QUESTION 3 (a) What is the complexity of the Insertion Sort algorithm, and explain what this means? (5 marks) (b) Write pseudo code to implement the Selection Sort algorithm. (10 marks) (c) Apply the Selection Sort algorithm to the following array and write down the result of the array at each stage of the algorithm. 0 1 2 3 4 5 A 9 8 7 4 5 6 (10 marks)

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Question 3.
A. The time complexity of insertion sort is O(n2). That means that this algorithm takes max time of O(n2) for sorting n elements.
B. Pseudocode for selection sort
Selection sort finds the smallest element and replaces it with first element, then finds the second smallest and replace with second element.
-SELECTION-SORT(A)
for j ← 1 to n-1
smallest ← j
for i ← j + 1 to n
if A[ i ] A[ smallest ]

C. After following above Pseudocode we have

– 9 8 7 4 5 6 ( first we select smallest (4) and replace with first element)

– 4 9 8 7 5 6 ( similarly for second smallest element)

– 4 5 9 8 7 6

– 4 5 6 9 8 7

-4 5 6 7 9 8

– 4 5 6 7 8 9

 
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