Huffmantree

Huffmantree is a data structure used in Huffman coding, a lossless data compression algorithm. It is a binary tree where each leaf node represents a unique character and its associated frequency. Internal nodes do not represent characters themselves but are used to guide the encoding and decoding process. The tree is constructed by repeatedly merging the two nodes with the lowest frequencies. This process continues until a single root node remains. The path from the root to any leaf node defines the Huffman code for that character, with a left branch typically representing a '0' and a right branch a '1'. This variable-length encoding assigns shorter codes to more frequent characters and longer codes to less frequent ones, thus achieving compression. The Huffman tree is essential for both generating the optimal prefix codes and for decoding the compressed data, as the decoder needs the same tree structure to interpret the bitstream correctly.