Explanation Given information: It is required to find the number of comparisons between values of a [ j ] and x when insertion sort is applied to the array given below a [ n ] Stored Value a [ 1 ] 6 a [ 2 ] 2 a [ 3 ] 1 a [ 4 ] 8 a [ 5 ] 4 Concept used: It is required to find the number of comparisons between values of a [ j ] and x when insertion sort is applied to the array. Calculation: for k : = 2 to n x : = a [ k ] j : = k − 1 while ( j ≠ 0 ) if x < a [ j ] then a [ j + 1 ] : = a [ j ] j : = j − 1 end if end while a [ j + 1 ] : = x next k In the insertion sort algorithm, when the for-next loop is first iterated, k is assigned the value 2 ; x is assigned the value of a [ 2 ] , which is 2 ; and j the value of k − 1 which is 1.Since j ≠ 1 , the while loop is entered and the condition for the if-then-else statement is tested. Inside the if-then-else statement, the value of x is compared with a [ 1 ] , since x < a [ 1 ] , therefore, a [ 2 ] is assigned the value of a [ 1 ] , which is 6 , j is assigned the value of j − 1 ,which is 0 and a [ 1 ] is assigned the value of x , which is 2 .The condition for while loop is tested again and since j = 0 ,which is not satisfied, so the while loop is not entered. Again, the value of k is incremented by 1 and the for-next loop is entered for the second time

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Chapter 11.3, Problem 24ES

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How many comparisons between values of a[j] and x actually occur when insertion sort is

applied to the array of exercise 20 ?

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Chapter 11.3, Problem 23ES

Chapter 11.3, Problem 25ES

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How many comparisons between values of a [ j ] and x actually occur when insertion sort is applied to the array of exercise 20 ?

Solution Summary: The author calculates the number of comparisons between values of aleft[jright] and x when insertion sort is applied to the given array.

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How many comparisons between values of a[j] and x actually occur when insertion sort is

applied to the array of exercise 20 ?

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Chapter 11 Solutions

How many comparisons between values of a [ j ] and x actually occur when insertion sort is applied to the array of exercise 20 ?

Solution Summary: The author calculates the number of comparisons between values of aleft[jright] and x when insertion sort is applied to the given array.

Videos

How many comparisons between values of a[j] and x actually occur when insertion sort is applied to the array of exercise 20 ?

Want to see the full answer?

Chapter 11 Solutions

How many comparisons between values of a[j] and x actually occur when insertion sort is

applied to the array of exercise 20 ?