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Thus, the while loop cannot stop before Q stop after exactly Q (one more iteration) exactly Q iterations. 1 iterations are done, though it might - 1 iterations are done, but, if L(Q – 1) = 2, it must stop after We can construct the Branching Diagram of comparisons for Binary Search #2. The first comparison is always "is A[j] < T ?" where j = [(1 + n)/2], and this comparison is placed at the top of the diagram. When “A[j] < T" is False, follow the tree down to the left to the next comparison; when “A[j] < T" is True, follow the tree down to the right to the next comparison. The leaves are the (final) comparisons that take the form "is A[p] When n = // in the middle of the page T?" 12, the diagram we get is A[6]

Thus, the while loop cannot stop before Q stop after exactly Q (one more iteration) exactly Q iterations. 1 iterations are done, though it might - 1 iterations are done, but, if L(Q – 1) = 2, it must stop after We can construct the Branching Diagram of comparisons for Binary Search #2. The first comparison is always "is A[j] < T ?" where j = [(1 + n)/2], and this comparison is placed at the top of the diagram. When “A[j] < T" is False, follow the tree down to the left to the next comparison; when “A[j] < T" is True, follow the tree down to the right to the next comparison. The leaves are the (final) comparisons that take the form "is A[p] When n = // in the middle of the page T?" 12, the diagram we get is A[6]

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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Construct the branching diagram of comparisons for Binary search #2 as shown in P.151. Assume n=4 in this problem.

Thus, the while loop cannot stop before Q stop after exactly Q (one more iteration) exactly Q iterations. 1 iterations are done, though it might - 1 iterations are done, but, if L(Q – 1) = 2, it must stop after We can construct the Branching Diagram of comparisons for Binary Search #2. The first comparison is always "is A[j] < T ?" where j = [(1 + n)/2], and this comparison is placed at the top of the diagram. When “A[j] < T" is False, follow the tree down to the left to the next comparison; when “A[j] < T" is True, follow the tree down to the right to the next comparison. The leaves are the (final) comparisons that take the form "is A[p] When n = // in the middle of the page T?" 12, the diagram we get is A[6]<T F A[3]<T A[9]<T A[2]<T A[5]<T A[8]<T A[11]<T A[1]<T A[3] =T A[4]<T A[6] =T A[7]<T A[9] =T A[10]<T A[12] =T A[1] =T A[2] =T |A[4] =T A[5] =T A[7] =T A[8] =T |A[10] =T A[11] =T This diagram is also a Binary Tree. But in it, from every internal vertex, there are exactly two edges downward in the diagram (never just one). This kind of Binary Tree is said to be a full Binary Tree. // The variable j is never equal to n so we never ask “is A[n] < T?" // Does the tree have a unique internal vertex for all (n // Are there n leaves each corresponding to one (possible) comparison // "is A[i] = T?" 1) other values of j?
Transcribed Image Text:Thus, the while loop cannot stop before Q stop after exactly Q (one more iteration) exactly Q iterations. 1 iterations are done, though it might - 1 iterations are done, but, if L(Q – 1) = 2, it must stop after We can construct the Branching Diagram of comparisons for Binary Search #2. The first comparison is always "is A[j] < T ?" where j = [(1 + n)/2], and this comparison is placed at the top of the diagram. When “A[j] < T" is False, follow the tree down to the left to the next comparison; when “A[j] < T" is True, follow the tree down to the right to the next comparison. The leaves are the (final) comparisons that take the form "is A[p] When n = // in the middle of the page T?" 12, the diagram we get is A[6]<T F A[3]<T A[9]<T A[2]<T A[5]<T A[8]<T A[11]<T A[1]<T A[3] =T A[4]<T A[6] =T A[7]<T A[9] =T A[10]<T A[12] =T A[1] =T A[2] =T |A[4] =T A[5] =T A[7] =T A[8] =T |A[10] =T A[11] =T This diagram is also a Binary Tree. But in it, from every internal vertex, there are exactly two edges downward in the diagram (never just one). This kind of Binary Tree is said to be a full Binary Tree. // The variable j is never equal to n so we never ask “is A[n] < T?" // Does the tree have a unique internal vertex for all (n // Are there n leaves each corresponding to one (possible) comparison // "is A[i] = T?" 1) other values of j?
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