Binary search tree: Binary search tree is a tree; the nodes are sorted in the semantic order. Binary search tree nodes can have zero, one, or two children. Node without children is called a leaf or end node. A node that does not have a superior node is called a root node or starting node. In binary search tree, the left subtree contains the nodes lesser than the root node. The right subtree contains the nodes greater than the root node. The binary search will be performed until finding a search node or reaching the end of the tree.

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Answer 1

Question

Chapter 8, Problem 49E

Program Plan Intro

Binary search tree:

Binary search tree is a tree; the nodes are sorted in the semantic order.

Binary search tree nodes can have zero, one, or two children.

Node without children is called a leaf or end node.

A node that does not have a superior node is called a root node or starting node.

In binary search tree, the left subtree contains the nodes lesser than the root node.

The right subtree contains the nodes greater than the root node.

The binary search will be performed until finding a search node or reaching the end of the tree.

Explanation of Solution

Print the elements of binary search tree:

Step1:

Initially, the algorithm traverses the tree by the order right node, root node, and left node. Here, the root node of the tree is 50.

It has right node value as 72 in the first level.

Node 72 has right node 96 in the second level.

Next, node 96 has right node 107 in the third level.

Node 107 does not have left and right child, so it print the current node element “107”.

Then it print the root node element “96”.

Finally it print the left node element “95”.

As per the algorithm, the “print()” method reaches the node 72. So, it print the current node element “72”.

Then it print the left node element “51”.

As per the algorithm, next it reaches the node 50. So, it print the current node element “50”.

Then it print the left node element “26”.

Step 2:

As per the algorithm, the “print()” method reaches the right node 25...

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Answer 2

Question

Chapter 8, Problem 49E

Program Plan Intro

Binary search tree:

Binary search tree is a tree; the nodes are sorted in the semantic order.

Binary search tree nodes can have zero, one, or two children.

Node without children is called a leaf or end node.

A node that does not have a superior node is called a root node or starting node.

In binary search tree, the left subtree contains the nodes lesser than the root node.

The right subtree contains the nodes greater than the root node.

The binary search will be performed until finding a search node or reaching the end of the tree.

Explanation of Solution

Print the elements of binary search tree:

Step1:

Initially, the algorithm traverses the tree by the order right node, root node, and left node. Here, the root node of the tree is 50.

It has right node value as 72 in the first level.

Node 72 has right node 96 in the second level.

Next, node 96 has right node 107 in the third level.

Node 107 does not have left and right child, so it print the current node element “107”.

Then it print the root node element “96”.

Finally it print the left node element “95”.

As per the algorithm, the “print()” method reaches the node 72. So, it print the current node element “72”.

Then it print the left node element “51”.

As per the algorithm, next it reaches the node 50. So, it print the current node element “50”.

Then it print the left node element “26”.

Step 2:

As per the algorithm, the “print()” method reaches the right node 25...

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 8, Problem 49E

Program Plan Intro

Binary search tree:

Binary search tree is a tree; the nodes are sorted in the semantic order.

Binary search tree nodes can have zero, one, or two children.

Node without children is called a leaf or end node.

A node that does not have a superior node is called a root node or starting node.

In binary search tree, the left subtree contains the nodes lesser than the root node.

The right subtree contains the nodes greater than the root node.

The binary search will be performed until finding a search node or reaching the end of the tree.

Explanation of Solution

Print the elements of binary search tree:

Step1:

Initially, the algorithm traverses the tree by the order right node, root node, and left node. Here, the root node of the tree is 50.

It has right node value as 72 in the first level.

Node 72 has right node 96 in the second level.

Next, node 96 has right node 107 in the third level.

Node 107 does not have left and right child, so it print the current node element “107”.

Then it print the root node element “96”.

Finally it print the left node element “95”.

As per the algorithm, the “print()” method reaches the node 72. So, it print the current node element “72”.

Then it print the left node element “51”.

As per the algorithm, next it reaches the node 50. So, it print the current node element “50”.

Then it print the left node element “26”.

Step 2:

As per the algorithm, the “print()” method reaches the right node 25...

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 8, Problem 49E

Program Plan Intro

Binary search tree:

Binary search tree is a tree; the nodes are sorted in the semantic order.

Binary search tree nodes can have zero, one, or two children.

Node without children is called a leaf or end node.

A node that does not have a superior node is called a root node or starting node.

In binary search tree, the left subtree contains the nodes lesser than the root node.

The right subtree contains the nodes greater than the root node.

The binary search will be performed until finding a search node or reaching the end of the tree.

Explanation of Solution

Print the elements of binary search tree:

Step1:

Initially, the algorithm traverses the tree by the order right node, root node, and left node. Here, the root node of the tree is 50.

It has right node value as 72 in the first level.

