2 3 7 1 7 9 4 6. 5 | 8 1. Write down the steps of sorting the following array using Merge Sort. 2. Write down the steps of sorting the following array using Quick Sort.
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- True or false: Merge sort can be implemented using O(1) auxiliary space.A merge sort is used to sort an array of 1000 test scores in descending order. Which of the following statements is true?a) The sort is fastest if the original test scores are sorted from smallest to largestb) The sort is fastest if the original test scores are in completely sorted order.c) The sort is fastest if the original test scores are sorted from largest to smallest.d) The sort is the same, no matter what the order of the original elements.Q6. Write an algorithm of Merge Sort for both “arrays are unsorted”. SUBJECT:DATA STRUCTURE
- In what sense is the insertion sort superior to the merge sort? In what sense is the merge sortsuperior to the insertion sort?How does bubble sort work?Assume you have an array of integers with 10,000 elements and you want to sort it using merge sort algorithm. On average, how many comparisons will be performed by the algorithm during the sorting process?
- draw different stages of Merge Sort to sort the following array. 3 4 7 8 6 5 2 9 1Which sort usually requires fewer data values to be swapped, bubble sort or selection sort?Q3. list using cach of the two sorting algorithms: mergesort sort and quicksort and prints as output the number of comparisons as well as the execution time for each of the two algorithms for N= 10000, 20000, 40000, 100000, 200000 and 400000. The quicksort should use the last element as the pivot for partition. Present your results in a table of the form shown below and plot the results in two separate charts, one chart for the number of comparisons (for both algorithms in the same chart) and one chart for the execution time (for both algorithms in the same chart). Write a Java program that generates randomly a list of N integers, sorts the generated
- 3. Sort the elements using merge sort 38,27,43,3,9,82,10Sort Trace Trace each pass of selection, insertion, bubble and quick sort for the list of values below. For quick sort, assume that the pivot is the left-most value in the portion of the array to be sorted. The numbers are: 6, 3, 11, 4, 9, 8, 17,7 You may turn your work in as a text file, a PDF, or a scan/image of something hand-written.44. Use a merge sort to sort 4, 3, 2, 5, 1, 8, 7, 6 into increasing order. Show all the steps used by the algorithm. 45. Use a merge sort to sort b, d, a, f, g, h, z, p, o, k into al- phabetic order. Show all the steps used by the algorithm.