[Verse 1]
Rolling polynomials, prime numbers my foundation
Hash the pattern first, that's my calculation
Preprocessing saves me time when I search the text
Rolling hash mechanism, efficiency comes next
Take your needle string, convert to numeric gold
Polynomial rolling hash, watch the magic unfold
Base and modulo, keep the numbers clean
Fastest string matching algorithm you've ever seen
[Chorus]
Rabin-Karp, roll the hash, slide the window fast
Hash collision? Check each char, verification passed
Rolling, rolling, keep the sum, polynomial the way
Linear time complexity when luck comes out to play
Hash it, roll it, slide and check
Pattern matching, show respect
[Verse 2]
Window slides across the haystack, character by character
Remove the leftmost, add the right, mathematics similar
Hash values match? Don't celebrate too early now
False positive collision means you gotta check somehow
Compare each symbol, verification phase begins
Spurious hits eliminated, true match always wins
Monte Carlo randomized or Las Vegas guarantee
Choose your poison, both deliver algorithmic spree
[Chorus]
Rabin-Karp, roll the hash, slide the window fast
Hash collision? Check each char, verification passed
Rolling, rolling, keep the sum, polynomial the way
Linear time complexity when luck comes out to play
Hash it, roll it, slide and check
Pattern matching, show respect
[Bridge]
Worst case quadratic, when collisions multiply
Expected linear runtime, probability don't lie
Multiple pattern search, this algorithm shines
Concurrent hash tables, parallel design
Fingerprinting technique, cryptographic style
Rolling hash mechanics, efficient by a mile
[Outro]
From Rabin and Karp, nineteen eighty-seven drop
String search revolution, polynomial hash hop
When KMP seems complex, when Boyer-Moore's too much
Rabin-Karp delivers with that probabilistic touch