Deck 19: Binary Trees
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Deck 19: Binary Trees
1
Every node in a binary tree has at most ____ children.
A) one
B) two
C) three
D) four
A) one
B) two
C) three
D) four
B
2
To delete an item from the binary search tree,you must do the following:
1.Find the node containing the item (if any)to be deleted.
2.Delete the node.
1.Find the node containing the item (if any)to be deleted.
2.Delete the node.
True
3
A binary tree has a special node called the ____ node.
A) super
B) root
C) superparent
D) rootleaf
A) super
B) root
C) superparent
D) rootleaf
B
4
A pointer to the root node of the binary tree is stored outside the binary tree in a pointer variable,usually called the ____.
A) node
B) parent
C) root
D) nodeType
A) node
B) parent
C) root
D) nodeType
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5
In a diagram of a binary tree,each node is represented as a(n)____.
A) line
B) triangle
C) circle
D) rectangle
A) line
B) triangle
C) circle
D) rectangle
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6
In C++,a function name without any parentheses is considered a pointer to the function.
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7
After deleting the desired item from a binary search tree,the resulting tree must be a binary search tree.
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8
In the diagram of a binary tree,an arrow is called a(n)____.
A) relation
B) path
C) directed line
D) directed branch
A) relation
B) path
C) directed line
D) directed branch
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9
The level of the root node of a binary tree is 1.
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10
Three lines at the end of an arrow in the diagram of a binary tree indicate that the subtree ____.
A) has three branches
B) has three children
C) is full
D) is empty
A) has three branches
B) has three children
C) is full
D) is empty
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11
All binary tree traversals start at the left-most child node.
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12
The operations to do inorder,preorder,and postorder traversals of a binary search tree are the same as those for a binary tree.
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13
A node in a binary tree is called a(n)____ if it has no left and right children.
A) edge
B) branch
C) leaf
D) path
A) edge
B) branch
C) leaf
D) path
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14
Duplicates are allowed in a binary search tree.
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15
For classes with pointer data members,you must explicitly overload the assignment operator and include the destructor.
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16
Consider that A is a binary tree,C and D are the subtrees of A.Which of the following statements is always true?
A) C and D are binary trees.
B) C and D are search binary trees.
C) C and D are empty trees.
D) A is empty.
A) C and D are binary trees.
B) C and D are search binary trees.
C) C and D are empty trees.
D) A is empty.
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17
The item search,insertion,and deletion operations all require the binary tree to be traversed.
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18
Each link in a binary tree node points to a(n)____ of that node.
A) parent
B) child
C) value
D) sibling
A) parent
B) child
C) value
D) sibling
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19
Every node in a binary tree has ____ pointers.
A) one
B) two
C) three
D) four
A) one
B) two
C) three
D) four
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20
In a binary tree,the branches go only from a child to a parent.
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21
When traversing a binary tree with the pointer current,the pointer current is initialized to ____.
A) NULL
B) llink
C) rlink
D) root
A) NULL
B) llink
C) rlink
D) root
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22
The ____________________ of a path in a binary tree is the number of branches on that path.
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23
The sequence of operations in a postorder traversal is ____.
A) traverse left; traverse right
B) traverse left; traverse right; visit
C) visit; traverse left; traverse right
D) traverse left; visit; traverse right
A) traverse left; traverse right
B) traverse left; traverse right; visit
C) visit; traverse left; traverse right
D) traverse left; visit; traverse right
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24
In copying a binary tree,if you use just the value of the pointer of the root node,you get a ____ copy of the data.
A) static
B) shallow
C) deep
D) local
A) static
B) shallow
C) deep
D) local
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25
The listing of the nodes produced by the postorder traversal of a binary tree is called the ____.
A) postsequence
B) postorder sequence
C) postorder table
D) post-script
A) postsequence
B) postorder sequence
C) postorder table
D) post-script
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26
The key of the right child below the root node of a search binary tree is 40.The value in the root node could be ____.
A) 30
B) 40
C) 50
D) 60
A) 30
B) 40
C) 50
D) 60
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27
In a binary search tree,the data in each node is ____ the data in the left child.
A) larger than
B) smaller than
C) equal to
D) larger or equal to
A) larger than
B) smaller than
C) equal to
D) larger or equal to
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28
A binary tree is empty if root is ____.
