Show that the worst-case time complexity for Binary Search (Algorithm 2.1) is given by W(n)=[n] 1 When n is not restricted to being a power of 2 . Hint. First show that the recurrence equation for W(n) is given by W(n)=1 W(⌊(n)/(2)⌋) for n>1 W(1)=1 To do this, consider even and odd values of n separately. Then use induction to solve the recurrence equation. | Numerade
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SOLVED: Show that the worst-case time complexity for Binary Search (Algorithm 2.1) is given by W () = [lg"] 1 when not restricted being power of Hint: First show that the recurrence equation for Wn) is given by W()=[ W (li)) for " > | W( =[ To do this, consider even and odd values of n separately. Then use induction solve the recurrence equation.
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