How many operations will be required when the input size is, Computer Engineering

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How many operations will be required when the input size is

Question :

Suppose an algorithm requires cn² operations when performed with an input of size n (where c is a constant).

a. How many operations will be required when the input size is increased from m to 2m (where m is a positive integer)?

b. By what factor will the number of operations increase when the input size of m is doubled?

c. By factor will the number of operations increase when the input size of m is increased by a factor of 10 that is, n = 10m)?

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