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True or False?
\quad For all positive integers aaa, ⌊2aa⌋ \left \lfloor \dfrac{2^a}a \right \rfloor⌊a2a⌋ is even.
⌊⋅⌋ \lfloor \cdot \rfloor ⌊⋅⌋ denotes the floor function.
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