×The room is clearly made of 4 sections in each corner, all mostly the same as each other. Is this a cute design choice, or is there something more sneaky going on here? How is area 2 different from the others?
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×It's not rotationally symmetrical to the other areas. Why does this matter?
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×Imagine area 1 was the one that wasn't rotationally symmetrical in the same way area 2 is. It sure would be easy, it'd take care of itself at the start of the room.
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×Perhaps area 2 being the one thats flipped leaves it open to the same solution? (Area 2 solution follows)
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×Stand on the square the SW queen is on to chase the SE queen North.
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×Now you have a new toy to play with for solving area 1...
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×... but it might require some preparation. (Area 1 solution follows)
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×Drop the southern trapdoor in the NE group to stop the queen escaping. Now you can move it to a more useful location.