Cuitláhuac
(Published on 20. April 2025, 04:20 by aqjhs)
This puzzle is partly inspired by Andrewsarchus+ThePedallingPianist's Boogie.
- Normal sudoku rules apply in the 9x9 grid.
- Full Rank: the digits on columns and rows, read in both directions, make a total of 36 nine-digit numbers. Numbers in pills outside the grid (read left to right or top to bottom) show the rank in ascending order among those 36 numbers for the indicated column or row in the direction of the clue, where the lowest number has rank 01 and the highest number has rank 36. There are no ties in rank. Pills can contain any digits from 0 to 9.
- Spaces marked with circles contain odd digits and spaces marked with squares contain even digits.
- Any three adjacent spaces along a teal line must contain digits in different residue classes modulo 3, i.e. one each of the sets [147], [258], [0369].
- Digits joined by a teal dot belong to the same residue class modulo 3, i.e. to the same set from [147], [258], [0369].
You can find a mini version of this puzzle here.
See also:
Solution code: Number on rank 33
Comments
on 2. July 2025, 04:14 by earthpuzzles
Thanks for creating the mini as a way to ease into this ruleset!
on 23. June 2025, 03:20 by aqjhs
clarification: the ranks are from 01 (lowest) to 36 (highest)
on 19. May 2025, 19:09 by Snookerfan
Great puzzle! Very tricky and rewarding. Thank you
on 9. May 2025, 02:16 by aqjhs
added link to mini versions
on 26. April 2025, 10:53 by madhupt
This was so tough! It is so easy to make a mistake with so many moduli to track. But what a satisfying accomplishment. A fantastic, fantastic puzzle! Brutal but never stalls. Every deduction is very intricate and very satisfying. Thanks for sharing this.
on 24. April 2025, 20:14 by Exigus
A little over two hours but worth it.
on 24. April 2025, 10:35 by MagnusJosefsson
Fantastic, very fun and satisfying!
on 22. April 2025, 07:19 by peterkp
Thanks for a brilliant puzzle. Personally I love puzzles where the constraint covers both the inside grid and the outside clues. This was one of the best I've seen.
on 22. April 2025, 04:58 by kyuquu
this is the first 5* puzzle I've been able to complete! it took me almost three hours in total, but there was a near constant trickle of progress and I never felt like I was too stuck. the whole puzzle came together really nicely and felt satisfying every step of the way.
thanks for setting!
on 22. April 2025, 02:10 by aqjhs
added the words "full rank" to the text since there's no full rank tag :(
on 21. April 2025, 18:11 by h5663454
*Where is the "full rank" tag???*
***
;_; ...i don't know
on 21. April 2025, 13:47 by marcmees
excellent puzzle to put your teeth into. thanks
on 21. April 2025, 03:23 by Andrewsarchus
Love the interactions between the full rank clues and the mod lines! Beautiful logic and a beautiful visual presentation!
on 20. April 2025, 16:48 by mnhuik
逻辑很顺畅，但是36组数字组合排除起来好累
on 20. April 2025, 08:24 by blueberrypug
very very nice puzzle, took me about 2.5 hours so def closer to a 5* for me
on 20. April 2025, 05:13 by blueberrypug
I'm not sure if it will help me, but does 0 count as an even number for the purposes of the squares?
***
yes, zero is an even number
