Implications of Parity
(Eingestellt am 30. Juli 2022, 13:06 Uhr von Niverio)
Another note: I am not exactly certain how hard this puzzle is, mainly cause of how unique some of the deductions are. I am going to release it as a 5-star to be safe, although depending on solver capability and with the right approach to this puzzle, that might vary quite a bit. So if you solve and enjoy the puzzle, leave a comment to explain how your journey around the Implications of Parity commenced! I am looking forward to reading them.
Rules:
- Normal Sudoku rules apply.
- Cells containing a gray circle must contain odd digits.
- Cells containing a gray square must contain even digits.
In the outer ring (Rows 1 and 9 + Columns 1 and 9) there are 4 given lines. The lines are ambiguous, and are from the following:
- One is a German Whispers line.
- One is a Renban line.
- One is a Between line.
- One is a Thermometer.
In the inner ring (Rows 2 and 8 + Columns 2 and 8) there are 8 given dots. On this ring, the dots that belong to the same row/column have the same constraint property:
- One row/column's pair is a V dot pair.
- One row/column's pair is an X dot pair.
- One row/column's pair is a white dot pair.
- One row/column's pair is a black dot pair.
In Box 5 (Middle Box), all 4 dots have a different property:
- One is a V dot.
- One is an X dot.
- One is a white dot.
- One is a black dot.
You can play the puzzle online in F-Puzzles or in the CTC Software.
Enjoy!
Clarifications:
- Regarding Box 5, just assume that the 4 gray dots are replaced with the 4 different constraints in some order. It is possible that a dot is functioning as 2 constraint types at the same time. This has no impact on the other dots and you can pick which constraint type that dot uses.
Example: If a gray dot connects 2 and 3, you can decide whichever of V or white dot to use to make the rule for Box 5 work in compliance with Sudoku rules.
- In the outer ring, it is possible that a line satisfies more than one of the 4 specified constraints. What's important is that you can assign each line one of the 4 constraints, so that all 4 line types will be used by 4 different lines.
Lösungscode: Row 6 followed by Column 6 (No commas or spaces, 18 digits)
Kommentare
am 11. September 2023, 09:05 Uhr von Xendari
what the heck
am 8. August 2023, 14:29 Uhr von Bankey
Amazing puzzle! Had abandoned it half-way earlier, but got thru today. Thanks, @ Niverio :).
am 4. Februar 2023, 02:38 Uhr von Myxo
Amazing puzzle!
am 16. August 2022, 21:20 Uhr von Qodec
Milking every clue to the max, that's how I like it!
am 8. August 2022, 09:04 Uhr von filuta
very fun puzzle for me, I liked the unusual nature of some deductions.
am 7. August 2022, 01:52 Uhr von Agent
This is one of my favourite ambiguity puzzles so far. Thanks!
am 1. August 2022, 17:12 Uhr von henrypijames
Only 3½ for me - I was surprised how smoothly I can through.
Also: Isn't the circle for the central cell unnecessary? Doesn't it only have two options anyway, both odd?
am 1. August 2022, 01:29 Uhr von BHUNTER47
Loved this idea. It was fairly easy to spot that I could divide each of the lines into two groups fairly quickly, and the dot rows the same...but getting to the spot where I broke past that took a lot of thought!
am 31. Juli 2022, 19:59 Uhr von nunc
Thanks for this puzzle, very satisfying. This is my first 5*-rated puzzle (difficulty) that I managed to solve. Although it did seem to me to be a 4*, because I didn't find it terribly hard.
Congrats on solving your first 5-star puzzle! And yes, this puzzle is rather unique but not the most difficult. I hope you enjoyed, and thank you so much for the solve and comment :)
am 31. Juli 2022, 12:21 Uhr von Piatato
Amazing puzzle! A lot of fun and, yeah, not horribly hard. :-D
am 31. Juli 2022, 09:10 Uhr von cdwg2000
Very beautiful design logic, highlighting the main features of several rule sets, clever interaction, enjoy the whole logic. This is my logic problem solving process,
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am 30. Juli 2022, 18:03 Uhr von KNT
This puzzle was very neat, however every deduction felt super natural to me (I was expecting much more brutal, not that that's a bad thing). I can now understand why you said "solve times may vary".
am 30. Juli 2022, 17:34 Uhr von cdwg2000
Very nifty rule interaction. I want to take the time to make a logic problem solving process.
am 30. Juli 2022, 17:15 Uhr von Vebby
Awesome puzzle! Very intelligent construction. Felt like a high 4 stars to me. It requires a few key deductions after which it yields quite smoothly towards the end. Thanks Niverio! :)
am 30. Juli 2022, 13:34 Uhr von grkles
I loved this puzzle. There are some really funky deductions that were not easy to get my head around, but they were so rewarding when I did. They felt like epiphanies.
