Kropki Placement Sudoku #1
(Published on 22. November 2020, 10:33 by udukos)
Normal sudoku rules apply.
White dots between two cells indicate consecutive digits and black dots between two cells indicate a ratio of 1:2. For some rows and columns, the TOTAL number of white and/or black dots appearing in that row or column have been given. Dots on the border and outside the grid don't count.
You must place dots based on given clues (or the missing dots in case a few have already been given) entirely inside the grid to solve the puzzle.
A pair of orthogonal cells in the grid with 1 and 2 can have either a black or a white dot between them. It is left for the solver to deduce which one will it be. Also, there is no negative constraint in this puzzle, outside the grid or within the grid (i.e. all the possible kropki dots have NOT been given).
Here is an example on a 6*6 grid:
Good Luck. Have fun.
Penpa plus link
Solution code: Column 1 Column 3
Comments
on 26. September 2021, 16:24 by Vebby
Wow, what a puzzle! Kropki madness! Regularly found myself going in one direction only to realize it broke the puzzle and there was another possibility I had completely overlooked. Great mental exercise. Thanks udukos :)
on 16. February 2021, 08:29 by Statistica
Sehr hübsch. Schön schwierig bis zum Schluss. Verdient mehr LöserInnen!
@Statistica Thank you. I think its a bit on the difficult side but I am glad that at least a few people enjoyed it.
on 3. January 2021, 07:43 by bigger
Very nice. Quite a big jump from 5 star to 4. I wonder what would a negative restraint puzzle looks like
on 13. December 2020, 16:04 by harrison
This was mind-bogglingly difficult, but very satisfying once you get the hang of it!
@harrison Thank you!
on 8. December 2020, 01:07 by Jesper
Great puzzle! Difficult, but with a really nice logical path once you find it!
-- Thank you. Glad you liked it. :)
on 26. November 2020, 09:33 by udukos
Thank you so much, smckinley!
on 26. November 2020, 05:30 by smckinley
Fantastic! Quite the mental workout. Thank you @udukos!
on 25. November 2020, 18:24 by Tilberg
@udukos: Thank you!
on 25. November 2020, 16:19 by Tilberg
How do I place dots with Penpa?
@Tilberg You have to turn Border function ON.
Then in Mode, Select Shape.
Then Select Subheading Shape, select Circles from the dropdown menu, XS size.
You can now click on the borders between cells and type 1 to add a white dot and 2 to add a black dot.
Turn the Border off to go back to entering digits normally.
Also, I had personally recommend trying my second puzzle with the same ruleset before trying this one.
https://logic-masters.de/Raetselportal/Raetsel/zeigen.php?id=0004S1
on 23. November 2020, 20:48 by udukos
Updated rules description
on 23. November 2020, 19:51 by Richard
I am very fond of kropki (I mean the real kropki with the negative constraint; not only the ratio/consecutive dots.)
So I have looked to the puzzle and wondered how to disambiguate between black or white dots between 1 and 2. And why there is no dot between the given 2 and 3 outside the grid in row 6 of the example. And in column 2 of the example there are no consecutive digits in the 6x6-area. So there is a zero in the upper row outside the grid. But that is next to a 1 so there should be a dot.
With so much questions I decided to put it away again until it has solves.
@Richard Thank you for your feedback. There is no negative constraint in this puzzle, outside the grid or inside the grid. Only the given clues and kropki dots provide restrictions. A 12 pair can have either a black or a white dot between them. It is left to the solver to deduce what it will be. The example I have provided is a valid problem. One can solve it logically. It shows a white dot between 12 at one place and a black dot between 12 at two other places. If one were to solve that problem, they would understand how this was deduced. I will add this to the rules. And also the fact that there is no negative constraint. Though there is no negative constraint, I hope you still give it a try. :)
on 23. November 2020, 15:37 by udukos
I was expecting a few solves on this puzzle by now. Although entry into the puzzle is tough, it utilises interesting kropki logic. I would appreciate feedback from anyone who gives this a try. If you would like any hints, let me know in hidden comments.
