Lab 16 Implementing bubble sort In this lab, you will implement the bubble sort algorithm. The bubble sort is so called because it compares adjacent items, "bubbling" the smaller one up toward the beginning of the array. By comparing all pairs of adjacent items starting at the end of the array, the smallest item is guaranteed to reach the beginning of the array at the end of the first pass. The second pass begins again at the end of the array, ultimately placing the second smallest item in the second position. During the second pass, there is no need to compare the first and second items, because the smallest element is guaranteed to be in the first position. Bubble sort takes at most n - 1 passes for an array of n items. During the first pass, n 1 pairs need to be compared. During the second pass, n - 2 pairs need to be compared. During the ith pass, n - i pairs need to be compared. During the last pass, n (n - 1) or one pair needs to be compared. If, during any pass, no two adjacent items need to be interchanged, the array is in order and the sort can terminate. If it continues, no further interchanges will occur. Write a tester program to test the correctness of your bubble sort.

3. Selection Sort• The idea in a selection sort is that you locate the largest item out of a set ofunsorted items, and move it into position at the end of the unsorted items. Asorted region grows one item at a time, while an unsorted region shrinks.• As done in Part 1, fill an array with random numbers.• Write a function that locates the largest element in the portion of the arraybeginning at the start of the array, up to a given index, and swaps the largestitem with the item at the given index.• E.g. If searching a[0] to a[7] locates the largest item at a[4], a[4] and a[7] would beswapped.• Write a second function that calls the first function repeatedly, until the entirearray is sorted. (Each time the first function is called, it will search one fewerelement)

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…

Homework 7: Merging two sorted arrays Due date: Saturday March 18. Objectives: Learn to implement algorithms that work with multiple arrays. Understand the Merging algorithm. IMPORTANT. Carefully study Lecture 1 from Week 8 on D2L before you start on this.   Sometimes we need to combine the values in two sorted sequences to produce a larger sorted sequence. This process is called Merging. As an example, if the first sequence (S1)contains the numbers 2 3 4 4 5 9 and the second sequence (S2) contains the numbers 1 4 5 8 9 11 12 13 17 the output sequence will contain 1 2 3 4 4 4 5 5 8 9 9 11 12 13 17 Each sequence can be stored in an array. The strategy is as follows: Start by comparing the first items in the two input arrays. Write the smaller number to the output array, and move to the the next item in that array. This is repeated until we reach the end of any one of the input arrays; thereafter, we simply copy all the numbers from the other input array to the output array. (In the…