I remember this one. It does require a specific order.
Here's how I did it:
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×I kicked off by killing the queen in the lowest room, then the highest. There's just enough time, I found, to reach the top room before they all flow out at you, and the queens should block off the lowest room on the right. After that, I cleaned out the right side, then the left.
It DID suck, but not as much as any room containing snakes.
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What do you call an elephant at the North Pole?
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×Lost.