Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN: 9780133594140
Author: James Kurose, Keith Ross
Publisher: PEARSON
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n=6 and A=(3,5,4,1,3,2). Draw only the right half of the corresponding walkthrough as shown in P.155, showing only the list A at the end
![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?](https://content.bartleby.com/qna-images/question/a4792360-22b4-40c0-a48a-02ce03c9f6f7/9c571b2f-6ca8-4aa9-a846-0a17f83d35fe/k9n64lk_processed.png)
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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