Suppose an algorithm requires operations when performed

Chapter 11, Problem 2E

(choose chapter or problem)

Problem 2E

Suppose an algorithm requires operations when performed with an input of size n (where c is a constant).

a. By what factor will the number of operations increase when the input size is increased from m to m2 (where m is a positive integer power of 2)?

b. By what factor will the number of operations increase when the input size is increased from m to m10 (where m is a positive integer power of 2)?

c. When n increases from 128 (= 27) to 268,435,456 (= 228), by what factor is increased?

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