(1) Find a tight bound solution for the following recurrence: T(n) = T( 4) + T( 4) + c n² (cis a positive constant) That is, find a function g(n) such that T(n) e O(g(n)). For convenience, you may assume that n is a power of 2, i.e., n=2k for some positive integer k. Justify your answer. [Note: Read question 4-(2) first before writing your answer]

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter11: Nonlinear Programming
Section: Chapter Questions
Problem 14RP
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(2)
using the substitution method that we learned in our class.
Prove your answer in 4-(1) either using the iteration method or
Transcribed Image Text:(2) using the substitution method that we learned in our class. Prove your answer in 4-(1) either using the iteration method or
(1)
Find a tight bound solution for the following recurrence:
T(m) = T(4) + T(쓱) + cn2
(cis a positive constant)
That is, find a function g(n) such that T(n) e O(g(n)). For convenience, you may
assume that n is a power of 2, i.e., n=2k for some positive integer k. Justify your
answer. [Note: Read question 4-(2) first before writing your answer]
Transcribed Image Text:(1) Find a tight bound solution for the following recurrence: T(m) = T(4) + T(쓱) + cn2 (cis a positive constant) That is, find a function g(n) such that T(n) e O(g(n)). For convenience, you may assume that n is a power of 2, i.e., n=2k for some positive integer k. Justify your answer. [Note: Read question 4-(2) first before writing your answer]
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