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About Huffman Coding
Huffman Coding is a lossless data compression algorithm that assigns variable-length codes to characters based on their frequencies.
Algorithm Steps:
- Calculate Frequency: Count the occurrence of each character in the input text
- Create Leaf Nodes: Create a leaf node for each character with its frequency
- Build Priority Queue: Insert all nodes into a min-heap ordered by frequency
- Build Tree: Repeatedly extract two nodes with minimum frequency, create a parent node with combined frequency, and insert back into the queue
- Generate Codes: Traverse the tree from root to leaves, assigning 0 for left edges and 1 for right edges
- Encode: Replace each character in the original text with its Huffman code
Key Properties:
- Prefix-free: No code is a prefix of another code
- Optimal: Produces the shortest average code length among all prefix codes
- Variable-length: More frequent characters get shorter codes
- Lossless: Original data can be perfectly reconstructed