Given the code below: Plain tex def bar(x, y): if y > 0: if (y % 2): return bar(x, y >> 1) + bar(x, y >> 1) + x return bar(x, y >> 1) + bar(x, y >> 1) else: return 0 Find: 1. The recurrence relation when x.y>0, (The answer should be of the form T(x.x) = T) + O(). fill the blanks) 2. worst-case time complexity 3. worst-case auxiliary space complexity 4. Explain how can the time complexity be improved without using multiplication operations.

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
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Given the code below:
Plain text
def bar(x, y):
if y > 0:
if (y % 2):
return bar(x, y >> 1) + bar (x, y >> 1) + x
return bar(x, y >> 1) + bar(x, y >> 1)
else:
return 0
Find:
1. The recurrence relation when xy>0,
(The answer should be of the form T(xv) = TO + O), fill the blanks)
2. worst-case time complexity
3. worst-case auxiliary space complexity
4. Explain how can the time complexity be improved without using multiplication
operations.
Transcribed Image Text:Given the code below: Plain text def bar(x, y): if y > 0: if (y % 2): return bar(x, y >> 1) + bar (x, y >> 1) + x return bar(x, y >> 1) + bar(x, y >> 1) else: return 0 Find: 1. The recurrence relation when xy>0, (The answer should be of the form T(xv) = TO + O), fill the blanks) 2. worst-case time complexity 3. worst-case auxiliary space complexity 4. Explain how can the time complexity be improved without using multiplication operations.
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