Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Consider the algorithm for insertion sort shown below. The input to this algorithm is an

array A. You must assume that indexing begins at 1. 

Follow this algorithm for A[1..4] =< 7, 9, 6, 8 >. Specifically, please indicate the contents of the

array after each iteration of the outer for loop.

```plaintext
1: for j = 2 : A.length do
2:     key = A[j]
3:     i = j - 1
4:     while i > 0 and A[i] > key do
5:         A[i + 1] = A[i]
6:         i = i - 1
7:     A[i + 1] = key
```

This code snippet represents the Insertion Sort algorithm. It starts by iterating through each element of the array `A` from the second element to the last. For each element `A[j]`, it is compared with elements before it, and the key is inserted into its correct position in the sorted part of the array. The algorithm effectively sorts the array `A` in place by gradually building up a larger sort list until the entire array is sorted.
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Transcribed Image Text:```plaintext 1: for j = 2 : A.length do 2: key = A[j] 3: i = j - 1 4: while i > 0 and A[i] > key do 5: A[i + 1] = A[i] 6: i = i - 1 7: A[i + 1] = key ``` This code snippet represents the Insertion Sort algorithm. It starts by iterating through each element of the array `A` from the second element to the last. For each element `A[j]`, it is compared with elements before it, and the key is inserted into its correct position in the sorted part of the array. The algorithm effectively sorts the array `A` in place by gradually building up a larger sort list until the entire array is sorted.
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