6x6 non-strict between lines
(Published on 7. June 2021, 18:13 by Sktx)
Type : 6x6 Sudoku
Variant : non-strict between lines (custom variant)
Since my first puzzle with those rules hasn't been solved yet (EDIT : now it has, congrats and thank you for the feedback), I wanted to make a 6x6 example, with simpler logic at work, to demonstrate the power of the constraint, and hopefully present to you a nice new variant :). It might still be tricky, but this one focuses on the peculiarities of the ruleset. It shouldn't be too hard if you understand the constraint well. please enjoy !
==== LINKS ====
(and if you want to try a harder 9x9, here you go !)
==== RULES ====
6x6 Sudoku Rules apply : Fill the grid with digits 1 to 6 appearing each exactly once in every row, column and 2x3 box.
Non-strict between lines : For every pair of blue circles linked by a blue path, the digits on that blue path must be non-strictly between (between or equal to) the digits in the said blue circles.
Example : (1)-3-1-4-6-2-(6) is a valid non-strict between line (if allowed by other rules !)
A path can have more than 2 end circles. In that case, every pair of circles linked by the path must follow the above rule.
Inequality signs between two cells indicate which one has the higher digit ('V' means a vertical inequality)
Solution code: Digits from Row 4 (left to right) and then Column 2 (top to bottom), without space. 12 digits total.
Comments
on 16. December 2023, 19:48 by wullemuus
After studying the 9x9 version first I used this one to check if I understood the rules correctly-and yeah, same time as kafkapharnaum (who recommended the 9x9 to me)! Very smooth solving path!
Sktx @wullemuus : Thanks ! With this ruleset, I made the big error of firstp osting the very complex 9x9, which got very few solves, and probably didn't do good publicity to the 6x6 I posted hotly after... Glad you took the time, and thanks again to Kafkapharnaum, a fellow explorer of weird rulesets !
on 10. June 2023, 19:38 by Kafkapharnaum
This one deserves a lot better :/ I tried and speedrun it after doing 'N' to see if I had learn anything, and surely I must have -- did it in about 16 minutes without any mistake, and I was even on pace to do it in under 10 but crashed into a wall where a missed a column pair... sob XD
It's really tough presenting a new ruleset -- too hard and people won't see what there is to see, and too easy and the ruleset will feel bland, but this ruleset is great and full of potential for really cool, unique coloring exercises, as was this one. I just might try and set one myself -- I kinda came to accept my destiny of being just a setter of arcane curiosities XD
on 22. October 2021, 13:04 by uvo_mod
Labels angepasst.
on 18. August 2021, 14:53 by FinnishGuy
In hindsight, I should probably have resolved this before the 9x9 version :)
@FinnishGuy : Thanks for solving both ! It's my bad, I should have actually made and posted this 6x6 before the 9x9... I always misjudge the difficulty of my puzzles, and often have to make an introductory puzzle after releasing a bigger one. Well done solving those two, definitely not an easy ruleset !
---
@Sktx: This ruleset was very inspiring. I am already thinking about setting a puzzle with a derivative of this rule set.
on 9. June 2021, 22:20 by Nordy
Nice puzzle! The non-strict constraint contributed to a few logical jumbles on my end... but working through those was very satisfying.
@Nordy : Thanks for trying it ! Indeed, it is hard to reason about numbers being "between" more than 2 other numbers. Getting a hunch on what would work is possible, proving that it is the only possibility is quite harder just using your mind. I recommand using pen and paper aths get a visualization of the problem, it is much easier to see what conclusion to draw for pt with more than 2 end circles . I hesitated to put a "mathematical knowledge required", but there is no big theorem to know really, just understanding non-strict inequalities and the usual logical deduction process. Anyway, thanks a lot for the solve and your comment ! Glad you enjoyed it.
on 7. June 2021, 18:43 by FishyPuzzles
I really enjoyed your puzzle.
I like the idea behind the intersecting/non-strict between lines.
I've already put some hours in your 9x9 version of this puzzle, so I understood the base mechanics of this constraint. For me this version was not that hard.
Now I at least know, that my understanding of the mechanics was correct, maybe I'll take another look at your 9x9 version ...
@FishyPuzzles : Thanks a lot for your time on my puzzles. I am sorry if the other one felt too hard, I should have released the 6x6 before the 9x9. Hopefully this will help you progress on the 9x9 (which will probably feel hard anyway, but more likely to be overcome). If you like this non-strict lines idea, please feel free to use it on your puzzles !
