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This is a Trichain puzzle. The rules of Trichain are as follows:

  1. Numbers must be white, and match the size of their white islands.
  2. Each white island can only contain at most one number. Some white islands may have no numbers.
  3. Black squares must be part of L-trominoes.
  4. Black L-trominoes cannot be adjacent horizontally or vertically, but all of them must be connected diagonally. In other words, one standing on a black square must be able to visit any other black square via Chess King's moves, stepping on black squares only.

Here is an example Trichain puzzle, and its solution:

Here is the real Trichain. Go for it!

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6
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enter image description here
The bottom right has 2 possible solutions.

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  • $\begingroup$ Yikes, thanks for catching that. I tried so hard to make total uniqueness but that one slipped my eye :( $\endgroup$ – Avi Oct 8 '20 at 16:45

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