Suppose we should write a program to sort in place, using no more than a constant amount of storage space in addition to the original array. What sorting algorithms should we avoid? a. Counting sort b. Radix sort C. Bucket sort d. Merge sort e. All of the other answers

Write a program to sort an array of random elements using quicksort as follows: Sort the arrays using pivot as the first element of the array Sort the arrays using pivot as the median of the first, last, and middle elements of the array Sort the arrays using pivot as the first element of the array. However,, when the size of any sub-list reduces to less than 20, sort the sub-list using insertion sort. Sort the array using pivot as the median of the first, last and middle elements of the array. When the size of any sub-list reduces to less than 20, sort the sub-list using insertion sort. Calculate and display the CPU time for each of the preceding four steps. Example of the median of the first, last and middle elements: 1 2 3 4 5 6 7 8 0 (median of 1, 5, 0 is 1) 8 0 1 2 3 4 5 6 7 (median of 8, 3, 7 is 7) To calculate the CPU time, use the header , and clock_t type. You need to cast the duration to float and divide it by CLOCKS_PER_SEC. Depends on the CPU of your computer, your…

Java-.Selection and insertion sort  3.a    Show steps of selection sort for the given array. You may need to add more rows to the table.   Selection Sort Initial value 3 2 7 5 4 8 9 10 1 Search 0 . . . end 3 2 7 5 4 8 9 10 1 Swap index 0                   Search 1 . . . end                   . . .                                                                                                                                                               3.b    Show steps of insertion sort for the given array. You may need to add more rows to the table.   Insertion Sort Initial value 3 2 7 5 4 8 9 10 1 , first item is sorted 3 2 7 5 4 8 9 10 1 , first 2 items are…

Problem2: A square matrix can be represented by a two-dimensionalarray with N rows and N columns. You may assume a maximum size of 50 rows and 50 columns. 1. Write an algorithm MakeEmpty(n), which sets the first n rows and n columns to zero. 2. Write an algorithm Add(M1, M2, M3), which adds two matrices M1 and M2 together to produce matrix M3. 3. Write an algorithm Subtract(M1, M2, M3), which subtracts matrix M2 from matrix M1 to produce matrix M3. 4. Write an algorithm Copy(M1, M2), which copies matrix M1 into matrix M2.