Apply the bubble sort to the following list and write the modified list in every cycle [6, 12, 8, 11, 15, 14, 17, 2, 18, 7] (you may stop after it is fully sorted).
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(a) Apply the bubble sort to the following list and write the modified list in every cycle [6, 12, 8, 11, 15, 14, 17, 2, 18, 7] (you may stop after it is fully sorted).
(b) Merge the following two sets and write the merging list in every iteration [3, 5, 6, 8, 10, 11, 15] and [4, 7, 9, 13, 17]
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- Consider the following list:18, 8, 38, 25, 45, 12, 74, 60, 30a. This list is to be sorted using the insertion sort algorithm . Show the list after five iterations of the for loop.b. Exactly how many key comparisons are executed during the first fiveiterations of the for loop?We may modify the selection sort technique to terminate when only one number remains in the unsorted part of the list, since that one number must be in the right position. Do not let it be known that this modification has no effect on the number of comparisons required to sort an n-element listConsider the following list, which is sorted by insertion sort for array-based lists: 28, 18, 21, 10, 25, 30, 12, 71, 32, 58, 15 Show the resulting list after six passes of the sorting phase—that is, after six iterations of the for-loop.
- Consider the following problems for recursive definition/solution. Answer the following questions. [Remember that a recursive definition/solution requires base case and recursive case] Consider a list of numbers A {55,12,53,56,24,1,7,42}. Sort is by using Merge Sort. Show each step in dividing the list and conquering/combining it.Apply the merge sort on the following list and sort the list in decreasing order: 91 98 29 93 98 53 68 33 33 47 You must show how the list is divided by the recursive calls to MERGE-SORT, then merged at each stage to obtain the final sorted list.a. Write a version of the sequential search algorithm that can be used to search a sorted list. (1, 2) b. Consider the following list: 2, 20, 38, 41, 49, 56, 62, 70, 88, 95, 100, 135, 145 Using a sequential search on ordered lists, that you designed in (a), how many comparisons are required to determine whether the following items are in the list? (Recall that comparisons mean item comparisons, not index comparisons.) (1, 2) 2 57 88 70 135 Write a program to test the function you designed. Note: Have the function,seqOrdSearch, return -1 if the item is not found in the list. (return the index of the item if found).
- Given an unsorted linked list 8, 78, 26, 12, 45, 39, 67, 51. Sort the linked list using the following sorting algorithm. Write down the coding in c++ and provide the output: 1. Insertion sort 2. Merge sortYour task is sorting the given list by dictionary order, sortingoperation must be realized using the bubble sort algorithm. Additionally,this list implementation should be written using a two-dimensional char ar-ray.Bubble Sort Algorithm1 function swap ( a , b)2 // F i l l own your own !3 end function45 function compare ( a , b)6 // Compare f unc t i on should be implemented7 // to r e a l i z e the s o r t i n g c r i t e r i a .8 // For example , e l ement s in a are s t r i n g s and9 // the y are to be s o r t e d in d i c t i o n a r y order .10 // strcmp f unc t i on can be used in p l a c e11 // of compare f unc t i on .12 end function1314 function bubbl e s o r t ( a , n)15 while n != 016 high = 017 for i=0 to n=2 incremented by 118 i f compare ( a [ i ] , a [ i +1]) > 0 then19 swap ( a [ i ] , a [ i +1])20 high = i+121 end i f22 end for23 n = high24 end while25 end function1Present an example of walking through the merge sort or the quick sort algorithm (your choice) This is an algorithm tracing activity, not a coding exercise. Do not post any code or code output. Post the following for merge sort: Start with an unordered list of at least NINE elements. List all the recursive calls that would be made to sort the list, going forward. Show which pair of sub-lists will be merged each time, going back. Show the ordering of the sub-list after each recursive call returns. Post the following for quick sort: Start with an unordered list of at least NINE elements. State what element will be the pivot value (use only low index or median-of-three). List all the recursive calls that would be made to sort the list. Show the ordering of the sub-list after each recursive call returns.
- 1. Implement a generic version of Bubble sort, Selection sort and Quick sort algorithms (use static method). 2. During the implementations count how many comparisons each algorithm required for performing ascending order sorting. Print that count. 3. Test your algorithms by taking two random list: one will take Double type value and other will take String type value (this will verify your generic implementation). Invoke each of the sorting algorithm by passing one list at a time and display both the original list and the sorted list.a. It was remarked in this chapter that the performance of bubble sort can be improved if we stop the sorting process as soon as we find that in an iteration no swapping of elements take place. Write a function that implements bubble sort algorithm using this fact. b. Using the algorithm that you designed in part (a), find the number of iterations that are needed to sort the list: 65, 14, 52, 43, 75, 25, 80, 90, 95.Consider the following multiplication problem: Given an integer list (an array) of size n, we want to calculate the product of all numbers in the list and display the result. (a) Define an instance of a problem in general. (b) Specify two different instances of the multiplication problem defined above. (c) What is the solution for each instance in part (b). How did you come up with that solution?