Array in element from lowest

Explanation of Sorting an Array in Ascending Order

To sort an array in ascending order, you can use various sorting algorithms such as bubble sort, selection sort, insertion sort, or merge sort. Here, we will explain the steps involved in using the bubble sort algorithm to sort an array in ascending order.

  1. Bubble Sort Algorithm:
  2. Bubble sort is a simple comparison-based sorting algorithm. It repeatedly compares adjacent elements and swaps them if they are in the wrong order.

  3. The algorithm continues to iterate through the array until no more swaps are needed, indicating that the array is sorted.

  4. Steps to Sort an Array in Ascending Order:

  5. Start with an unsorted array.
  6. Compare the first element with the second element. If the first element is greater than the second element, swap them.
  7. Move to the next pair of elements (second and third) and compare them. Again, swap if necessary.
  8. Continue this process until the last pair of elements in the array.
  9. After the first iteration, the largest element will be in its correct position at the end of the array.
  10. Repeat steps 2-5 for the remaining elements, excluding the last element that is already in its correct position.

  11. Continue this process until the entire array is sorted.

  12. Example: Let's consider an array [5, 2, 8, 12, 1] and go through the steps of the bubble sort algorithm to sort it in ascending order.

  13. Step 1: Start with the unsorted array [5, 2, 8, 12, 1].

  14. Step 2: Compare 5 and 2. Since 5 is greater, swap them. The array becomes [2, 5, 8, 12, 1].
  15. Step 3: Compare 5 and 8. No swap is needed. The array remains [2, 5, 8, 12, 1].
  16. Step 4: Compare 8 and 12. No swap is needed. The array remains [2, 5, 8, 12, 1].
  17. Step 5: Compare 12 and 1. Since 12 is greater, swap them. The array becomes [2, 5, 8, 1, 12].
  18. Step 6: After the first iteration, the largest element (12) is in its correct position at the end of the array.
  19. Step 7: Repeat steps 2-6 for the remaining elements.
    • Compare 2 and 5. No swap is needed. The array remains [2, 5, 8, 1, 12].
    • Compare 5 and 8. No swap is needed. The array remains [2, 5, 8, 1, 12].
    • Compare 8 and 1. Since 8 is greater, swap them. The array becomes [2, 5, 1, 8, 12].
    • After this iteration, the second largest element (8) is in its correct position.
  20. Step 8: Repeat steps 2-7 until the entire array is sorted.
    • Compare 2 and 5. No swap is needed. The array remains [2, 5, 1, 8, 12].
    • Compare 5 and 1. Since 5 is greater, swap them. The array becomes [2, 1, 5, 8, 12].
    • After this iteration, the third largest element (5) is in its correct position.
    • Compare 2 and 1. Since 2 is greater, swap them. The array becomes [1, 2, 5, 8, 12].
    • After this iteration, the fourth largest element (2) is in its correct position.

  21. Step 9: The array is now sorted in ascending order: [1, 2, 5, 8, 12].

  22. Complexity Analysis:

  23. The bubble sort algorithm has a time complexity of O(n^2) in the worst and average cases, where n is the number of elements in the array.
  24. It has a space complexity of O(1) since it performs in-place sorting.