A β, γ-unsaturated carbonyl compound rearranges to a more stable conjugated α, β-unsaturat...

A β, γ-unsaturated carbonyl compound rearranges to a more stable conjugated α, β-unsaturated compound in the presence of either an acid or a base.

a. Propose a mechanism for the base-catalyzed rearrangement.

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b. Propose a mechanism for the acid-catalyzed rearrangement