Progressive Divisors
(Published on 3. April 2022, 21:10 by DiMono)
Progressive Divisor numbers are numbers where the first digit is divisible by 1, the first two digits taken as a two-digit number are divisible by 2, and so on.
There is a nine digit Progressive Divisor number in row 1 of the grid, written from left to right. Each of the digits in row 1 is also in a distinct non-overlapping invisible region that sums to 3x the digit's value. These regions may branch, and digits may repeat in regions if allowed by other rules. The size and shape of these regions must be determined by the solver.
Clues outside the grid indicate the first N cells in the row/column, read from outside-in, are a Progressive Divisor number, where N is the digit in the cell next to the clue.
The cages hold two digit numbers that are either divisible by both digits (i.e. 24) or neither digit (i.e. 98).
f-puzzles
CTC App
Solution code: Row 9
Comments
on 10. May 2022, 22:43 by OGRussHood
Once again, DiMono, you've delivered a puzzle that is both mad as a box of frogs and utterly genius.
on 27. April 2022, 06:21 by DiMono
Thank you for the kind words, everyone! To those saying it's more like a 3.5-4/5 difficulty, the majority of solvers seem to disagree with you, as the current 5/5 difficulty rating is real, not provisional ;)
Here is a link to Simon from Cracking The Cryptic solving the puzzle, for those who are interested: https://www.youtube.com/watch?v=8hF548RzOT0
on 27. April 2022, 04:03 by MatthewDonovan
Very nice puzzle, thank you! Very interesting ruleset. I would agree that 3.5 or 4 stars is more appropriate.
on 26. April 2022, 22:51 by marcmees
Nice but didn't use the cage constraint. once the logic unraveled, solved smooth ... < 4*.thanks.
@marcmees: Considering the puzzle has multiple solutions without the cages, I find that highly unlikely. ;)
on 21. April 2022, 18:04 by Jesper
Very nice, thanks DiMono!
on 7. April 2022, 04:38 by Bankey
Absolutely brilliant idea ! Thanks for setting, @ DiMono :)
on 5. April 2022, 19:41 by henrypijames
3⅓ stars difficulty for me.
on 4. April 2022, 21:22 by Myxo
Amazing!
on 4. April 2022, 20:24 by zegres
Wow, very cool puzzle! Took a while to figure out all the logic involved but it was very rewarding! Amazing setting!
Very happy my monthly puzzle prompt inspired this!
on 4. April 2022, 12:19 by Vebby
Very interesting! First time I used coding to help solve a puzzle. Thanks DiMono!
on 4. April 2022, 02:40 by SirSchmoopy
This puzzle was particularly challenging for me and took a while to figure out, but was well worth the investment. It was a ton of fun and I'd love to see more of this variant.
on 3. April 2022, 21:14 by DiMono
This puzzle was created for the Monthly Puzzle Prompt on the Cracking The Cryptic community discord server.
