Q2. The following algorithm returns the product of two numbers, a and b. The parameters x and y are natural numbers. First, prove the correctness of the algorithm. Then, analyze the time complexity of...


Q2. The following algorithm returns the product of two numbers, a and b. The parameters x and<br>y are natural numbers. First, prove the correctness of the algorithm. Then, analyze the time<br>complexity of the algorithm in the worst case scenario.<br>function mult (a, b)<br>if b = 0:<br>return 0<br>else if b is odd:<br>return (mult (2a, b/2 ) +a)<br>else:<br>return (mult (2a, b/2 ) )<br>

Extracted text: Q2. The following algorithm returns the product of two numbers, a and b. The parameters x and y are natural numbers. First, prove the correctness of the algorithm. Then, analyze the time complexity of the algorithm in the worst case scenario. function mult (a, b) if b = 0: return 0 else if b is odd: return (mult (2a, b/2 ) +a) else: return (mult (2a, b/2 ) )

Jun 11, 2022
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