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Here is a standard Yin-Yang puzzle.

Rules of Yin-Yang:

  1. Fill each empty cell with either a black circle or a white circle.
  2. All white circles should be orthogonally connected, so do all black circles.
  3. There may not be any 2x2 cell region consisting of the same circle color.

enter image description here

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1 Answer 1

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I couldn't find a suitable starting logic without a not-well-known trick:

In a puzzle with even width and height, the border cells excluding the corners are divided into dominoes, each of which is to be colored in a single color. So the bottom left corner starts as this:

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Apply some easy deduction and use the "border pair" logic once more:

enter image description here

Some more easy deduction, and we realize that the white must go all around the board by border connectivity logic. Sneaky!

enter image description here

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Then the chain of easy deduction finishes the puzzle:

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    $\begingroup$ "Fill each empty cell with either a black circle or a white circle." ;-) $\endgroup$
    – Florian F
    Commented Nov 29, 2020 at 15:14
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    $\begingroup$ @Florian I believe that has been left as an exercise for the reader. $\endgroup$ Commented Nov 29, 2020 at 15:59
  • $\begingroup$ Correct and well done! :D (The technique is apparently mentioned way back then here in PSE: A problem about Yin-Yang puzzles) $\endgroup$
    – athin
    Commented Nov 30, 2020 at 0:57
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    $\begingroup$ @athin Yeah, I learned it through that exact post :) $\endgroup$
    – Bubbler
    Commented Nov 30, 2020 at 1:00

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