Question: For the first 4 problems below, the slide Substitution Method (Proof by Induction), which is approxi-mately Slide 16 in 05DivideAndConquerI-Part1.pdf, provides a suitable example.1. (4

For the first 4 problems below, the slide Substitution Method (Proof by Induction), which is approxi-mately Slide 16 in 05DivideAndConquerI-Part1.pdf, provides a suitable example.1. (4 points) Prove thatT(n)lg(n)for alln1, and henceT(n) = (lg(n)).T(n) ={0ifn= 1,T(dn/2e) + 1ifn2.

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