(a) Find a growth rate that squares the run time when we double the input size. That...

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(a) Find a growth rate that squares the run time when we double the input size. That is, if \(T(n) = X\), then \(T(2n) = X^2\)

(b) Find a growth rate that cubes the run time when we double the input size. That is, if \(T(n) = X\), then \(T(2n) = X^3\)

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