[Verse 1]
Start with a root that holds no key
Empty node that's foundation free
Children pointing down the tree
Twenty-six slots for A to Z
Insert begins with simple start
Character by character we chart
Following paths that letters make
New nodes born for each step we take
[Chorus]
Trie it out, branch by branch we go
Search and insert, watch the structure grow
Prefix power, common paths we share
Find all words that start with letters there
Trie it out, memory we save
Autocomplete, that's how we behave
Root to leaf, the journey's clear
Trie operations, algorithm gear
[Verse 2]
Search begins at root node base
Follow children at each place
If the path leads to dead end
Not found message we will send
Reach a leaf with end word flag
Success result is in the bag
Time complexity we can see
Linear with the length key
[Chorus]
Trie it out, branch by branch we go
Search and insert, watch the structure grow
Prefix power, common paths we share
Find all words that start with letters there
Trie it out, memory we save
Autocomplete, that's how we behave
Root to leaf, the journey's clear
Trie operations, algorithm gear
[Bridge]
Delete gets tricky, step by step
Mark the end flag, memory kept
If node has children, leave it there
Just unmark it, handle with care
No more children, no more use
Cut the branch, memory loose
Backtrack up until you find
Shared prefix, peace of mind
[Verse 3]
Space complexity trade we make
Memory for speed we take
Common prefixes we share
Storage savings everywhere
Applications run so deep
Spell checkers, contacts we keep
IP routing, genome search
Trie structure does the research
[Outro]
From root to leaf we navigate
Character paths we create
Trie operations, fast and true
Prefix matching, me and you
Branch by branch, we build the way
Trie algorithms here to stay