Petals Around the Rose logic puzzle

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Found this interesting puzzle on BoingBoing. I figured it out. Can you?

Mark Frauenfelder: This looks like an interesting problem. Lloyd Borrett writes:

Take up the challenge of "Petals Around the Rose". Also read what happened when Bill Gates was introduced to Petals Around the Rose in June 1977. How he tackled this brain teaser is an interesting insight into the man at the helm of Microsoft.

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[Via Boing Boing]

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