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Square-1

I've got a couple square-1s laying around that I've never solved. I tried Jaap's solution a loooong time ago, but found it difficult to understand.

Turning it into a square is easy, put I don't know how to permute. I would like to learn.
 
I also solve square-1, but not very much any more. Too bad for that time at WC05, I popped an edge, put it in a bad place, and ended up with the hardest position. :)
 
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