Cave Panem (Anti-XV Sandwich)
(Published on 27. February 2022, 07:22 by Phistomefel)
Rules:
- Fill the grid with the numbers from 1 to 9 so that in each row, column, and 3x3 block, each digit occurs exactly once.
- A number outside of the grid indicates the sum of the digits in the corresponding row or column that lie between 1 and 9.
- Orthogonally adjacent cells must not add up to 5 or 10.
Solution code: Row 9 and column 6
Comments
on 4. September 2023, 10:32 by snuuba
Very nice puzzle, thank you. After fully coloring the grid and all was left was to switch colors to numbers, I managed to fumble and ended up putting my 4's and 6's in the wrong way around and broke the final sandwich clue :)
on 9. June 2022, 12:13 by Phistomefel
@Christounet: Thank you! Also, this is a good observation, because I really enjoy discovering little peculiarities like this and building a puzzle around it. And in fact, I am a mathematician. :)
on 9. June 2022, 11:00 by Christounet
Very nice ! I like that kind of puzzle where you have to think about the clues and negative constraints outside the grid before you even start to put anything in the grid. As in mathematics, when you have to discover a theorem that's only valid in a given set with its basic properties. I noticed you tend to do that a lot in your puzzles.
on 12. April 2022, 15:17 by Prutsbeest
It's absolutely extraordinary that this puzzle has a unique solution! It took me a while because I got stuck somewhere in the middle but that made it even more rewarding when it finally cracked :-)
on 18. March 2022, 21:21 by DiMono
This was a fantastic puzzle, and on the easier side as your puzzles go, I found. It's interesting how so few clues are required for a unique solution with this ruleset.
on 18. March 2022, 01:03 by Jeet Sampat
Lovely construction. Thanks, @Phistomefel!
on 16. March 2022, 06:56 by jdesurra
Took me over 3 hours, but managed to solve it and really loved the logic. Clever break-in and interesting path for the middle solve.
on 13. March 2022, 07:52 by Crusader175
Very beautiful and very brilliant puzzle!
on 10. March 2022, 15:47 by Phistomefel
@SimplePurpleFrog and glum_hippo:
Thank you very much for the kind words! I am glad you solved and enjoyed the puzzle.
on 10. March 2022, 13:38 by glum_hippo
A beautifully smooth, thematic solve, resonant with peculiar little "echoes" everywhere.
on 10. March 2022, 01:56 by SimplePurpleFrog
A very hard but fun puzzle with a fabulously ingenious break-in. It takes me way to long to admit, but I am chuffed to be able to solve it at all :-) lots of staring aimlessly before dim bulbs light up...
on 4. March 2022, 10:34 by Phistomefel
Thank you so much for the kind feedback, Qodec and Snow! :)
on 3. March 2022, 21:03 by Snow the Jam Man
Absolutely brilliant. Really enjoyed every step of this one.
on 1. March 2022, 12:58 by Qodec
That was so much fun! Thank you very much!
on 1. March 2022, 10:26 by Phistomefel
I am glad that you two persevered and after all enjoyed the puzzle, Lucy and Bankey! :)
on 28. February 2022, 19:17 by Bankey
Being able to solve a Phistomefel puzzle is one of the pure joys of life !! Messed up the endgame on first attempt, but came back today and got thru. What an elegant puzzle ! Thanks, @ Phistomefel :-)
on 28. February 2022, 06:59 by LucyAudrin
On my first attempt I made a mistake somewhere, but I started over and persisted, and the second attempt went much smoother! What a lovely puzzle. :D
on 27. February 2022, 21:07 by Phistomefel
Thanks a lot for the warm feedback, folks! I am really glad if you found the solving path interesting.
on 27. February 2022, 18:42 by TheRiddler
Very cool puzzle. Challenging as usual, but nothing inhumanly hard this time :-)
on 27. February 2022, 15:04 by aruvi
he's done it again! what a sublime work of telegraphing each step so tightly that it almost feels like the setter is holding your hand and teaching you the secrets of the consequences of the constraint... just brilliant
on 27. February 2022, 13:51 by antiknight
Beautiful puzzle as always.
on 27. February 2022, 12:39 by Playmaker6174
Incredible and wonderful opening sequence! I didn't expect to see the difficulty suddenly ramp up after that, but once I spotted the one trick, everything got resolved beautifully ;)
on 27. February 2022, 12:28 by Farkov
Very nice combination of rulesets. Congrats :)
on 27. February 2022, 10:08 by Jesper
Great puzzle! Very clever break-in.
on 27. February 2022, 10:06 by Elliott810
Very nice puzzle and beautiful implementation of the relations between the two rule sets! Danke:)
on 27. February 2022, 08:54 by PixelPlucker
Brilliant! Thanks!
