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take the cat to the new house first and leave it there.
go back to the old house and get the dog.
leave the dog at the new house, pick up the cat from the new house and go back to the old house.
pick up the mouse from the old house, leave the cat at the old house, take the mouse to the new house.
go back to the old house, pick up the cat, take the cat to the new house.
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But what do I know, I'm just the developer. 
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