Write a recursive function named RecPower that takes two positive integers x and n as input...
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Write a recursive function named RecPower that takes two positive integers x and n as input parameters and recursively computes and returns the value of x". The function takes advantage of the fact that x = x2 * x2 to break each power n down into two equal or nearly equal powers: n/2 and n-n/2 (if n is odd the two powers will not be exactly equal). The function then makes two recursive calls to compute the two smaller powers and multiplies them. The base case is n=1. Your code should be efficient enough to avoid making redundant function calls. For example, to compute 35, the function will call itself twice to compute 32 and 3³. The function call that computes 32 will make a recursive call to compute 3¹ and then it will multiply the result by itself, while the function call that computes 3 will make two recursive calls to compute 3¹ and 32, and so on until the base case is reached. Obviously, you are not allowed to use the pow library function in this question. Write a recursive function named RecPower that takes two positive integers x and n as input parameters and recursively computes and returns the value of x". The function takes advantage of the fact that x = x2 * x2 to break each power n down into two equal or nearly equal powers: n/2 and n-n/2 (if n is odd the two powers will not be exactly equal). The function then makes two recursive calls to compute the two smaller powers and multiplies them. The base case is n=1. Your code should be efficient enough to avoid making redundant function calls. For example, to compute 35, the function will call itself twice to compute 32 and 3³. The function call that computes 32 will make a recursive call to compute 3¹ and then it will multiply the result by itself, while the function call that computes 3 will make two recursive calls to compute 3¹ and 32, and so on until the base case is reached. Obviously, you are not allowed to use the pow library function in this question.
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Related Book For
Numerical Methods With Chemical Engineering Applications
ISBN: 9781107135116
1st Edition
Authors: Kevin D. Dorfman, Prodromos Daoutidis
Posted Date:
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