Question: Graph (f_1(n) = n log n), (f_2(n) = n^{1.5}), and (f_3(n) = n^2) in the range (1 leq n leq 1000) to visually compare their

Graph \(f_1(n) = n \log n\), \(f_2(n) = n^{1.5}\), and \(f_3(n) = n^2\) in the range \(1 \leq n \leq 1000\) to visually compare their growth rates. Typically, the constant factor in the running-time expression for an implementation of Insertion Sort will be less than the constant factors for Shellsort or Quicksort. How many times greater can the constant factor for be for Shellsort to be faster than Insertion Sort when \(n = 1000\)? How many times greater can the constant factor be for Quicksort to be faster than Insertion Sort when \(n = 1000\)?

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