logical deduction - Double n-queen puzzle, with sudoku rules

Put 9 blue queens and 9 pink queens, with rules :

• If the blue queens removed, each pink queens do not attack each other.


• If the pink queens removed, each blue queens do not attack each other.


• Each 3×3 red square, only have 1 blue queen and 1 pink queen.


• Some queens have been placed as guide.


• There is only 1 solution.

Answer

Here is a solution, found by trying a lot, looks like a Sudoku: