[Verse 1]
Started with a root node, architect of order
Left child smaller, right child's getting taller
Recursive structure, mathematics in motion
Binary decisions, split the data ocean
Property maintained through every insertion
No duplicates allowed, strict conversion
Search complexity logarithmic time
Tree stays balanced, algorithm sublime
[Chorus]
Left less, right more, that's the BST law
Insert, delete, search - no structural flaw
Inorder traversal gives you sorted data
Left less, right more, binary navigator
[Verse 2]
Insertion algorithm, compare and descend
Find the empty spot where new nodes transcend
Smaller goes left, larger takes the right
Null pointer signals where to plant tonight
Deletion's trickier, three cases to handle
Leaf node's simple, just snip the candle
One child means promote, let it take the throne
Two children? Find successor, claim the zone
[Chorus]
Left less, right more, that's the BST law
Insert, delete, search - no structural flaw
Inorder traversal gives you sorted data
Left less, right more, binary navigator
[Bridge]
Successor's the smallest in the right subtree
Predecessor's the largest left, guarantee
Self-balancing variants keep depth controlled
AVL and Red-Black, stories to be told
Height determines speed of every operation
Worst case linear needs optimization
[Verse 3]
Search starts at root, comparison divine
Equal means found it, algorithm's design
Smaller go left, larger venture right
Null means not found, end the search flight
Traversal patterns unlock hidden treasures
Preorder, postorder, different measures
Range queries efficient with proper pruning
Binary search trees keep data crooning
[Outro]
Logarithmic magic in a structured tree
Left less, right more, computational spree
BST operations, foundation complete
West coast algorithms, can't accept defeat