Consider the recurrence T(n). if n ≤ 4 T(n): m) = { T(√n])+d ifn>4 Use the recursion tree technique or repeated substitution to come up with a good guess of a tight bound on this recurrence and then prove your tight bound correct with induction or another technique.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter8: Network Models
Section8.6: Minimum Spanning Tree Problems
Problem 3P
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Consider the recurrence T(n).
r(n) = { T[{\√~]) + d
if n ≤ 4
([√n])+d_ifn>4
Use the recursion tree technique or repeated substitution to come up with a good
guess of a tight bound on this recurrence and then prove your tight bound correct with
induction or another technique.
Transcribed Image Text:Consider the recurrence T(n). r(n) = { T[{\√~]) + d if n ≤ 4 ([√n])+d_ifn>4 Use the recursion tree technique or repeated substitution to come up with a good guess of a tight bound on this recurrence and then prove your tight bound correct with induction or another technique.
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