Consider a following algorithm and answer the questions below. ALGORITHM(X) INPUT: Integer X OUTPUT: Integer count 1 count = 0 2 conver X to bit string S 3 while S# 0 (A) 14 count = count + 1 5 S=SA (S - 1) 6 return count What is the time complexity of this algorithm in Theta(0) notation where the size of bit string S is n? Justify your answer. • Suppose that the following loop is inserted in (A). Does it affect the complexity? If so, find the complexity in Theta(0) notation. Justify your answer. for i = 0 to S.length - 1
Consider a following algorithm and answer the questions below. ALGORITHM(X) INPUT: Integer X OUTPUT: Integer count 1 count = 0 2 conver X to bit string S 3 while S# 0 (A) 14 count = count + 1 5 S=SA (S - 1) 6 return count What is the time complexity of this algorithm in Theta(0) notation where the size of bit string S is n? Justify your answer. • Suppose that the following loop is inserted in (A). Does it affect the complexity? If so, find the complexity in Theta(0) notation. Justify your answer. for i = 0 to S.length - 1
Computer Networking: A Top-Down Approach (7th Edition)
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Chapter1: Computer Networks And The Internet
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![Consider the following algorithm and answer the questions below.
**ALGORITHM(X)**
- **INPUT:** Integer \(X\)
- **OUTPUT:** Integer count
1. \( \text{count} = 0 \)
2. Convert \( X \) to bit string \( S \)
3. **while** \( S \neq 0 \)
- (A)
4. \( \text{count} = \text{count} + 1 \)
5. \( S = S \land (S - 1) \)
6. **return** count
---
- **Q1:** What is the time complexity of this algorithm in Theta (Θ) notation where the size of bit string \( S \) is \( n \)? Justify your answer.
- **Q2:** Suppose that the following loop is inserted in (A). Does it affect the complexity? If so, find the complexity in Theta (Θ) notation. Justify your answer.
```
for i = 0 to S.length - 1
print S[i]
i = i + 1
```
- **Q3:** What is the return value when \( X \) is 79?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd627e045-d503-4693-9754-e0a854927fd5%2F0e0d3b4f-1851-412a-a9a3-22072ea07ab9%2Fh8mqarr_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following algorithm and answer the questions below.
**ALGORITHM(X)**
- **INPUT:** Integer \(X\)
- **OUTPUT:** Integer count
1. \( \text{count} = 0 \)
2. Convert \( X \) to bit string \( S \)
3. **while** \( S \neq 0 \)
- (A)
4. \( \text{count} = \text{count} + 1 \)
5. \( S = S \land (S - 1) \)
6. **return** count
---
- **Q1:** What is the time complexity of this algorithm in Theta (Θ) notation where the size of bit string \( S \) is \( n \)? Justify your answer.
- **Q2:** Suppose that the following loop is inserted in (A). Does it affect the complexity? If so, find the complexity in Theta (Θ) notation. Justify your answer.
```
for i = 0 to S.length - 1
print S[i]
i = i + 1
```
- **Q3:** What is the return value when \( X \) is 79?
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