Two Truths and a Different Truth
(Published on 15. September 2025, 00:09 by Oddlyeven)
Rules: Normal Sudoku rules apply. Put the digits 1 to 9 once each into every row, column and box.
Yin Yang: Shade some cells in the grid such that all shaded cells are orthogonally connected and all unshaded cells are orthogonally connected. No 2x2 may be all shaded or all unshaded.
Doublers: A cell that is a doubler has value equal to twice its digit.
Two Truths and a Different Truth: For all the following constraints, if shaded cells are treated as doublers and unshaded cells are normal then two of the clues are correct and the third is incorrect. If unshaded cells are treated as doublers and shaded cells are normal then the same two clues are incorrect and the third is correct (see example).
Renban: Values on a pink line form a set of consecutive numbers with no repeats.
Arrows: Values on an arrow sum to the value in that arrow's circle.
X: Values on an X sum to 10.
Dots: Values on a white dot are consecutive. Values on a black dot are in a 1:2 ratio.
Odd and Even: A value on a grey circle is odd. A value on a grey square is even.
Links:
SudokuPad: https://sudokupad.app/cdifwlxo10
| Example: Dark green is shaded and light green is unshaded. Values on a V sum to 5. When shaded is doubled, the outer two V clues are correct and the centre V clue is incorrect. When unshaded is doubled, the centre V clue is correct and the outer two V clues are incorrect. |
This puzzle was set as part of Scojo's imposter prompt where I had to make a puzzle in the style of ViKingPrime.
The puzzle ViKingPrime set as themself can be found here.
Go check them out, they have some amazing puzzles!
Solution code: Row 7, left to right (9 digits).
Comments
on 18. October 2025, 13:33 by BG03
Came here after solving befuddlement (which took me 5 hrs). Thankfully this one clicked a lot easier despite the mind twisting rules. 2 hrs, 4 stars, 100% rating. Thanks!
on 18. October 2025, 04:35 by Frank Puzzles
Lovely puzzle... once I understood the rules.
I would suggest instead of saying "IF shaded cells are treated as doublers," using "WHEN shaded cells are treated as doublers" both times they are in the rule set.
The IF part threw me off and I didn't understand that we had to use the shading to act as BOTH a doubler AND a normal just in different scenarios.
So, I was flummoxed as to how to solve a puzzle where we didn't know if the shaded region was a doubler or not.
Fun logic though!
on 14. October 2025, 00:40 by MathGuy_12
Loved solving this one live with Scojo! Such an amazing concept
on 23. September 2025, 07:30 by DonQuichopp
This took me 10 hours to solve, but it got me hooked from the moment I saw it on CtC and decided to try a solve before watching the video.
I think it took me about 4 hours to find the break in, even though I was staring at the right clues from the start. Once I understood the concept, it was quite free floating from there (in my snail speed of course).
Thanks, I loved it!
on 20. September 2025, 16:46 by henrypijames
Conceptually the best use of yin-yang ever - in the original philosophical sense of the term.
on 20. September 2025, 06:44 by Agent
Very precise setting!
on 19. September 2025, 07:34 by ddx02
Oh, wow, definitely a case of reading (and then reading again) the rules very carefully.
Once you're passed this, it's a very nice puzzle, and flows beautifully.
on 17. September 2025, 14:25 by mscha
Absolutely beautiful! Hard but fair.
on 16. September 2025, 23:13 by h0_0man
Not sure I've ever put 5 "very nice" on an "average".
Ruleset is new (to me) so ofc requires some time adjusting. But then it's not difficult, solver just needs to be accurate, the flow of clues is really smooth and enjoyable. Very very nice !
on 16. September 2025, 21:33 by War
Beautiful logic start to finish. To clarify the rules: odd and even are separate rules, white and black kropki are separate rules, for the sake of doubling a majority etc.
on 16. September 2025, 09:44 by PierreTombal
Thank you @QuiltyAsCharged
That was indeed the issue. Rereading, I still think that the rule as it is declared allows the "if shaded" clause to act on each of the constraints individually. I believe this might be avoided when "if shaded" was made the primary clause. i.e.:
If shaded cells are treated as doublers and unshaded cells are normal, then for all the following constraints two of the clues are correct and the third is incorrect. If unshaded cells are treated as doublers and shaded cells are normal then the same two clues are incorrect and the third is correct.
on 16. September 2025, 00:07 by Fool on Hill
This was a lovely puzzle with some cool ideas in it. Note to self- read the rules carefully. The 2:1 majority for all clue types is when shaded is doubled.
on 15. September 2025, 22:03 by QuiltyAsCharged
Brilliant puzzle, I loved it!
I made things hard on myself for a while by not properly reading the rules. I think the person asking a question in a hidden comment may have made the same mistake, so I'll explain. It must always be the same yin yang color which makes two out of three correct for every constraint type. You can't switch up which color makes two correct for different constraints.
on 15. September 2025, 21:22 by Cascade
One of the toughest ones I've done, but every little deduction was so satisfying. Thank you!
on 15. September 2025, 16:27 by Nebuzaradan
Fun concept, way more approachable than it originally seemed on first reading of the rules, and incredibly smooth and enjoyable to solve. Thank you for the puzzle!
on 15. September 2025, 13:04 by wuc
Awesome. Some of my favorite rules combined. Added to favorites. What a complex puzzle. Fought 111 minutes for one of the most rewarding solves in over 1000. Awesome setting thx.
on 15. September 2025, 06:23 by gigglingCaduceus
A beauty! From break-in to clean-up, loved it!
on 15. September 2025, 02:00 by Scojo
Even though it took me a while to understand how this worked, once I did this became one of my favorite puzzles of the event (so far). Great work!
on 15. September 2025, 00:22 by gdc
My favorite from the impostor event so far (which was full of outstanding puzzles). Very unique spin on the 2T1L rule by zetamath. The interactions of the local and global constraints are surprising and fun to figure out.
on 15. September 2025, 00:16 by ViKingPrime
One of the finest puzzles ever made.
