[Verse 1] Start with an array that's unsorted and wild Pick a pivot element, make it your guide Left pointer starts moving from the beginning side Right pointer comes backward, they're gonna collide When left finds a big one, it stops and it waits When right finds a small one, it seals both their fates Swap them around, keep the process alive Partition's the engine that makes quicksort thrive [Chorus] Pivot point, divide and conquer the data Left goes small, right goes larger Partition logic, split it clean Most efficient sorting machine Pivot point, divide and conquer the data Left goes small, right goes larger When the pointers finally meet Recursion makes the sort complete [Verse 2] Choose your pivot wisely, it sets the whole tone Random selection keeps worst case unknown Median of three is a solid approach First, middle, last - let statistics coach Place that pivot where it naturally belongs Everything smaller sings the left side song Everything bigger joins the right side crew Now you got two halves to partition through [Chorus] Pivot point, divide and conquer the data Left goes small, right goes larger Partition logic, split it clean Most efficient sorting machine Pivot point, divide and conquer the data Left goes small, right goes larger When the pointers finally meet Recursion makes the sort complete [Bridge] Base case stops when size is one or zero That's when you know you've reached sorting hero Average case runs in n log n time Worst case quadratic but that's rare to find In-place algorithm, memory efficient Divide and conquer makes it so proficient [Verse 3] Lomuto scheme keeps it simple and clean Index tracks the partition, you know what I mean Hoare's method faster with two-pointer dance Both achieve the goal, just different stance Stability's lost but speed's what we gain Cache-friendly access reduces the strain Master this logic and you'll understand Why quicksort's the king of the algorithm land [Chorus] Pivot point, divide and conquer the data Left goes small, right goes larger Partition logic, split it clean Most efficient sorting machine Pivot point, divide and conquer the data Left goes small, right goes larger When the pointers finally meet Recursion makes the sort complete [Outro] Partition's the heart, recursion's the soul Together they make the data controlled From chaos to order, that's quicksort's role Partition logic achieves the goal
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