What is the purpose of using Huffman Codes? Explain the steps of building a huffman tree. Design the Huffman codes for the following set of characters and their frequencies: a:15, e:19, s:5, d:6, f:4, g:7, h:8, t:10.
### Purpose of Using Huffman Codes Huffman coding is a lossless data compression algorithm used to minimize the total number of bits required to encode a given set of characters. It assigns shorter codes to more frequently occurring characters and longer codes to less frequent ones, ensuring optimal encoding efficiency. --- ### Steps to Build a Huffman Tree 1. Create a Priority Queue (Min-Heap) - Insert all characters and their frequencies as individual nodes into a min-heap. 2. Build the Huffman Tree - Remove the two nodes with the lowest frequencies. - Create a new node with these two as children, where the new node’s frequency is the ________ __________ _________ _______ ___ ____ ____ _______ ______ ____.
_________ ___ _______ ________ _________.
___ ______ _____ ___ ________.
__________ _________ ______ ___ ________ _________ ________ _______ _____ _______.
____ _______ _______ ___ _____ ________ _________ _______.
_________ __________ __________ ____ _________.
_________ ____ ______ ________ ____ _______ ______ __________ ______ ________ ___ __________.
________ __________ ___ ___ ______ __________ _______.
_____ ________ _____ ________ _________ ___.
__________ _________ ____ _________ _____ __________ ________ ___ _____.
____ ________ ________ _____ ________ __________ ____ ________ ____.
_______ _____ _____ _______ ________ _______ _____ ________ ______.
_____ ___ ____ _________ _____.
________ __________ _______ ________ ______ _______ ____ _________ __________ ___.
____ __________ ________ _______ ____ _____ ____ ________ _______.
___ ________ ____ ____ _______ ______ ____ __________ ________ ______ ______ _________.
____ __________ ___ ____ ____ _______ ____ ______ ________.
___ __________ ___ ___ ________ ____ __________ ______.
_____ _____ ____ ___ __________ _____ ____ ___ _____.
____ __________ _________ ____ ____.
_______ ________ ______ __________ ________ ______ ___ _____ ___.
________ __________ ___ ______ __________ ________ ______ _____.
_____ ____ _____ ___ ______.
____ _____ _______ ______ __________ _________ ______ __________ _______ _______.
_______ __________ __________ _________ _________ _____ _______ _______ _________ ______.
____ _______ ____ ____ ______ _____ _____ _____ ________ _______.
________ _____ _____ _____ ________ _________ _________.
____ ____ ____ __________ ___ ______ ______ _______ _______ _______ ____ _________.
_______ ______ ____ ____ _____ ________.
_________ ___ _______ __________ ______ __________ ___ _________ _________.
__________ _____ _______ ___ ______.
______ ___ _________ _______ __________ _________ _______ ________ _____ _________ __________.
______ _________ ______ ___ _________ ____ ______ _______.
____ ___ __________ _______ _________.
_________ ______ ___ _________ ________ ___ ______ _______ ______.
________ _____ __________ ___ __________ _______ ______ ______ ____ _____ _______.
_______ _________ ___ ____ ____ ________ ________ _________ ____ ______ _________.
_____ ________ _______ _______ ___.
________ __________ _________ ___ _____.
_________ __________ ___ __________ ____ _____.
Get Full Answer on WhatsApp
Clique problem
What is the use of Topological sorting? Write and explain the Topological sorting algorithm. Also, compute the time complexity for the topological sorting algorithm.
Vertex cover problem
What is a recurrence relation? Solve the following recurrence relations using the Master’s method
a.
b.
What are NP-Hard and NP-Complete problem? What is the role of reduction? Explain with the help of an example.
3-CNF SAT
Write and explain the linear search algorithm and discuss its best and worstcase time complexity. Show the working of the linear search algorithm for the data: 12, 11, 3, 9, 15, 20, 18, 19, 13, 8, 2, 1, 16.