Algorithm Binary Search**Input:** - \( L = a_1, a_2, \ldots, a_n \), a list of distinct integers- \( x \), an integer**Output:** - \( p \), an integer**Procedure:**1. Set \( i = 1 \)2. Set \( j = n \)3. Set \( \text{found} = F \)4. Set \( p = 0 \)5. While \( i \leq j \) and \( \text{found} = F \), do the following: - Calculate \( m = \left\lfloor \frac{i+j}{2} \right\rfloor \) - If \( a_m = x \) then - Set \( \text{found} = T \) and \( p = m \) - Else if \( a_m < x \) then - Set \( i = m + 1 \) - Else - Set \( j = m - 1 \)6. Return \( p \)**Example:**When performing Algorithm Binary Search with input \( L = 1, 3, 5, 7, 9, 11, 13 \) and \( x = 9 \), how many times is \( x \) compared to an element \( a_i \) of the list \( L \)?

In computer science, binary search, also known as half-interval search, logarithmic search, or…

Answered: Algorithm Binary Search Input: L = a₁,…

Algorithm Binary Search Input: L = a₁, a2, ..., an list of distinct integers; x integer Output: p integer i = 1; j=n; found = F; p = 0; while i

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Question

Algorithm Binary Search

**Input:**
- \( L = a_1, a_2, \ldots, a_n \), a list of distinct integers
- \( x \), an integer

**Output:**
- \( p \), an integer

**Procedure:**
1. Set \( i = 1 \)
2. Set \( j = n \)
3. Set \( \text{found} = F \)
4. Set \( p = 0 \)

5. While \( i \leq j \) and \( \text{found} = F \), do the following:
- Calculate \( m = \left\lfloor \frac{i+j}{2} \right\rfloor \)

- If \( a_m = x \) then
- Set \( \text{found} = T \) and \( p = m \)
- Else if \( a_m < x \) then
- Set \( i = m + 1 \)
- Else
- Set \( j = m - 1 \)

6. Return \( p \)

**Example:**
When performing Algorithm Binary Search with input \( L = 1, 3, 5, 7, 9, 11, 13 \) and \( x = 9 \), how many times is \( x \) compared to an element \( a_i \) of the list \( L \)?

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