Question: 50.7) Prove by the substitution method that: T(n) = T(floor(n/2)) + T(ceiling(n/2)) + theta(n) has T(n)=big omega(nlgn) as an asymptotic solution. Give a structured proof

50.7)

Prove by the substitution method that:

T(n) = T(floor(n/2)) + T(ceiling(n/2)) + theta(n) has T(n)=big omega(nlgn) as an asymptotic solution. Give a structured proof and show constraints on c and n.

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