81 Given Digits - Invisible Exploded Compass Sudoku
(Published on 3. February 2022, 19:00 by stephane.bura)
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Every row, column and irregular region must contain the digits from 0 to 8. If there is an arrow in a cell, the digit in that cell equals the total number of cells belonging to the region the arrow comes from that are in the direction of the arrow - see example. Once placed, all the possible arrows will be present. Enjoy! |
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Solution code: From row 5 to row 9, from left to right, the digits of groups of connected cells in the same region of size 3 or more. For instance, a row containing digits grouped this way [4][8531][6][207] would yield the digits 8531207.
Comments
on 4. February 2022, 11:08 by stephane.bura
Added last dot, hopefully.
Thanks MagnusJosefsson!
on 4. February 2022, 10:58 by MagnusJosefsson
Very fun and cool puzzle!. It took a while for me to get started, but after that it flowed very smoothly. Btw, unless I have made a mistake not affecting the solution code there still seems to be one dot missing in R9C4.
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Thanks Magnus :)
And you're right!
on 3. February 2022, 23:46 by stephane.bura
Fixed missing arrows. Thanks Jesper!
on 3. February 2022, 23:29 by marcmees
straightforward once you know where to begin, hence I also forgot about the 2x2 rule. Feels a bit like "behind the scenes of compass creation" ... had fun. thanks.
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Thank you :)
That's totally it! It's the first step toward something crazier but I wanted to see whether it worked first.
It seems that I can't stop thinking about this ruleset...
on 3. February 2022, 23:24 by Jesper
Just finished the puzzle and then realized I forgot the anti-2x2 rule. So it seems to be uniquely solvable without it, but I'm guessing the start would have been a lot easier and quicker with it. In any case, it was amazing! Completely different logic from 'normal' puzzles. Very cool.
Unless I made some mistake that didn't affect the solution code, there are some dots missing - maybe check R9C4, R4C8, R8C7 and R5C8 if your count is correct.
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Thanks Jesper :)
I'll bold the 2x2 constraint in the text.
Also, why oh why do I still make puzzles with negative constraints? I will fix these.
on 3. February 2022, 20:06 by kublai
Do you mean that the dots represent all possible arrows?
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Yes, they do.
on 3. February 2022, 19:04 by stephane.bura
Note: ignore the 2x2 group of cells in a region in the example. It's an old example.
