Question: Let 2 be a problem for which there exists a deterministic algorithm that runs in time 2 pn ( where n is the input size

Let 2 be a problem for which there exists a deterministic algorithm that
runs in time 2pn (where n is the input size).
Prove or disprove: If 1 is another problem such that 1 is polynomially
p
deducible to 2, then 1 can be solved in deterministic O(2n) time on any
input of size n.

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