The rationale for this retrosynthesis is very similar to that of the first few steps of problem 4. In addition, a nearly identical problem is found in the last figure (5.39) in the blue book of lecture notes. But briefly...
We again see an alpha beta unsaturated ketone which can be formed by an intramolecular aldol condensation of A.

Analysis of A reveals the 1,5 diketone functionality that is suggestive of a Michael reaction.
Again, of the two possible Michael reactions that could form A, the one shown above is a better choice. The enolate is doubly stabilized, and the disconnection offers greater simplification than in the other case.
This Michael addition and subsequent intramolecular aldol condensation to form a six-membered ring is known as the Robinson annulation, and can usually be performed in one reaction mixture.

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