To implement a program that sorts the given elements using selection sort algorithm.
Selection Sort is a simple sorting algorithm that repeatedly selects the smallest (or largest, depending on the order) element from an unsorted part of the list and swaps it with the element at the beginning of the unsorted part. The algorithm maintains two sub-lists: one that is already sorted and another that is yet to be sorted.
Step-by-step explanation of the Selection Sort algorithm:
- Step 1: The algorithm starts with the entire list considered as unsorted.
- Step 2: It scans the unsorted part of the list to find the smallest element.
- Step 3: Once the minimum element is found, it is swapped with the first element of the unsorted part. This effectively adds the smallest element to the sorted part of the list.
- Step 4: The sorted part of the list is expanded to include the newly swapped element.
- Step 5: Steps 2-4 are repeated for the remaining unsorted elements until the entire list is sorted.
- Step 6: The algorithm terminates when the entire list is sorted.
The selection sort algorithm has a time complexity of O(n^2), where n is the number of elements in the list. This makes it less efficient than other sorting algorithms, such as merge sort and quicksort. However, it has the advantage of being simple to implement and requiring no additional memory beyond the list being sorted.
- Understanding of sorting algorithms: Implementing the selection sort algorithm requires an understanding of sorting algorithms, their time and space complexities, and their advantages and disadvantages.
- Familiarity with array manipulation: The selection sort algorithm involves manipulating arrays by swapping elements, identifying minimum values, and partitioning arrays into sorted and unsorted sub-arrays.
- Ability to implement algorithms: Implementing the selection sort algorithm requires programming skills such as using loops, conditionals, and array operations to perform the necessary computations.
- Ability to analyze algorithms: Analyzing the time complexity of the selection sort algorithm can help students gain an understanding of algorithmic efficiency and the trade-offs between time and space complexity.
- Problem-solving skills: Implementing the selection sort algorithm requires problem-solving skills to identify the inputs needed, the steps involved in the algorithm, and the output to be generated.
- Testing and debugging skills: Implementing and testing the selection sort algorithm requires the ability to identify and fix errors in the program code and test the program with different input values to ensure correct output.