Question: In this problem you will be comparing the running time of merge sort, quick sort and Insertion sort algorithms. a) First, develop three C++/C methods
In this problem you will be comparing the running time of merge sort, quick sort and Insertion sort algorithms.
a) First, develop three C++/C methods that implement the above three sorting algorithms described below. The code should match with the exact algorithms described below. We will use these three methods in part (b):


b) In this part, we record the running time by running the three sorting algorithms implemented in part (a) above for arrays of following sizes. Initialize the array with randomly generated double values between 100.00 - 1000.00

Insertion Sort: Pseudocode for Insertion Sort INSERTION-SORT (A) for j 2 to ?.length // A.length-n keyAj // Insert AIj] into sorted sequence A1-1] 1 while i>0 and A[i] > key 1-1 -key A[i+1] QUICK SORT PARTITION(array A, int p, int r) D Choose pivot 3 for j ? p to r-1 4 do if (AL] s ) then i ?-1 + 1 exchange Ali] ?? A 7 8 exchange Ali + 1|-A[r] return i + 1 QUICKSORT(array A, int p, int r) 1 if (p
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