inner iteration. Through cach iteration of the outer ite insorted portion will be “bubbled" to the top. The in orted list and successively swaps all adjacent entrics wl to cach other. de for this should consist of an outer loop and an inner trary-length (row) vector, and you will produce a mat

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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**Bubble Sort Algorithm Explanation and Example**

**Overview:**
Bubble Sort is a sorting algorithm that operates with an outer loop and an inner loop. As the algorithm progresses, each iteration of the outer loop "bubbles" the largest unsorted entry to the top of the list. The inner loop works through the unsorted part of the list, swapping adjacent entries that are out of order.

The algorithm continues until the list is sorted in ascending order.

**Bubble Sort Function:**

**Input variables:**
- A vector of unsorted data.

**Output variables:**
- A matrix that shows the results after each pass of the outer loop.

**Code Structure:**
The code is composed of two loops:
- **Outer loop:** Moves the largest remaining unsorted element to its correct position.
- **Inner loop:** Swaps adjacent elements if they are in the wrong order.

**Sample Case:**
Consider sorting the vector \([1, 2, 4, 5, 3]\).

```plaintext
>> data = bubble_sort([1 2 4 5 3])
data =

     1     2     4     5     3
     1     2     4     3     5
     1     2     3     4     5
     1     2     3     4     5
     1     2     3     4     5
```

**Explanation of Output:**
Each row in the matrix shows the state of the list after a single pass of the outer loop. Initially, the list is \([1, 2, 4, 5, 3]\). As the algorithm proceeds:
- The first pass moves 5 to the end, resulting in \([1, 2, 4, 3, 5]\).
- The second pass sorts the remaining elements, resulting in \([1, 2, 3, 4, 5]\).
- The process continues until the list is fully sorted, yielding consistent rows at the end.
Transcribed Image Text:**Bubble Sort Algorithm Explanation and Example** **Overview:** Bubble Sort is a sorting algorithm that operates with an outer loop and an inner loop. As the algorithm progresses, each iteration of the outer loop "bubbles" the largest unsorted entry to the top of the list. The inner loop works through the unsorted part of the list, swapping adjacent entries that are out of order. The algorithm continues until the list is sorted in ascending order. **Bubble Sort Function:** **Input variables:** - A vector of unsorted data. **Output variables:** - A matrix that shows the results after each pass of the outer loop. **Code Structure:** The code is composed of two loops: - **Outer loop:** Moves the largest remaining unsorted element to its correct position. - **Inner loop:** Swaps adjacent elements if they are in the wrong order. **Sample Case:** Consider sorting the vector \([1, 2, 4, 5, 3]\). ```plaintext >> data = bubble_sort([1 2 4 5 3]) data = 1 2 4 5 3 1 2 4 3 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 ``` **Explanation of Output:** Each row in the matrix shows the state of the list after a single pass of the outer loop. Initially, the list is \([1, 2, 4, 5, 3]\). As the algorithm proceeds: - The first pass moves 5 to the end, resulting in \([1, 2, 4, 3, 5]\). - The second pass sorts the remaining elements, resulting in \([1, 2, 3, 4, 5]\). - The process continues until the list is fully sorted, yielding consistent rows at the end.
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