by mathpesto)
This puzzle was made for zetamath's "sortadoku" setting challenge.
Rules:
Place the digits 0–9 so that no digit repeats within a row, column, or 3x3 box. (The leftmost column, uppermost row, and every 3x3 box will have exactly one digit omitted; the remaining rows and columns will contain all ten digits once each.)
Within the main 9x9 grid, cells are either wall (shaded) or cave (unshaded) cells. Walls are orthogonally connected to the edge of the main grid, and the cave is one orthogonally connected area. Circles are cave cells; the digit in a circle equals the amount of cave cells seen in that row and column, including itself. Walls obstruct vision.
Digits outside the main grid give the amount of wall cells in that row/column.
Adjacent digits on a green line differ by 5 or more.
Solve:
Solution code: Row 10 (left to right, 10 digits)
Comments
on 10. December 2023, 19:27 by wisty
This puzzle was so creative! Lots of surprisingly smooth deductions considering there are some fascinating global implications. Thanks for helping me get over my fear of german whispers a bit :)
on 3. December 2023, 17:09 by kamkam
Wow what a harsh puzzle ! Loved it
on 23. November 2023, 21:13 by Nordy
Melted my brain. Loved it
on 18. November 2023, 21:39 by Snookerfan
Brilliant puzzle! Very hard even after I understood something important about scanning of the boxes. Thank you
on 17. November 2023, 21:37 by NRB
As expected. This was a pleasure and a joy. Tricky in the middle, but worth every of the many minutes.
on 17. November 2023, 21:20 by Playmaker6174
A very interesting puzzle overall that requires a few more extra thoughts to understand how the scanning would work in here, thanks for the fun and lovely puzzle! :)
on 17. November 2023, 21:18 by Myxo
Very nice puzzle!
on 17. November 2023, 11:07 by Bankey
Very original, very challenging, and very enjoyable! Thanks, @ mathpesto :).
on 17. November 2023, 04:35 by RJBlarmo
Very neat deductions!
on 17. November 2023, 04:32 by mnasti2
Very cool things to discover! Fun fun
on 17. November 2023, 00:59 by AnalyticalNinja
Wow, that was very tricky. Incredible puzzle, but definitely quite hard. Seriously well done making this one!
on 17. November 2023, 00:45 by NRB
This sounds lovely. Can’t wait to give up a few hours to solve this.
