Why Fog So Bad At Archery? (Happy Birthday ViKingPrime!)
(Published on 20. April 2025, 14:27 by vitaminz)
Normal Sudoku, Partial Kropki, Partial XV, German Whisper, Dutch Whisper, Renban, Same Difference Line, Arrow, Killer Cages, Thermometer, and Counting Circle rules apply.
(Black dots separate digits in a 2:1 ratio, white dots separate consecutive digits, a red X separates digits that sum to 10, a blue V separates digits that sum to 5 [Not all of any of those are necessarily given], digits adjacent on a green line have a difference of at least 5, digits adjacent on an orange line have a difference of at least 4, digits on a magenta line form a set of consecutive digits in any order, each pair of adjacent digits on a turquoise line have the same difference as other adjacent pairs on the same line, digits on an arrow sum to the digit in the attached circle, digits in cages sum to the value in the upper left of that cage, digits on grey thermometers increase from the bulb end, digits in circles count exactly how many of that digit appear in circles.)
Two Truths and a Lie: Each of the above standard clue types occurs exactly three times in the grid; for each, exactly two of the appearances of that clue are correct and the other is incorrect. A single clue will never cross itself or enter the same cell twice, but may fork.
Dynamic Fog: Correctly placing some digits will clear fog somewhere in the grid. To solve this puzzle you will not need to guess but you will need to place digits in the fog that will not immediately clear.
Solution code: The digits in row 8 that are not on incorrect clues
Comments
on 27. April 2025, 20:54 by LehanLehan
It was a great journey, thanks, Justin.
on 25. April 2025, 16:37 by ViKingPrime
Ever since I started setting with liars and fog together and essentially crowned myself King of the Liars, others have been gunning for my throne... my only solace for how easily I've been bested and for clearly how much better they are at it, are the resulting puzzles. This is such a brilliant design.
This was such a treat to solve! and I'm suitably impressed with what you did with the circles; I've always struggled to use them to everyone's satisfaction, yet you've achieved it so readily and done so with such style. Well done.
on 24. April 2025, 04:14 by baal
I do not see a way to solve this without assuming the lines in box 3 are NOT connected. Am I missing anything?
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No you're absolutely right. That's my mistake. I've fixed the puzzle so that is known. Thank you!
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Thanks for the update. Have the rules been updated? Seems like it has not yet.
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I don’t think the rules need updating unless I missed something else. I just revealed a bit more fog at that point.
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Sorry, hadn't realized you updated the puzzle itself since I had already started it. Thanks!
on 21. April 2025, 22:37 by Exigus
Hard but very interesting to solve.
on 21. April 2025, 18:39 by whtshername
I am struggling to see the next step after correctly placing the middle cell and the one above and identifying which clues are correct/wrogn that relate to box 5.
Any hints or rules I am missing?
Edit:
The Fog clears very differently in the SudokuPad app and the webapp! I think the first is somewhat broken and makes it impossible to solve
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Sorry about that! I’m not really a developer but I have heard that the sudokupad app does not play nicely with fog generally (I always use the web app). Hopefully it was smooth sailing the rest of the way :)
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Using the webapp it was a pleasure to solve! Thanks for the great puzzle. I also did not require the circle constraint to solve it
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Thanks for the nice comment. Would you mind sharing how you ruled out something like this? You are the second commenter to find this and I’m not sure what I’m missing: https://imgur.com/a/1dYzE0L
on 21. April 2025, 12:18 by keaizhu
Nice puzzle!
In the hope that the rules can better distinguish between the circles of the sum arrow and the circles count the number of digits. I mixed them up in the middle.
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Thanks for the suggestion. I’ll try to change it when I get home.
on 20. April 2025, 21:51 by giladooshlon
One of the rules is a lie! Fun puzzle
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Ah thanks, I meant the same cell twice.
on 20. April 2025, 18:31 by Visumation
Very cool. I never used the circles in the solve as I didn’t notice them. So i only saw them when I put in the wrong solution code. Very nice. Thanks
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I think you might have missed a path like this then: https://imgur.com/a/1dYzE0L
Anyway, glad you enjoyed!
on 20. April 2025, 16:41 by rameshsrivats
Brilliant puzzle and a most amusing solution code
on 20. April 2025, 16:33 by BevG
That was fun!
on 20. April 2025, 16:08 by by81996672
Fun puzzle!
on 20. April 2025, 15:56 by noeillia
That was fun, thank you!
