The way I treat puzzles such as this room is to make the most use out of the little time I have between spawns... first I determine the largest window (number of moves) I have where I am not attacked by roaches. Then I determine how far I can get in that window...
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×Which direction can you go without being vulnerable to attacks from many different directions?
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×Which queens are closest to you?
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×Remember you don't have to kill queens right away if you can "block" their spawn...
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Those are my principles. If you don't like them, I have others. -- Groucho Marx