Rank Up 20.mg12.3 - Fill-rank-omino
(Published on 27. January 2026, 00:11 by MathGuy_12)
This was set for Scojo's Setting Saturday prompts. ThePedallingPianist redeemed this prompt to create a puzzle to go in a pack for the finale to his Rank Up series. This is my third entry for this prompt, see the first one here and the second one here.
Thanks to NEWS for testing!
Rules:
- Numbers may not repeat within cages.
- Latin Square:
- Place the digits 1 to 5 in the grid.
- Digits may not repeat in rows or columns.
- Full Rank:
- The digits in rows and columns, read in both directions, make a total of 20 numbers of 5 digits.
- Orthogonally adjacent cells outside the grid contain a number equal to the rank of the indicated 5-digit number according to its position, where 1 goes to the smallest and 20 to the largest.
- There are no ties in rank.
- Fillomino:
- Divide the grid into orthogonally connected regions.
- Fill each cell with a number that is the size of the region.
- Regions of the same size cannot share a cell edge.
Solution code: Numbers in column 9 top to bottom (15-25 digits)
Comments
on 13. February 2026, 21:28 by zzw
Very nice! Elegant construction too. Looking forward to the sequel where the position of the latin square isn't given lol
on 13. February 2026, 20:54 by Christounet
Funny how this works. Not what I expected for a full rank puzzle. Very fun! Thanks :)
on 11. February 2026, 10:51 by Plysmaskinen
Simply fantastic, and as Simon said, intuition is key for a quicker solve.
on 7. February 2026, 19:57 by MathGuy_12
Added Latin Square tag.
on 6. February 2026, 22:42 by QuiltyAsCharged
Astounding!
on 29. January 2026, 14:49 by SennyK
Lovely puzzle! I have never solved a 4* puzzle in under 30 minutes :D
on 27. January 2026, 12:53 by cyddrdrd
A cool break in with a smooth ride toward the end!
on 27. January 2026, 11:59 by Snookerfan
Brilliant! Looks daunting, but ended to be a quick and fun solve. Thanks
on 27. January 2026, 09:51 by Piatato
Very clever, fun and smooth! A fairly quick solve for such a big grid. :)
on 27. January 2026, 03:48 by Calvinball
This puzzle is an absolute must try, stop reading the comments and open the link to the solver already!
