Suppose that we use insertion sort on a randomly ordered array where elements have only one of three values. Is the running time linear, quadratic, or something in between?

Consider sorting n numbers stored in array A[1:n] by first finding the smallestelement of A[1:n] and exchanging it with the element in A[1]. Then find thesmallest element of A[2:n], and exchange it with A[2]. Then find the smallestelement of A[3:n], and exchange it with A[3]. Continue in this manner for thefirst n-1 elements of A. Write pseudocode for this algorithm, which is knownas selection sort. What loop invariant does this algorithm maintain? Why does itneed to run for only the first n-1 elements, rather than for all n elements? Give theworst-case running time of selection sort in big theta notation. Is the best-case runningtime any better?

Suppose that we would like to use counting sort to sort the following list of numbers . What is the initial C array constructed (not the accumulated)? The last element in array C is 1, fill the following blanks for the first 5 elements starting from the first blank. Insert digits and no decimal points.

Assume nums is an array of integers that looks like this: -3 12 9 0 2 -1 If we are sorting from smallest to largest, what will nums look like after 2 times through the outside loop if we are using bubble sort? Note: When you're entering the values, make sure you leave at least one space between them. Would it be possible to perform a linear search on a 2-D array? Answers: Yes, but you would be limited to using only one loop No, because a 2-D array is not stored in linear fashion in RAM Yes, as long as you used the proper nested loops No, you would have to use a binary search Yes, but only if the array's elements were sorted

Two words (spelt in uppercase) are similar if and only if all letters in the 1st word are in the 2nd word and all letters in the 2nd word are in the 1st word; including the same number of duplications. For example, ABBA and BABA are similar; however, BABA and BAAA are not similar. To check two words which are similar, we can use two integer arrays, each has 26 elements (as we have 26 letters), you can assume that 1st array element stores the number of letter 'A', 2nd array element stores the number of letter 'B', and so on. What you need to do now is to check whether the two integer arrays are equal to decide whether the two words are similar. We propose following UML for this question: O TwoWords - String word1 -String word2 O Exam_Q4 +TwoWords0 - static Scanner input +TwoWords(String word1, String word2) O+TwoWords(TwoWords tw) O+ String getWord10 O+ static void main(String args) O+ String getWord20 O+void setinfo(String word1, String word2) O -intj countinfo (String word) O+boolean...

Let A be an array, where each of the n elements is a randomly chosen digit between 0 and 9. For example, if n = 12, this array could be A = [3,5,1,0,5,7,9,2,2,8,8,6]. Determine whether Counting Sort or Merge Sort sorts this array faster.

For selection sort, how many comparisons would be needed to sort an array containing 100 elements if the original array elements were already sorted? What if the original array elements were sorted in reverse order? What if the original array elements were all identical?