Circled Entropy
(Published on 22. September 2023, 19:31 by sujoyku)
- Normal sudoku rules apply.
- Diagonals: On the main diagonals digits do not repeat.
- Circles: A circled digit indicates exactly how many circles contain that digit. (Note: This also includes circles with emerging arrows.)
- Entropy line: Each set of three consecutive digits on the orange line has to contain a low (1, 2 or 3), a medium (4, 5 and 6) and a high digit (7, 8 or 9).
- Arrows: Digits on an arrow sum to the digit in the circle from which the arrow emerges.
Here you can solve the puzzle online:
Solution code: Row 8 from left to right (9 digits in total)
Comments
on 14. October 2025, 13:06 by BabyfacedBard
I would like to complete all your beautiful sudokus, but unfortunately due to a worsening eye condition in my left eye, I make typos very easily, and they’re often hard for me to track. But still, I will try to solve all the sudokus that have solution checker
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Thank you, BabyfacedBard! I wish you good fun with my puzzles. Let me know if you need a nudge for any of them.
Kind regards, sujoyku
Well, so far it’s going well! I do have a question, is using the answer checker during a solve a divisive topic in the general community? Provided that there’s no guessing, just confirming that there haven’t been any mistakes?
on 6. October 2025, 05:47 by MysticMan
I struggled a little bit with the break in, but after that the puzzle just flows nicely. I even had the opportunity to use my crayons. Lovely puzzle!
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Thank you for your comment, MysticMan! Probably, the break-in is the hardest step here. I am glad you liked the flow and enjoyed a little colouring.
Kind regards, sujoyku
on 27. September 2023, 19:06 by fitzie
Was banging myself on the head until I reread the bit about including circles with emerging arrows.
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Thank you for commenting, fitzie! That part of the rules is indeed crucial. I hope it did not cause you too much headache and you had a fun solve afterwards.
Kind regards, sujoyku
on 24. September 2023, 18:34 by marty_sears
Lovely work Sujoyku! Since I posted Circular Reasoning I have been loving seeing everyone's creations with the circles, and this is one of the best I've seen.
Very creative and beautiful ceoncept to combine the circles with entropy in this way, and the idea was perfectly executed too.
My favourite deduction was working out which digits could not appear on circles. Once you know that, colouring goes a long way :)
Thoroughly enjoyable
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Thank you for your nice comment, marty_sears! Since your introduction of the circle variant only allowed me to set this puzzle, it means a lot to me that you liked the puzzle. I still work on some puzzles combining the circle rule with other constraints. It is a great variant with immense potential.
Kind regards, sujoyku
on 24. September 2023, 18:05 by marty_sears
Lovely work Sujoyku! Since I posted Circular Reasoning I have been loving seeing everyone's creations with the circles, and this is one of the best I've seen.
Very creative and beautiful ceoncept to combine the circles with entropy in this way, and the idea was perfectly executed too.
My favourite deduction was working out which digits could not appear on circles. Once you know that, colouring goes a long way :)
Thoroughly enjoyable
on 23. September 2023, 18:42 by polcat
I absolutely loved this beautiful puzzle!
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Thank you for the kind words, polcat! I am glad that you liked the puzzle.
Kind regards, sujoyku
on 23. September 2023, 18:41 by mihel111
It's new. It's fun. It's approachable. In one word, it's exciting.
Thx, Sujoyku
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You are very much welcome, mihel111, Thank you for your comment! I am glad that you found the puzzle approachable and fun to solve.
Kind regards, sujoyku
on 23. September 2023, 17:38 by CaptZebraCakes
I really enjoyed this puzzle! Combining the circles and entropy line creates some fantastic logic. Brilliant setting... thanks sujoyku!
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Thank you for your kind words, CaptZebraCakes! I am glad that you enjoyed the logic of the puzzle.
Kind regards, sujoyku
on 23. September 2023, 16:32 by VitP
This puzzle requires a quality rating of OMG, which is fine, but a difficulty rating of 2 is too low.
You have to invoke about 5 different pieces of logic, all completely new, just to get started, and all that gets you is a restriction on the entropy line. After that, the puzzle gets much easier, until you finish with a huge deadly pattern, until you remember the rule you have used but already forgotten.
Hall of Fame puzzle.
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Thank you for your appreciating comment, VitP! I am glad how much you enjoyed the puzzle. Also thank you for sharing your opinion concerning the difficulty. I have put it in with 3/5 and I think it really depends on the break-in.
Kind regards, sujoyku
on 23. September 2023, 16:27 by Caconym
Very fun puzzle. Break in and resolution are very cool
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Thank you for your comment, Caconym! It is nice to hear you had fun with the puzzle and liked its break-in.
Kind regards, sujoyku
on 23. September 2023, 10:42 by I_love_carrie273
A very nice use of a circle constraint to resolve the deadly pattern near the end and a very elegant approach to include the natural arrow circles into this constraint. Thank you for this puzzle.
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Thank you for your comment, I_love_carrie273! To be honest, I was a little thrown off by the deadly pattern first. But in the end I decided that it does not do too much harm to the puzzle overall and published it as is. I am glad that you approved of the inclusion of the arrows into the circle rule set.
Kind regards, sujoyku
on 23. September 2023, 09:59 by Snookerfan
Very nice puzzle with excellent use of the circle constraint! Thank you
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Thank you for your kind feedback, Snookerfan! I am glad that you enjoyed the solve.
Kind regards, sujoyku
on 23. September 2023, 03:36 by Elliott810
Beautiful puzzle! Thanks:)
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Thank you for your comment, Elliott810! I am glad that you liked the puzzle.
Kind regards, sujoyku
