scan0026 - PROBLEM#5 Page 635 Problem#4"Show how to...

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Unformatted text preview: PROBLEM #5 Page 635, Problem #4 "Show how to modify Program 13.6 to find the maximum of n elements in 0(1) time using n 1+8 CRCW processors for any fixed a > 0." Let us try a "divide-and-conquer" approach to the problem; that is, let us begin by reducing the original problem to a number of sub- problems each of which we could solve recursively using the method of Program 13.6 (which finds the maximum of k elements in 0(1) time using k2 processors). Suppose we begin by dividing up the input array A[1..n] into 210‘ equal- sized subregions. Each subregion would thus consist of (circle one): (1) na n nl-G. ”CL—1 elements. Using Program 13.6 to find the maximum of each subregion in 0(1) time would therefore require (circle one): (2) n a. n 2a n l—Za n 2—20: processors per subregion. Since we have a total of (circle one): (3) I! a n 1+8 n l-s n l—Ze processors available, that means we could process (circle one): _ 1 1 +23 (4) n8 1+2a n +a+a na—a n —a subregions concurrently in 0(1) time. ...
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