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Assignment- 1st

Omca204

 

  1. A. Compare quick sort and merge sort.

Ans: Comparison: Quick Sort vs. Merge Sort

Aspect Quick Sort Merge Sort
Definition A divide-and-conquer sorting algorithm that selects a pivot and partitions the array into sub arrays. A divide-and-conquer sorting algorithm that divides the array, sorts the sub arrays, and merges them.
Best-Case Time Complexity O(n log n) (balanced partitions). O(n log n) (always divides into two equal halves).

 

 

 

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  1. Explain the AVL tree insertion and deletion with suitable example.

Ans: AVL Tree: Insertion and Deletion

An AVL tree (Adelson-Velsky and Landis tree) is a self-balancing binary search tree (BST).

Each node in an AVL tree has a balance factor:

  • Balance Factor = Height of left subtree – Height of right subtree.
  • A node is considered balanced if its balance factor is -1, 0, or 1.

When the balance factor of any node becomes less than -1 or greater than 1 due to insertion or deletion, the tree performs rotations

 

3 A. Write the algorithm for converting infix expression to postfix (polish) expression.

Ans: Algorithm to Convert Infix Expression to Postfix Expression

Converting an infix expression (e.g., A+BA + B) to postfix (e.g., AB+AB+) uses a stack to manage operators and ensure correct order of operations.

Here’s the step-by-step

 

  1. A. Explain the insertion operation in the linked list.

Ans: Insertion Operation in a Linked List

A linked list is a dynamic data structure where nodes are connected via pointers. Insertion involves creating a new node and linking it at the desired position.

The specific steps vary depending on the type of insertion:

 

1. Inserting at the Beginning:

  • Create a new node.
  •  

 

  1. A. Explain circular queue with diagram.

Ans: Circular Queue with Diagram

A Circular Queue is a type of queue where the last position is connected back to the first position, forming a circle. This eliminates the limitation of a normal queue where, after reaching the end of the queue, no more elements can be added even if there is space at the beginning. In a circular queue, the front and rear pointers wrap around to the beginning when the queue is not full.

Key Points:

  • Front: Points to the first