Squares In The Fog
(Published on 12. June 2024, 15:28 by RockyRoer)
Here's my first fog puzzle -- it's got a little bit of arithmetic, and discovery, and of course, sudoku. Have fun!
The Rules:
- Normal [Fog] sudoku rules apply - fill every row, column, and 3x3 region with the digits 1 to 9 once each. Placing correct digits will remove fog from surrounding cells to reveal more clues.
- [Squares] - Somewhere in the fog are 9 cells marked with squares - one in every row, column and 3x3 box. These squares must contain the digits 1-9 once each. Additionally, the sum of ALL the digits in the cells up to and including the cells containing squares, (top to bottom, left to right, as one might read) must always sum to a square number.
- For example, if R4C2 contains a square, then the sum of the digits in row 1, row 2, row 3, R4C1, and R4C2 must be a square number (in this case, specifically 144).
- The square numbers are 1, 4, 9, 16, 25, 36; 49, 64, 81; 100, 121; 144, 169; 196, 225; 256; 289, 324; 361, 400
The Puzzle:
Try it on Sven's Sudoku Pad
Solution code: The column containing the square containing the 4 from top to bottom.
Comments
on 12. August 2024, 19:26 by Chad
beautiful logic and very cleverly set! Loved every moment of this puzzle
on 2. July 2024, 19:38 by Philipp Huber
As always, a beautiful puzzle for every math nerd out there. :)
Thank you very much RockyRoer!
on 29. June 2024, 13:10 by Jackson Philion
Holy cow what an absolutely awesome puzzle… I certainly had to bust out my notebook and pencil, but once I started going the rest worked out so well. Flipping between the notepad and the puzzle as things revealed in the fog was super enjoyable. Loved it!
on 29. June 2024, 00:25 by Kawkaz
Wow! That was a very unique puzzle.
Loved it, took some thinking but once I got it, the solve path was straight-forward.
Amazing work RockyRoer
on 16. June 2024, 22:47 by fajoogaloo
Beautiful break in. It really surprised me how constraining square numbers can be. Excellent, creative use of fog of war! :)
on 14. June 2024, 03:58 by wenchang
Very nice new setting rule. Spoiler alert！https://youtu.be/i-epEsPcLAY
Thanks for the solve video! I couldn't hear anything - but I'm not sure i would have understood anything if i could. But as I watched I knew exactly what you were saying :-) Nice job!
on 13. June 2024, 20:01 by Franjo
Fan-tas-tic! Such a lovely idea in a perfect presentation. Thank you so much for sharing this wonderful masterpiece.
on 13. June 2024, 16:10 by wuc
Awesome. If you overcome the hurdle of really open a speadsheet for some notes it is not that difficult. But for me as a math guy a brilliant constraint. Thx.
on 13. June 2024, 14:38 by StephenR
Great idea, beautifully executed, thanks.
on 13. June 2024, 05:00 by Big Tiger
Once I understood the rules (albeit by "cheating" to see what showed up under the fog), I was able to back up, pretend I hadn't seen anything, and solve it - and it was quite fun! I won't be surprised if this gets a CTC solve - clever idea, well executed.
on 12. June 2024, 21:25 by trashghost
I really enjoyed all the arithmetic in this!! I love breaking out a pencil, paper and my calculator to do some good ol’ math :) Thanks for the puzzle!
on 12. June 2024, 21:13 by bansalsaab
I kept staring at it for a long time before realizing that some empty cells were given that dont have squares. I had not taken those into account.
on 12. June 2024, 20:37 by RockyRoer
Grammar.
on 12. June 2024, 20:36 by RockyRoer
Clarified instructions per Big Tigers suggestion.
on 12. June 2024, 16:09 by rameshsrivats
Absolutely brilliant puzzle. Looked very intimidating at the start. But once I got the concept it was totally smooth. managed to finish it in 28 minutes.
