Assume the following list is being sorted using the Quick Sort algorithm. Describe the next step in the quick sort algorithm in terms of its effect on the pivot, left, and right indices and the content of the list. Note: For credit, do not just give a general description of the quick sort algorithm. Describe in this specific situation, what's compared to what, whether any data is moved, and how the indices are changed. pivot [0] [1] [2] [3] [4] [5] [6] [6] [7] [8] [9] [10] 34 25 39 94 17 78 41 45 91 56 77 86 left right

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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### Quick Sort Algorithm: Next Step Analysis

Assume the following list is being sorted using the Quick Sort algorithm. Describe the next step in the Quick Sort algorithm in terms of its effect on the pivot, left, and right indices, and the content of the list.

**List (with indices):**

| [0] | [1] | [2] | [3] | [4] | [5] |  [6]  | [7] | [8] | [9] | [10] |
|---|---|---|---|---|---|---|---|---|---|---|
| 34 | 25 | 39 | 94 | 17 | 78 |  41  | 45 | 91 | 56 | 77 | 86 |

- **Pivot:** The element `45` at index [6].
- **Left Index:** Starts at `94` at index [3].
- **Right Index:** Starts at `41` at index [6].

**Diagram Explanation:**
- The list is a sequence of numbers with specific indices.
- The pivot value `45` is highlighted in green to show its role as the pivot.
- The pointers for `left` and `right` are positioned to show their current index and value selections.

**Next Steps in Quick Sort:**
1. **Comparison:** 
   - The algorithm compares elements to the pivot `45`.
   - If the left value `94` is greater than the pivot, it is kept in place.
   - The right value `41` is less than the pivot, indicating these need to be swapped.

2. **Swap Values:**
   - Swap `94` (left) with `41` (right).
   - Updated list: 
     | [0] | [1] | [2] | [3] | [4] | [5] |  [6]  | [7] | [8] | [9] | [10] |
     |---|---|---|---|---|---|---|---|---|---|---|
     | 34 | 25 | 39 | 41 | 17 | 78 |  94  | 45 | 91 | 56 | 77 | 86 |

3. **Move Pointers:**
   - Increment `left` index to `78`.
Transcribed Image Text:### Quick Sort Algorithm: Next Step Analysis Assume the following list is being sorted using the Quick Sort algorithm. Describe the next step in the Quick Sort algorithm in terms of its effect on the pivot, left, and right indices, and the content of the list. **List (with indices):** | [0] | [1] | [2] | [3] | [4] | [5] | [6] | [7] | [8] | [9] | [10] | |---|---|---|---|---|---|---|---|---|---|---| | 34 | 25 | 39 | 94 | 17 | 78 | 41 | 45 | 91 | 56 | 77 | 86 | - **Pivot:** The element `45` at index [6]. - **Left Index:** Starts at `94` at index [3]. - **Right Index:** Starts at `41` at index [6]. **Diagram Explanation:** - The list is a sequence of numbers with specific indices. - The pivot value `45` is highlighted in green to show its role as the pivot. - The pointers for `left` and `right` are positioned to show their current index and value selections. **Next Steps in Quick Sort:** 1. **Comparison:** - The algorithm compares elements to the pivot `45`. - If the left value `94` is greater than the pivot, it is kept in place. - The right value `41` is less than the pivot, indicating these need to be swapped. 2. **Swap Values:** - Swap `94` (left) with `41` (right). - Updated list: | [0] | [1] | [2] | [3] | [4] | [5] | [6] | [7] | [8] | [9] | [10] | |---|---|---|---|---|---|---|---|---|---|---| | 34 | 25 | 39 | 41 | 17 | 78 | 94 | 45 | 91 | 56 | 77 | 86 | 3. **Move Pointers:** - Increment `left` index to `78`.
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