Node 72 has right node 96 in the second level.

Next, node 96 has right node 107 in the third level.

Node 107 does not have left and right child, so it print the current node element “107”.

Then it print the root node element “96”.

Finally it print the left node element “95”.

As per the algorithm, the “print()” method reaches the node 72. So, it print the current node element “72”.

Then it print the left node element “51”.

As per the algorithm, next it reaches the node 50. So, it print the current node element “50”.

Then it print the left node element “26”.

Step 2:

As per the algorithm, the “print()” method reaches the right node 25...

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 8, Problem 49E

Program Plan Intro

Binary search tree:

Binary search tree is a tree; the nodes are sorted in the semantic order.

Binary search tree nodes can have zero, one, or two children.

Node without children is called a leaf or end node.

A node that does not have a superior node is called a root node or starting node.

In binary search tree, the left subtree contains the nodes lesser than the root node.

The right subtree contains the nodes greater than the root node.

The binary search will be performed until finding a search node or reaching the end of the tree.

Explanation of Solution

Print the elements of binary search tree:

Step1:

Initially, the algorithm traverses the tree by the order right node, root node, and left node. Here, the root node of the tree is 50.

It has right node value as 72 in the first level.

Node 72 has right node 96 in the second level.

Next, node 96 has right node 107 in the third level.

Node 107 does not have left and right child, so it print the current node element “107”.

Then it print the root node element “96”.

Finally it print the left node element “95”.

As per the algorithm, the “print()” method reaches the node 72. So, it print the current node element “72”.

Then it print the left node element “51”.

As per the algorithm, next it reaches the node 50. So, it print the current node element “50”.

Then it print the left node element “26”.

Step 2:

As per the algorithm, the “print()” method reaches the right node 25...

Answer 6

Chapter 8, Problem 49E

Program Plan Intro

Binary search tree:

Binary search tree is a tree; the nodes are sorted in the semantic order.

Binary search tree nodes can have zero, one, or two children.

Node without children is called a leaf or end node.

A node that does not have a superior node is called a root node or starting node.

In binary search tree, the left subtree contains the nodes lesser than the root node.

The right subtree contains the nodes greater than the root node.

The binary search will be performed until finding a search node or reaching the end of the tree.

Answer 7

Chapter 8, Problem 49E

Program Plan Intro

Binary search tree:

Binary search tree is a tree; the nodes are sorted in the semantic order.

Binary search tree nodes can have zero, one, or two children.

Node without children is called a leaf or end node.

A node that does not have a superior node is called a root node or starting node.

In binary search tree, the left subtree contains the nodes lesser than the root node.

The right subtree contains the nodes greater than the root node.

The binary search will be performed until finding a search node or reaching the end of the tree.

Answer 8

Explanation of Solution

Print the elements of binary search tree:

Step1:

Initially, the algorithm traverses the tree by the order right node, root node, and left node. Here, the root node of the tree is 50.

It has right node value as 72 in the first level.

Node 72 has right node 96 in the second level.

Next, node 96 has right node 107 in the third level.

Node 107 does not have left and right child, so it print the current node element “107”.

Then it print the root node element “96”.

Finally it print the left node element “95”.

As per the algorithm, the “print()” method reaches the node 72. So, it print the current node element “72”.

Then it print the left node element “51”.

As per the algorithm, next it reaches the node 50. So, it print the current node element “50”.

Then it print the left node element “26”.

Step 2:

As per the algorithm, the “print()” method reaches the right node 25...

Answer 9

Explanation of Solution

Print the elements of binary search tree:

Step1:

Initially, the algorithm traverses the tree by the order right node, root node, and left node. Here, the root node of the tree is 50.

It has right node value as 72 in the first level.

Node 72 has right node 96 in the second level.

Next, node 96 has right node 107 in the third level.

Node 107 does not have left and right child, so it print the current node element “107”.

Then it print the root node element “96”.

Finally it print the left node element “95”.

As per the algorithm, the “print()” method reaches the node 72. So, it print the current node element “72”.

Then it print the left node element “51”.

As per the algorithm, next it reaches the node 50. So, it print the current node element “50”.

Then it print the left node element “26”.

Step 2:

As per the algorithm, the “print()” method reaches the right node 25...

Answer 10

Expert Solution & Answer

Answer 11

Expert Solution & Answer

Answer 12

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Answer 13

Ch. 8 - Prob. 1E Ch. 8 - Prob. 2E Ch. 8 - Prob. 3E Ch. 8 - Prob. 4E Ch. 8 - Prob. 5E Ch. 8 - Prob. 6E Ch. 8 - Prob. 7E Ch. 8 - Prob. 8E Ch. 8 - Prob. 9E Ch. 8 - Prob. 10E

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Chapter 8 Solutions