[Verse 1]
Let me tell you bout the simplest sort around
Bubble sort's the name, watch the data get down
Start from the beginning, check each pair in line
If the left is bigger, then it's switching time
Move through the array, left to right we go
Heavy elements sink down, light ones rise up slow
Like bubbles in champagne, floating to the top
That's why we call it bubble, watch the small ones pop
[Chorus]
Bubble up, bubble down, compare and swap around
Big O of n squared, when efficiency's not found
But it's stable and in-place, adaptive to the core
Bubble sort's the first one that we learn to explore
Bubble up, bubble down, adjacent pairs we check
Simple nested loops, keep the algorithm in spec
[Verse 2]
Outer loop controls how many passes that we make
Inner loop compares each pair, decisions it will take
If array of n minus one is greater than the next
Swap those two positions, keep the sorting context
Each pass guarantees the largest finds its home
At the end of unsorted section, no more need to roam
Optimization trick: if no swaps in a pass
Array is sorted early, we can finish fast
[Chorus]
Bubble up, bubble down, compare and swap around
Big O of n squared, when efficiency's not found
But it's stable and in-place, adaptive to the core
Bubble sort's the first one that we learn to explore
Bubble up, bubble down, adjacent pairs we check
Simple nested loops, keep the algorithm in spec
[Bridge]
Best case linear time when the data's already neat
Worst case quadratic when reverse order we meet
Equal elements maintain their relative position
Stable sorting property, that's the definition
No extra memory needed, sorts right where it sits
In-place algorithm, that's one of its hits
[Verse 3]
Though it's not efficient for large datasets today
Educational value in a pedagogical way
Teaches basic concepts of comparison-based sorts
Shows how swapping works and algorithm reports
Simple to implement, easy to debug and trace
Watch each element slowly find its rightful place
From chaos comes order with each bubble rise
Fundamental sorting wisdom before your eyes
[Chorus]
Bubble up, bubble down, compare and swap around
Big O of n squared, when efficiency's not found
But it's stable and in-place, adaptive to the core
Bubble sort's the first one that we learn to explore
Bubble up, bubble down, adjacent pairs we check
Simple nested loops, keep the algorithm in spec
[Outro]
Remember bubble sort, though simple it may seem
Foundation for the complex sorting algorithms' dream
Bubble up to the top, let the knowledge flow
First step in the journey of the sorts you need to know