Numbered Walls
(Published on 21. July 2022, 23:57 by Niverio)
Rules:
- Normal Sudoku rules apply.
- Numbered Walls : Outside clues are standard X, V, white Kropki or black Kropki clues. The digit closest to the clue indexes at which cell border the clued constraint lives, counted from that direction. A ? can be any of the 4 clue types.
For illustration, here is a quick example:
Clarifications about the constraint:
- The edge of the grid cannot contain constraints, and also is not counted for indexing purposes. Therefore, a 9 cannot appear as the indexing digit of any clue.
- Two opposing clues can be indexing the same cell border, regardless of if they are the same constraint or not, as long as two digits exist that can satisfy both constraints. Example: 2 and 3 can have both a V and a white dot in the cell border between them.
- There are no negative constraints of any kind.
And now for the main puzzle:
You can solve the puzzle in Penpa+. Answer check is enabled for the correct placement of digits. Or you can solve in either F-Puzzles or in CTC Software.
A solving tip: I strongly recommend filling in the constraints into the grid as you determine where constraints lie. In order to do this, you can enable "Draw on Edges" option in Penpa+, and use Number mode to put X/V between cells, or use Shape mode and put XS sized white/black circles to indicate kropki clues. This shouldn't have an effect on answer check triggering. Enjoy!
Solution code: Row 5 followed by Row 6 (No commas or spaces, 18 digits)
Comments
on 24. July 2022, 10:30 by Angelo
Oh boy what a good one! Very smooth and very fun fresh logic. Nice constraint with an equally as good puzzle! :)
When looking at the puzzle image I thought the rules would be slightly different, where the reference cell would still point to a cell (not a border) and that these two cells would satisfy the predicate on the outside of the grid. I wonder if that would result in nice logic as well.
on 23. July 2022, 22:41 by Qodec
Beautiful and an exceptionally well designed flow. Thanks so much!
on 23. July 2022, 16:42 by Bankey
Lovely puzzle. Thanks for setting, @ Niverio :). Thanks, @bansalsaab for alerting about the 8 :).
on 23. July 2022, 16:38 by BHUNTER47
Beautiful puzzle once I came back to the comments and realized the 8 was missing from the CTC link! Thanks for pointing that out bansalsaab!
on 23. July 2022, 10:42 by Niverio
Updated the CTC link to contain the correct version.
on 23. July 2022, 09:40 by MagnusJosefsson
Great puzzle, lovely idea and execution!
on 23. July 2022, 05:32 by bansalsaab
Such a nice puzzle but the CTC link is missing the 8 clue. I ended up wasting more than hour staring at the puzzle without the clue trying to find a solution and was about to give up when i saw original puzzle has an 8.
~Ah, I am so sorry! I got the links from Manushand, and although I took a quick glance to see if the symbols outside were working nicely, I overlooked the given 8. I am sorry for wasting an hour of your time. And I am glad that you still persevered and enjoyed the puzzle!
on 22. July 2022, 21:50 by Niverio
Added F-Puzzles and CTC links, thank you manushand for these!
on 22. July 2022, 21:18 by manushand
For those (like me) who aren't yet Penpa+ fluent...
Here is an f-puzzles link: https://f-puzzles.com/?id=24v5f7wx
And here is a CTC link: https://tinyurl.com/NumberedWallsOnCTC
on 22. July 2022, 16:54 by marcmees
NIce. thanks.
on 22. July 2022, 11:38 by Jesper
Great novel idea, and a fun smooth solve, thanks!
on 22. July 2022, 01:30 by JayForty
Fun and creative puzzle! Thanks!
on 22. July 2022, 00:33 by Vebby
Great idea and execution! Very enjoyable to solve. Thanks Niverio :)
on 22. July 2022, 00:16 by Crusader175
Very nice idea and puzzle! I really enjoyed it!
