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Here's a puzzle type I call Pandiagonal Magic Takuzu. It's inspired by @Stiv's series "This new puzzle type needs a name", except you get the name up front. Can you solve it?

enter image description here

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The title means:

Pandiagonal Magic Square + Takuzu

The first puzzle:

There are 16 3×3 blocks which are numbered 1 to 16. Rearrange them to form a pandiagonal magic square. However, the bold ones(7, 9 and 13) are fixed and cannot be moved.
There are two such arrangements:

magicsquare

The second puzzle:

The first solution is not a valid Takuzu puzzle, because it has four consecutive white cells on the second row. The second one has a unique solution:

solution

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  • $\begingroup$ Nice work! +1 Perhaps you could explain more explicitly that in the first step you have rearranged the 3x3 blocks based on their central numbers, as per the magic square - as it took a little while for me to suss what was going on while reading through? Thanks :) $\endgroup$ – Stiv Mar 2 at 10:18
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    $\begingroup$ @Stiv Thanks for the comment! I added more explanation about it. $\endgroup$ – user65284 Mar 2 at 12:35
  • $\begingroup$ You got it. Well done! $\endgroup$ – Jens Mar 2 at 16:47

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