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Binary Search V1 Algorithm: BinarySearch v1(arr), min, max, key) if max < min then return false < Mid Mid Mid < else mid = (max + min) / 2 if list[mid]> key then return BinarySearch_v1(arr[], min, mid – 1, key) else if list[mid]

Binary Search V1 Algorithm: BinarySearch v1(arr), min, max, key) if max < min then return false < Mid Mid Mid < else mid = (max + min) / 2 if list[mid]> key then return BinarySearch_v1(arr[], min, mid – 1, key) else if list[mid]

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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Set up a recurrence relation for the BinarySearch_v1 and solve it step by step. Write the time efficiency class that this algorithm belongs to? 

Binary Search V1 Algorithm: BinarySearch v1(arr[], min, max, key) if max < min then return false < Mid Mid Mid < else mid = (max + min) / 2 if list[mid]> key then return BinarySearch_v1(arr[], min, mid – 1, key) else if list[mid]< key then return BinarySearch_v1(arr[], mid + 1, max, key) else return mid Binary Search V2 Algorithm: BinarySearch_v2(arr[], min, max, key) if min < 1 then return -1 else mid1 = min + (max - min) / 3 mid2 = max + (max - min) / 3 if arr[mid1]=key then return mid1 < Mid1 Mid1 Mid1 < x < Mid2 Mid2 Mid2 < if arr[mid2] = key then return mid2 if list[mid1]> key then return BinarySearch_v2(arr[], min, mid1 – 1, key) else if list[mid2]< key then return BinarySearch_v2(arr[], mid2 + 1, max, key) else return BinarySearch_v2(arr[], mid1 + 1, mid2 – 1, key)
Transcribed Image Text:Binary Search V1 Algorithm: BinarySearch v1(arr[], min, max, key) if max < min then return false < Mid Mid Mid < else mid = (max + min) / 2 if list[mid]> key then return BinarySearch_v1(arr[], min, mid – 1, key) else if list[mid]< key then return BinarySearch_v1(arr[], mid + 1, max, key) else return mid Binary Search V2 Algorithm: BinarySearch_v2(arr[], min, max, key) if min < 1 then return -1 else mid1 = min + (max - min) / 3 mid2 = max + (max - min) / 3 if arr[mid1]=key then return mid1 < Mid1 Mid1 Mid1 < x < Mid2 Mid2 Mid2 < if arr[mid2] = key then return mid2 if list[mid1]> key then return BinarySearch_v2(arr[], min, mid1 – 1, key) else if list[mid2]< key then return BinarySearch_v2(arr[], mid2 + 1, max, key) else return BinarySearch_v2(arr[], mid1 + 1, mid2 – 1, key)
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