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The following algorithm takes an unsorted list of positive integers, along with two integers I and y. It returns the largest number, z, in the list such that either z* = y or z = z is true. It returns 0 if no such z exists. The algorithm assumes that the list size, n, is a power of 2 with n >1. integer xyMax(x, y, {ao,a1, ..., an-1}) 1 : 2 : 3 : if n == 1 if (aj == y) or (až == x) =3= %3D3D 4 : return ao 5 : else 6 : return 0 7 8 : # process the left half 9 : m1 = xyMax(x,y,{a0,….., a]-1}) 10 : 11 : 12 : # process the right half 13 : 14 : m2 = xyMax(x,y,{a],..., an-1}) 15 : 16 : # find the largest 17 : 18 : max = mị 19 : if (m2 > max) 20 : max = m2 21 : 22 : return max 23 : end xyMax What is the recurrence relation that counts the number of comparisons for this algorithm? (The critical steps are at lines 2, 3, and 19.) What is a good big-O reference function for algorithm xyMax? (Hint: Which Master Theorem applies here?)

The following algorithm takes an unsorted list of positive integers, along with two integers I and y. It returns the largest number, z, in the list such that either z* = y or z = z is true. It returns 0 if no such z exists. The algorithm assumes that the list size, n, is a power of 2 with n >1. integer xyMax(x, y, {ao,a1, ..., an-1}) 1 : 2 : 3 : if n == 1 if (aj == y) or (až == x) =3= %3D3D 4 : return ao 5 : else 6 : return 0 7 8 : # process the left half 9 : m1 = xyMax(x,y,{a0,….., a]-1}) 10 : 11 : 12 : # process the right half 13 : 14 : m2 = xyMax(x,y,{a],..., an-1}) 15 : 16 : # find the largest 17 : 18 : max = mị 19 : if (m2 > max) 20 : max = m2 21 : 22 : return max 23 : end xyMax What is the recurrence relation that counts the number of comparisons for this algorithm? (The critical steps are at lines 2, 3, and 19.) What is a good big-O reference function for algorithm xyMax? (Hint: Which Master Theorem applies here?)

Computer Networking: A Top-Down Approach (7th Edition)
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
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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4) Recursive Analysis Homework • Unanswered The following algorithm takes an unsorted list of positive integers, along with two integers a and y. It returns the largest number, z, in the list such that either 2* = y or z9 = x is true. It returns 0 if no such z exists. The algorithm assumes that the list size, n, is a power of 2 with n > 1. 1 : integer xyMax(x, y, {a0,a1, ..., an-1}) 2 : if n == 1 3 : if (að у) or (až x) 4 return ao 5 : else 6 : return 0 7 : 8 : # process the left half 9 : 10 : m1 = xyMax(x,y,{a0,..., a4 J-1}) 11 : 12 : # process the right half 13 : m2 = xyMax(x,y,{a ;,.., an-1}) 14 : 15 : 16 : # find the largest 17 : 18 : max %3D тi 19 : if (m2 > max) 20 : 21 : 22 : max %3D тg return max 23 : end xyMax What is the recurrence relation that counts the number of comparisons for this algorithm? (The critical steps are at lines 2, 3, and 19.) What is a good big-O reference function for algorithm xyMax? (Hint: Which Master Theorem applies here?)
Transcribed Image Text:4) Recursive Analysis Homework • Unanswered The following algorithm takes an unsorted list of positive integers, along with two integers a and y. It returns the largest number, z, in the list such that either 2* = y or z9 = x is true. It returns 0 if no such z exists. The algorithm assumes that the list size, n, is a power of 2 with n > 1. 1 : integer xyMax(x, y, {a0,a1, ..., an-1}) 2 : if n == 1 3 : if (að у) or (až x) 4 return ao 5 : else 6 : return 0 7 : 8 : # process the left half 9 : 10 : m1 = xyMax(x,y,{a0,..., a4 J-1}) 11 : 12 : # process the right half 13 : m2 = xyMax(x,y,{a ;,.., an-1}) 14 : 15 : 16 : # find the largest 17 : 18 : max %3D тi 19 : if (m2 > max) 20 : 21 : 22 : max %3D тg return max 23 : end xyMax What is the recurrence relation that counts the number of comparisons for this algorithm? (The critical steps are at lines 2, 3, and 19.) What is a good big-O reference function for algorithm xyMax? (Hint: Which Master Theorem applies here?)
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