In selection sort, how many comparisons are made in the inner loop during each iteration?a.One comparisonb.n - 1 comparisonsc.n comparisonsd.Two comparisons
Question
In selection sort, how many comparisons are made in the inner loop during each iteration?
- a. One comparison
- b. n - 1 comparisons
- c. n comparisons
- d. Two comparisons
Solution
The answer is b. n - 1 comparisons.
Here's why:
Selection sort is a simple comparison-based algorithm. The main idea behind the algorithm is to divide the input list into two parts: the sorted part and the unsorted part. Initially, the sorted part is empty and the unsorted part is the entire input list.
The algorithm repeatedly selects the smallest (or largest, depending on the ordering) element from the unsorted part and moves it to the end of the sorted part. This operation is performed n-1 times (where n is the number of elements in the list), hence the inner loop makes n-1 comparisons for each iteration.
In the first iteration, the algorithm needs to find the minimum from n elements. In the second iteration, the minimum from the remaining n-1 elements, and so on. So, in each iteration of the inner loop, the algorithm needs to make one less comparison than the previous iteration.
Similar Questions
In Selection Sort, what is the minimum number of comparisons required to find the smallest element and place it in the first position of the array?
If a list of elements is already sorted in ascending order, how many comparisons are needed in the worst-case scenario to find an element using Binary Search?
How many times is the comparison i >= n performed in the following program?int i = 300, n = 150;main(){ while (i >= n){ i = i-2; n = n+1; }}
How many number of comparisons are required in insertion sort to sort a file if the file is sorted in reverse order?Select one:N^2 N-1NN/2
How many swaps does Selection Sort perform in the worst case?O(n)O(n log n)O(n^2)O(log n)
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.