Sæpenumerō
(Published on 4. May 2022, 04:17 by mathpesto)
Rules:
The digits 1–6 appear once or twice each in each row, column, and region. All adjacent cells summing to 5 are joined by "V" or "X/V". All adjacent cells summing to 10 are joined by "X" or "X/V''. Adjacent cells summing to 5 or 10 are in separate regions. In the cage, digits sum to the given total, digits may repeat, and adjacent cells are in separate regions.
(Note: A region is a collection of orthogonally connected cells and each cell belongs to exactly one region. Each region's shape and size, and the amount of regions, are to be determined.)
Puzzle:
Solution code: Type the digits (no spaces) of the region containing R1C1 as follows: Row 1's digits in the region (left to right), Row 2's digits in the region (left to right), etc.
Comments
on 7. July 2022, 10:53 by Pibonacci
Wonderful puzzle, refreshing take on the regions which are normally a key from the start in chaos constructions, didn't really understand how they were going to be significant until they were.
...Apparently that's not the intended solution path at all, interesting. But yeah, I didn't use the regions at all until the end and fully populated the grid with numbers until they were only a few ambiguous pairs left. Despite making my life harder by restricting myself that way, I didn't find the puzzle absurdly difficult (took me an hour this way).
on 14. May 2022, 14:01 by mathpesto
Changed solution code.
on 14. May 2022, 11:47 by Bankey
Fun puzzle. Thanks, @ mathpesto :)
By the way, i got the "yey" on the CTC app even when 4 digits (no, not r1c2) were yet to be assigned to a region. Of course, i did complete that part, too. Perhaps, you may consider changing the solution code to the digits of the region containing r1c1 :)
-------
Thanks, that's a good suggestion, will update the solution code!
---
Thanks !! :)
on 6. May 2022, 00:33 by marcmees
Fun concept but I did not draw one single region.
———
marcmees: thanks for solving and commenting as always! I think you may have made some assumptions because certain cells such as R1C2 have multiple possibilities even when all other digits in their row and column are filled, (as well as accounting for the X’s V’s and negative constraint), and can only be determined with regions.
on 5. May 2022, 18:04 by mathpesto
Fixed solution code description.
on 5. May 2022, 18:02 by twobear
Very nice, quite tough for me. Thank you!
(By the way, the solution code has only 16 digits :-p)
------
@twobear: Thank you! I will fix that.
on 4. May 2022, 16:01 by aruvi
A mind bender! A ruleset as twisty as the regions it gives rise to, great puzzle.
-----
Thanks so much, aruvi! -mathpesto
on 4. May 2022, 13:49 by Christounet
That was really strange but still a lot of nice logic and construction. Loved how it came together at the very end !
----------
Thank you as always! And "really strange" is what I aim for :-) -mathpesto
