Lmat that w all OL SP De int[] list = {-2, 8, 13, 22, 25, 25, 38, 42, 51, 103}; This would construct the following array: [0] [1] [2] [3] [4] [5] [6] [7] [8] [9] +- -2 | 8 1 13 | 22 I 25 | 25 | 38 | 42 | 51 | 103 | +- a) What values would low, high and mid take on for the following call: binarySearch (list, 23)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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### Binary Search Example

1. **Array Initialization:**
   Suppose we have an array called `list` initialized as follows:
   ```plaintext
   int[] list = {-2, 8, 13, 22, 25, 25, 38, 42, 51, 103};
   ```
   This creates the following array:

   | Index |  0  |  1  |  2  |  3  |  4  |  5  |  6  |  7  |  8  |  9  |
   |-------|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|
   | Value | -2  |  8  | 13  | 22  | 25  | 25  | 38  | 42  | 51  | 103 |

---

2. **Binary Search Analysis:**

   a) **Search for 23:**
   - **Function Call:** `binarySearch(list, 23)`
   - **Question:** What values would `low`, `high`, and `mid` take, and what value would be returned?

   b) **Search for 38 using specific conditions:**
   - **Function Call:** `binarySearch(list, 2, 8, 38)`
   - **Note:** Utilize the Author's code for this question.
   - **Question:** What values would `low`, `high`, and `mid` take, and what value would be returned?
Transcribed Image Text:### Binary Search Example 1. **Array Initialization:** Suppose we have an array called `list` initialized as follows: ```plaintext int[] list = {-2, 8, 13, 22, 25, 25, 38, 42, 51, 103}; ``` This creates the following array: | Index | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |-------|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----| | Value | -2 | 8 | 13 | 22 | 25 | 25 | 38 | 42 | 51 | 103 | --- 2. **Binary Search Analysis:** a) **Search for 23:** - **Function Call:** `binarySearch(list, 23)` - **Question:** What values would `low`, `high`, and `mid` take, and what value would be returned? b) **Search for 38 using specific conditions:** - **Function Call:** `binarySearch(list, 2, 8, 38)` - **Note:** Utilize the Author's code for this question. - **Question:** What values would `low`, `high`, and `mid` take, and what value would be returned?
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