How many times greater can the constant factor be for shell


Graph f1(n) = n log n, f2(n) = n 1.5 , and f3(n) = n 2 in the range 1 ≤ n ≤ 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 Shell sort or Quicksort. How many times greater can the constant factor be for Shell sort 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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Basic Computer Science: How many times greater can the constant factor be for shell
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