Nuntar wrote:
The southwestern ice is the key, but you need to use it correctly...

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×...that is, at the correct time.

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×If you step on it too soon, the NE queen will move onto Halph's path, and you don't want that either.

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×Still, if that's bad, why am I bothering to point it out at all?

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×Queens don't spawn on the space they just moved off.

Spoiler follows:

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×Step on the ice and immediately off, so the NE queen moves one space and then back.