[Verse 1]
Text compression's got a brilliant scheme
Huffman's algorithm, maximum extreme
Count every character, build frequency maps
Letters that appear most get shorter gaps
Common symbols shrink down to single bits
Rare ones expand but the savings still hit
It's all about the weighted binary tree
Where popular chars climb up efficiently
[Chorus]
Short codes for frequent, long codes for rare
Huffman's the master of optimal care
Binary tree with leaves that contain
Characters dancing in the coding game
Prefix property keeps it all clean
No code's a prefix of another scene
Greedy algorithm that always succeeds
Minimal average length is what it feeds
[Verse 2]
Start with leaf nodes, each char gets its own
Priority queue where the smallest are grown
Merge lowest weights into parent nodes
Building from bottom as the tree explodes
Left branch gets zero, right branch gets one
Trace from root down until path is done
Each character lives at a terminal spot
Internal nodes hold the weight that they've got
[Chorus]
Short codes for frequent, long codes for rare
Huffman's the master of optimal care
Binary tree with leaves that contain
Characters dancing in the coding game
Prefix property keeps it all clean
No code's a prefix of another scene
Greedy algorithm that always succeeds
Minimal average length is what it feeds
[Bridge]
Entropy sets the theoretical floor
Huffman gets close but can't do much more
When frequencies match powers of two
The coding becomes perfectly true
Adaptive versions update on demand
Static tables need scanning first hand
[Verse 3]
Decoding reads bits from left to the right
Following branches until chars come to sight
No ambiguity with prefix codes intact
Synchronization errors stay compact
Space savings massive when skew is severe
English text compression makes gains crystal clear
Applications ranging from ZIP to JPEG
Huffman's foundation keeps compression on track
[Chorus]
Short codes for frequent, long codes for rare
Huffman's the master of optimal care
Binary tree with leaves that contain
Characters dancing in the coding game
Prefix property keeps it all clean
No code's a prefix of another scene
Greedy algorithm that always succeeds
Minimal average length is what it feeds
[Outro]
Frequency tables and binary trees
Huffman coding brings data to its knees
Compression ratio tells the whole tale
When common patterns consistently prevail