[Verse 1]
Start with a root, that's where we begin
Every node's got a left and right within
Left side smaller, right side's getting greater
Binary search tree, data navigator
Insert a value, compare as you go
Less than current, left is where you flow
Greater than current, right side's the way
Find an empty spot, that's where it'll stay
[Chorus]
Left Less Right More, that's the core
Search Insert Delete, operations we explore
Left Less Right More, keep it in your head
Balanced or not, that's how the tree is fed
In-order traversal gives you sorted gold
Left Root Right, story that's been told
[Verse 2]
Searching for a value, start from the top
Compare with current, decide when to stop
Target's smaller, go left down the line
Target's bigger, right side is fine
Found the match, return success today
Reached a null, value's gone away
Time complexity, log n when it's balanced
Linear worst case, when the tree's not managed
[Chorus]
Left Less Right More, that's the core
Search Insert Delete, operations we explore
Left Less Right More, keep it in your head
Balanced or not, that's how the tree is fed
In-order traversal gives you sorted gold
Left Root Right, story that's been told
[Bridge]
Deletion's tricky, three cases to know
No children present, just remove and go
One child waiting, promote it up high
Two children there, successor's the guy
Find the minimum in the right subtree
Replace the value, then delete carefully
Or predecessor from the left side chain
Either method keeps the structure sane
[Verse 3]
Traversal patterns, three ways to explore
Pre-order visits root before
In-order gives you sorted sequence clean
Post-order processes children first scene
Height of tree affects every operation
Balanced structure needs consideration
Self-balancing types like AVL and red-black
Keep performance tight, never look back
[Chorus]
Left Less Right More, that's the core
Search Insert Delete, operations we explore
Left Less Right More, keep it in your head
Balanced or not, that's how the tree is fed
In-order traversal gives you sorted gold
Left Root Right, story that's been told
[Outro]
Binary search tree, foundation so strong
Master these operations, you can't go wrong
Left Less Right More, remember the rule
Data structures power, developer's tool