4. Consider the following two different algorithms to raise an integer x to a power of...
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4. Consider the following two different algorithms to raise an integer x to a power of n: long powl (long x, int n) long pow2 (long x, int n) { ( if(n=0) return 1; result = 1; for (i 0; i < n; i++) result result*x return x; if (n == 0 ) return 1; if(n== 1) return x; 1/2 if(isEven (n) ) else bool isEven (int n) return pow2 ( x x, n / 2); return pow2( x* x, n / 2 ) * x; (40 points) return n 2 - 0; (a) Analyze the computational complexity of both algorithms in terms of Big-O notation. (b) Which algorithm is more efficient? 4. Consider the following two different algorithms to raise an integer x to a power of n: long powl (long x, int n) long pow2 (long x, int n) { ( if(n=0) return 1; result = 1; for (i 0; i < n; i++) result result*x return x; if (n == 0 ) return 1; if(n== 1) return x; 1/2 if(isEven (n) ) else bool isEven (int n) return pow2 ( x x, n / 2); return pow2( x* x, n / 2 ) * x; (40 points) return n 2 - 0; (a) Analyze the computational complexity of both algorithms in terms of Big-O notation. (b) Which algorithm is more efficient?
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Computer organization and architecture designing for performance
ISBN: 978-0136073734
8th edition
Authors: william stallings
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