Impossible?
(Published on 16. August 2023, 18:12 by damasosos92)
I had this idea in mind for a while and it's somewhat a miracle that it works so well in a Quattroquadri grid.
Rules:
Quattroquadri: Place the digits 0 to 8 once each into the 3x3 boxes. Digits may not repeat in the same row, column, or box of the grid.
Impossible?: All the question marks are different digits from 1 to 6 and act as a full rank clue and a x-sums clue at the same time:
- Full rank: Considering all rows and columns as 6-digit numbers read from all directions and ranked from lowest (1) to highest (24), the question mark represents where in the ranking that row/column lies.
- X-Sums: The question marks give the sum of the first X digits in their respective row or column, where X is the digit nearest the clue.
You can play Impossible? online on CTC-App. Have fun solving and please leave a comment after your solve!
Solution code: Row 2, followed by row 5, both left to right (12 digits, without spaces)
Comments
on 10. October 2024, 16:43 by damasosos92
Added Quattroquadri tag
on 11. March 2024, 21:58 by glum_hippo
You fiend! I bruised my forebrain but really enjoy the ideas behind this one.
on 4. October 2023, 16:27 by OGRussHood
This puzzle is mad.
on 12. September 2023, 00:47 by Christounet
Clever setting ! Thanks.
on 23. August 2023, 19:42 by LibardiA
Loved it! I love the way the break-in seems completely impossible (hmm...) but eventually resolves the more you think about it.
on 22. August 2023, 21:13 by BaumJames
Simply amazing. Really enjoy this one
on 22. August 2023, 17:02 by damasosos92
Improved the wording of the rules.
on 21. August 2023, 20:40 by samuel1997
This puzzle is incredible! The interaction between X-sum and full rank is excellent!
on 20. August 2023, 13:20 by nearestneighbour
Took a couple of tries but I finally managed. That was very cool. My only comment is I thought the full rank explanation was very confusing:
"all rows and columns as 6-digit numbers read from the direction of the clue"
Since there are only 6 clues I didn't get how you got to 24 ranks. Maybe emphasize that you mean all rows/columns in both directions, read from the puzzle edge or something.
- thank you for your suggestion. I improved the rules here to better clarify the full rank property.
on 19. August 2023, 02:54 by damasosos92
I'm amazed at how well this puzzle is being received. Thank you so much!
on 18. August 2023, 00:32 by VoidPolaris
Absolutely amazing from start to finish
on 17. August 2023, 22:45 by Fra314
Che puzzle fantastico! Folle, ma fantastico! Mi ha pure fatto scordare come si scrive in inglese. Grande!
on 17. August 2023, 22:27 by SenatorGronk
This was fantastic, thanks!
on 17. August 2023, 22:11 by ademjaz
That was hard but absolutely amazing! I loved it!
on 17. August 2023, 18:37 by erml
Fantastique!
on 17. August 2023, 18:08 by TheRiddler
Very entertaining puzzle and pleasantly challenging.
on 17. August 2023, 17:51 by Franjo
Fantastic break-in and excellent cage-building. Perfect puzzle!
on 17. August 2023, 17:01 by Franjo
Fantastic break-in and excellent cage-building. Perfect puzzle!
on 17. August 2023, 16:25 by Raumplaner
I really love the Quattroquadri grid.
Makes puzzles like this possible.
on 17. August 2023, 14:17 by Franjo
Fantastic break-in and excellent cage-building. Perfect puzzle!
on 17. August 2023, 13:12 by Crusader175
Very nice!
on 17. August 2023, 12:19 by giladooshlon
That was quite hard, but very enjoyable.
on 17. August 2023, 10:17 by marcmees
nice break in logic. thanks
on 16. August 2023, 20:13 by Big Tiger
I'm going to have to wait until Simon or someone solves it on video, lol. Gave it an hour's go and didn't even have a pencil mark.
on 16. August 2023, 18:54 by Nordy
My favorite 6x6 puzzle. Fantastic stuff in here
on 16. August 2023, 18:16 by yttrio
Really fun puzzle with two distinct parts, each of which was a joy to solve!
