Question

Implement the Insertion Sort algorithm for sorting the following list of numbers in the ascending order, showing the list obtained at each step:

                                  27, 15, 42, 3, 9, 29, 81, 54, 0, 13

Also calculate the total number of exchange operations and how many times the loop will execute in this algorithm.

28 May 2025
Answer :
Word Count : 571
To implement the Insertion Sort algorithm for sorting the list in ascending order, we start from the second element and compare it with elements before it. We shift elements greater than the key and insert the key at the correct position. Given list: `27, 15, 42, 3, 9, 29, 81, 54, 0, 13` ### Step-by-step Sorting: * Step 1 (i=1, key=15): Compare 15 with 27 → Shift 27 right Insert 15 `15, 27, 42, 3, 9, 29, 81, 54, 0, 13` * Step 2 (i=2, key=42): Compare with 27 → no shift `15, 27, 42, 3, 9, 29, 81, 54, 0, 13` * Step 3 (i=3, key=3): Compare with 42 → shift 42 Compare with 27 → shift 27 Compare with 15 → shift 15 Insert 3 `3, 15, 27, 42, 9, 29, 81, 54, 0, 13` * Step 4 (i=4, key=9): __________ _______ __________ ___ ______ ____ ____ ________ _______ ______ ___.
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