A) 0
B) 1
C) "zero"
D) NULL
A) 0
B) 1
C) "zero"
D) NULL
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29
The three traversal algorithms discussed for binary trees are ____,____,and ____.
A) order, preorder, postorder
B) in, preorder, order
C) order, preorder, post
D) inorder, preorder, postorder
A) order, preorder, postorder
B) in, preorder, order
C) order, preorder, post
D) inorder, preorder, postorder
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30
A binary tree is also a(n)____.
A) stack
B) linked list
C) graph
D) array
A) stack
B) linked list
C) graph
D) array
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31
In a binary search tree,the data in each node is ____ the data in the right child.
A) equal to
B) smaller than
C) greater than
D) smaller or equal to
A) equal to
B) smaller than
C) greater than
D) smaller or equal to
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32
The ____ of a node in a binary tree is the number of branches on the path from the root to the node.
A) height
B) level
C) width
D) size
A) height
B) level
C) width
D) size
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33
In a(n)____________________ traversal,the binary tree is traversed as follows:
1.Traverse the left subtree
2.Visit the node
3.Traverse the right subtree
1.Traverse the left subtree
2.Visit the node
3.Traverse the right subtree
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34
The listing of the nodes produced by the preorder traversal of a binary tree is called the ____________________.
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35
The most common operation performed on a binary tree is a(n)____.
A) insertion
B) deletion
C) search
D) traversal
A) insertion
B) deletion
C) search
D) traversal
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36
In a(n)____________________ traversal,the binary tree is traversed as follows:
1. Visit the node.
2.Traverse the left subtree.
3.Traverse the right subtree.
1. Visit the node.
2.Traverse the left subtree.
3.Traverse the right subtree.
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37
In a binary tree,the level of the children of the root node is ____.
A) 0
B) 1
C) 2
D) 3
A) 0
B) 1
C) 2
D) 3
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38
The search function searches the binary search tree for a given item.If the item is found in the binary search tree,it returns ____.
A) true
B) false
C) a reference to the node where the item was found
D) 1
A) true
B) false
C) a reference to the node where the item was found
D) 1
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39
The ____________________ of a binary tree is the number of nodes on the longest path from the root to a leaf.
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40
Assume the key of the left child below the root node of a binary search tree is 30.The value in the root node could be ____.
A) 0
B) 10
C) 30
D) 40
A) 0
B) 10
C) 30
D) 40
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41
When a class object is passed by value,the ____________________ constructor copies the value of the actual parameters into the formal parameters.
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42
Let T be a binary search tree with n nodes,in which n > 0.When T is linear,the search algorithm makes ____________________ key comparisons,in the unsuccessful case.
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43
The listing of the nodes produced by the inorder traversal of a binary tree is called the ____________________.
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44
Let T be a binary search tree with n nodes,in which n > 0.The average number of nodes visited in a search of T is approximately O(____________________).
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45
To destroy a binary tree,for each node,first we destroy its left subtree,then its right subtree,and then the node itself.We must then use the operator ____________________ to deallocate the memory occupied by the node.
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46
Let T be a binary search tree with n nodes,in which n > 0.The number of key comparisons is approximately O(____________________).
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47
After inserting an item in a binary search tree,the resulting binary tree must be a(n)____________________.
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48
In addition to the inorder,preorder,and postorder traversals,a binary tree can also be traversed level-by-level,which is also known as ____________________ traversal.
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49
1.current = root;
2.while (current is not NULL or stack is nonempty)
if (current is not NULL)
{
visit current node;
push current onto stack;
current = current->lLink;
}
else
{
current = stack.top();
pop stack;
current = current->rLink; //move to the right child
}
2.while (current is not NULL or stack is nonempty)
if (current is not NULL)
{
visit current node;
push current onto stack;
current = current->lLink;
}
else
{
current = stack.top();
pop stack;
current = current->rLink; //move to the right child
}
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50
The algorithm below describes the nonrecursive ____________________ traversal of a binary tree.
1.current = root;
2.while (current is not NULL or stack is nonempty)
if (current is not NULL)
{
push current onto stack;
current = current->lLink;
}
else
{
current = stack.top();
pop stack;
visit current; //visit the node
current = current->rLink;//move to right child
}
1.current = root;
2.while (current is not NULL or stack is nonempty)
if (current is not NULL)
{
push current onto stack;
current = current->lLink;
}
else
{
current = stack.top();
pop stack;
visit current; //visit the node
current = current->rLink;//move to right child
}
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