Data Structures and C++ Constants

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Questions and Answers

What effect does using const with a reference parameter have in a function?

  • It increases the memory usage during function call.
  • It prevents the function from modifying the object. (correct)
  • It allows the function to change the object property.
  • It creates an unnecessary copy of the object.

In the context of class member functions, what does const at the end of a function signature imply?

  • The function can modify member variables of the class.
  • The function cannot change any member variables of the class. (correct)
  • The function can create new member variables.
  • The function can only read public member variables.

Why might one prefer to use a reference parameter with const instead of call by value?

  • It avoids the overhead of object copying. (correct)
  • It ensures faster execution regardless of object size.
  • It automatically dereferences pointers.
  • It allows altering the original object.

What is a consequence of marking a function signature with const?

<p>The function can read and protect the member variables from changes. (B)</p> Signup and view all the answers

What role does a copy constructor play when parameters are passed by value?

<p>It creates a duplicate of the object for function use. (C)</p> Signup and view all the answers

How is access to member variables handled in a function marked const?

<p>It permits reading public variables and disallows any changes. (D)</p> Signup and view all the answers

What does the findMin() function's const qualifier suggest about its behavior?

<p>It guarantees not to modify the tree's member variables. (C)</p> Signup and view all the answers

Why is it important to use const for reference parameters in functions?

<p>To prevent unintended modifications to the object, promoting safer code. (C)</p> Signup and view all the answers

What does a balance factor of 1 indicate about a node's subtrees?

<p>The left subtree is one level higher than the right subtree. (C)</p> Signup and view all the answers

In a balanced tree, how is the balance factor used during creation?

<p>It is essential for determining the balance and height of each subtree. (D)</p> Signup and view all the answers

If a node has a balance factor of -1, what can be inferred regarding its left and right subtrees?

<p>The right subtree is one level higher than the left subtree. (D)</p> Signup and view all the answers

What is the purpose of calculating the balance factor in tree structure management?

<p>To facilitate the searching process efficiently. (A)</p> Signup and view all the answers

Which of the following is true about the representation of balance factors in the example provided?

<p>The balance factor helps you understand the height differences between subtrees. (D)</p> Signup and view all the answers

What is the main disadvantage of inserting sorted data into a binary search tree?

<p>It resembles a linked list. (D)</p> Signup and view all the answers

How many comparisons are needed to find an element in a balanced binary search tree with one lakh nodes?

<p>Approximately 20 comparisons. (A)</p> Signup and view all the answers

What is one way to ensure the benefits of a binary search tree when inserting data?

<p>Keep the binary search tree balanced. (A)</p> Signup and view all the answers

Which of the following best describes the search process in a binary search tree created from sorted data?

<p>It requires traversal of all nodes in the worst case. (D)</p> Signup and view all the answers

What will the shape of a binary search tree be if nodes are inserted in strictly increasing order?

<p>A degenerate tree resembling a linked list. (B)</p> Signup and view all the answers

What data property does every node in a binary search tree maintain regarding its children?

<p>The left subtree contains smaller numbers than the node. (B)</p> Signup and view all the answers

Which of the following statements accurately describes BST's search complexity compared to a linked list?

<p>BST searches require fewer comparisons than linked lists for large data sets. (C)</p> Signup and view all the answers

What is the consequence of a binary search tree being unbalanced during searches?

<p>Increases the number of comparisons necessary to find a value. (B)</p> Signup and view all the answers

What balancing technique can be applied to binary search trees to maintain efficiency?

<p>Implement an AVL or Red-Black tree structure. (C)</p> Signup and view all the answers

What is the requirement for the heights of the left and right subtrees in an AVL tree?

<p>They may differ by at most 1. (C)</p> Signup and view all the answers

What is the minimum number of data items required to create a complete binary tree of depth d?

<p>(2d + 1) - 1 data items. (B)</p> Signup and view all the answers

How is the height defined for an empty subtree in the context of AVL trees?

<p>Height of an empty tree is defined as -1. (A)</p> Signup and view all the answers

What happens to a binary tree if the difference in height between its left and right subtrees exceeds 1?

<p>It is no longer considered an AVL tree. (C)</p> Signup and view all the answers

Which of the following statements is true regarding the levels in a binary tree?

<p>Each level is counted starting from the root at level 0. (C)</p> Signup and view all the answers

What is a key characteristic of the node balance in a binary tree?

<p>It is defined as the left subtree height minus the right subtree height. (D)</p> Signup and view all the answers

Which of the following scenarios describes an unbalanced binary tree in the context of AVL trees?

<p>The left subtree is deeper by 2 levels than the right subtree. (A)</p> Signup and view all the answers

Which element represents a common misconception about complete binary trees and AVL trees?

<p>All complete binary trees are also AVL trees. (C)</p> Signup and view all the answers

When considering depth d of a binary tree, what relationship does it have with the number of required data items?

<p>It directly correlates to the maximum number of nodes possible. (C)</p> Signup and view all the answers

What is the primary purpose of using the const keyword with member functions?

<p>To prevent unintentional modification of member variables. (D)</p> Signup and view all the answers

Which of the following statements is true about returning references in functions?

<p>Returning by reference avoids creating copies of large objects. (A)</p> Signup and view all the answers

What happens if a member function does not use the const keyword when returning a reference?

<p>The caller is free to change the value of the member variable. (D)</p> Signup and view all the answers

In the context of const references, what does placing the const keyword at the beginning of the return type accomplish?

<p>It prevents any changes to the reference's value within the calling function. (C)</p> Signup and view all the answers

Why is it important to avoid returning the reference of a local variable from a function?

<p>Local variables are stored in the stack and are destroyed after function execution. (D)</p> Signup and view all the answers

What is the effect of using set methods to change member variables in an object-oriented design?

