[Verse 1]
Starting at the root, we begin our quest
Queue it up first, that's how we progress
Level by level, spreading out wide
Before going deep, we explore each side
Mark it as visited, don't come back twice
FIFO ordering keeps our search precise
Neighbors get added to the waiting line
Breadth before depth, that's the grand design
[Chorus]
BFS, queue it up, level by level we go
First in first out, that's the flow we know
Shortest path finder, layer by layer we grow
BFS, guarantee, minimum hops in a row
Queue it up, spread it out, that's how the search will show
Level by level, breadth first, here we go
[Verse 2]
Graph or tree structure, doesn't matter which
Adjacent nodes waiting, ready to switch
Enqueue the children, dequeue the parent
Systematic searching, path lengths apparent
No recursion needed, just iteration clean
Queue holds our frontier, visited nodes are seen
When target is found, we know for sure
The path that we took is optimal and pure
[Chorus]
BFS, queue it up, level by level we go
First in first out, that's the flow we know
Shortest path finder, layer by layer we grow
BFS, guarantee, minimum hops in a row
Queue it up, spread it out, that's how the search will show
Level by level, breadth first, here we go
[Bridge]
While the queue ain't empty, keep the process alive
Pop from the front, let the algorithm thrive
Check if it's the goal, if not add more nodes
Unweighted graphs, BFS always knows
The shortest distance, minimum edge count
Layer exploration, that's the amount
[Verse 3]
Time complexity running at V plus E
Space complexity queue size, worst case V
Complete and optimal when weights are the same
Breadth first searching earned its fame
From web crawlers to social networks wide
Six degrees separation, BFS as guide
Remember the pattern, queue-based exploration
Level order traversal across the nation
[Chorus]
BFS, queue it up, level by level we go
First in first out, that's the flow we know
Shortest path finder, layer by layer we grow
BFS, guarantee, minimum hops in a row
Queue it up, spread it out, that's how the search will show
Level by level, breadth first, here we go
[Outro]
Queue it up, spread it wide
Breadth first search, your pathfinding guide
Level by level, that's the BFS way
Shortest paths found, every single day