[Verse 1]
Digits dancing left to right, decimal places hold the key
No comparisons tonight, just counting what we see
Stable sorting guaranteed, non-comparison based
Buckets lined up perfectly, integers embraced
Start from rightmost column first, least significant begins
Distribute every element, let the placement wins
[Chorus]
Radix sort, digit by digit we climb
Stable buckets keep the order in line
Linear time when digits are bound
Counting sort underneath, solid ground
Radix sort, base ten or base two
MSD, LSD, pick your view
[Verse 2]
Least significant digit first, rightmost place to start
Counting sort becomes our tool, each digit plays its part
Zeros through nines get their slots, distribution phase complete
Collect them back in sequence, stable pattern neat
Repeat for every digit place, tens then hundreds high
Until the leftmost digit's done, sorted numbers lie
[Chorus]
Radix sort, digit by digit we climb
Stable buckets keep the order in line
Linear time when digits are bound
Counting sort underneath, solid ground
Radix sort, base ten or base two
MSD, LSD, pick your view
[Bridge]
Most significant variation, leftmost digits lead the way
Recursive subdivisions, prefixes hold sway
Choose your radix wisely, binary splits or decimal doors
Memory trade-offs lurking, space complexity soars
[Verse 3]
When integers are bounded, complexity stays lean
K times n operations, most efficient scene
No comparison overhead, just arithmetic and moves
Bucket sort's foundation, counting sort's smooth grooves
Fixed-width representation, padding zeros align
Radix conquers massive sets, performance so divine
[Outro]
From least to most significant
Stable digits never lie
Linear sorting triumph
Watch those integers fly