<p>They create a separation between the object's internal state and external interfaces. (D)</p> Signup and view all the answers

When is it necessary to use a copy constructor in relation to function returns?

<p>When the return type requires creating a new instance. (B)</p> Signup and view all the answers

How does using const with a member function impact software discipline?

<p>It reduces the chance of unintentional changes to object state. (D)</p> Signup and view all the answers

In what scenario would returning a non-const reference be advisable?

<p>When you want to allow modifications to the member variable. (D)</p> Signup and view all the answers

What is a potential consequence of not implementing discipline with const in programming?

<p>Higher chances of unintentional bugs and errors. (D)</p> Signup and view all the answers

Flashcards

const keyword

A keyword used to declare a constant variable, ensuring its value cannot be changed after initialization.

Degenerate Binary Search Tree

A binary search tree where all nodes have only one child, effectively resembling a linked list.

AVL Tree

A self-balancing binary search tree that maintains a specific height balance for optimal efficiency. Operations like insertion or deletion trigger rotations to maintain balance.

Reference Parameter

A function parameter that is passed by its memory location, allowing modifications within the function to directly affect the original variable.

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Call by Value

A copy of an object created during function call to prevent unintended modifications to the original object.

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Const Member Function

A method within a class marked with 'const' at the end of the function signature, indicating it cannot modify any member variables of the class.

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Member Variables

Variables within a class that store its state and can be accessed by member functions.

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Set and Get Methods

Methods used to access and modify the values of member variables, providing a controlled interface for interaction with the object's state.

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Binary Search Tree (BST)

A binary search tree (BST) is a data structure where for every node, all values in its left subtree are smaller and all values in its right subtree are larger.

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Degenerate BST

A BST is considered degenerate when all nodes have only one child, effectively resembling a linked list.

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Sorted Data Insertion in BST

The insertion of data into a BST in a sorted order results in a degenerate tree, similar to a linked list.

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Balanced BST

Maintaining a balanced BST ensures that the height of the tree remains relatively low, leading to efficient search operations.

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Benefits of Balanced BST

A balanced binary search tree guarantees efficient search operations, allowing for fast retrieval of data.

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Search Comparisons in Balanced BST

If the height of a balanced BST with one lakh nodes is 20, finding a specific number requires approximately 20 comparisons.

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Self-Balancing BST Techniques

Techniques like AVL trees and red-black trees maintain balance in a BST by performing rotations after insertion or deletions.

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Complete Binary Tree

A complete binary tree has all its levels filled, with the exception of the last level which can be filled from left to right. This means that both left and right subtrees are filled with an equal number of nodes.

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BST Height

The height of a binary tree is the maximum number of edges from the root to the farthest leaf node.

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BST Depth

The depth of a node in a BST is the number of edges from the root to that node.

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const keyword in a member function

A keyword in C++ that specifies a function cannot modify the object's data members. It ensures data integrity and prevents accidental changes.

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Returning a reference to a local variable

A function that returns a reference to a local variable. This is a mistake as the variable's memory is released when the function ends, causing unpredictable behavior.

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Returning a copy of a variable

Returning a copy of a variable instead of a reference. This prevents changes in the calling function from affecting the original variable but can be inefficient for large objects.

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Returning a reference to a member variable

Returning a reference to a member variable, allowing the caller to access and potentially modify its value. This requires careful use to ensure data integrity.

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Returning a const reference to a member variable

Use the const keyword before the reference type to prevent modifications to the returned member variable. This protects the object's data.

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Passing a const reference to a function

Using const before the reference type in a function declaration. This prevents the function from modifying the object passed to it.

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Binary Search Tree

A tree where all nodes on the right subtree are greater than the root, and all nodes on the left subtree are less than the root.

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Object Copying

The process of creating a copy of an object. The copy constructor is used for this purpose.

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Balance Factor

The difference in height between the left and right subtrees of a node in a Binary Search Tree (BST).

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Self-Balancing Techniques

A method of maintaining balance in a Binary Search Tree (BST) by performing rotations. These techniques ensure that the height of the tree remains relatively low, resulting in faster search operations.

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Balance of a node

The height of a node in a binary tree is defined as the height of its left subtree minus the height of its right subtree. Indicates the balance of a node in an AVL tree.

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Study Notes

Using the const Keyword

  • The const keyword prevents modification of parameters or member variables within a function.
  • Using a reference parameter with const avoids copying objects, saving time and memory, while prohibiting changes to the referenced object.
  • const in a member function signature (e.g., EType& findMin() const;) restricts the function from modifying member variables (state variables) of the class.
  • This practice promotes code discipline and prevents accidental modifications, which can be caught at compile time.

Degenerate Binary Search Tree (BST)

  • A degenerate BST, sometimes resembling a linked list, occurs when inserting data in sorted order.
  • Insertions in sorted order result in a tree with only left or right subtrees, negating BST benefits for quicker search.
  • Searching in a degenerate BST takes linear time (O(n)), similar to searching a linked list, unlike a balanced BST, which takes logarithmic time (O(log n)).

AVL Tree

  • An AVL tree is a self-balancing BST, ensuring efficient search performance by adhering to a height-balancing condition.
  • The height difference between left and right subtrees of any node is restricted to a maximum of 1.
  • An empty tree has a height of -1.
  • Height is calculated from the bottom-most level.
  • This balance condition is applied to every node in the tree, ensuring efficient operations and preventing degeneration into a linked list.

Key Concepts

  • Height: The maximum level of a tree is its height (depth).
  • Balance Factor: The difference in heights between the left and right subtrees of a node. For an AVL tree, the balance factor must be -1, 0, or 1.

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