[Verse 1] Maria's managing code that's growing wild Big O tells her how her runtime scales Linear search through a million files Takes a million steps before it fails But binary cuts the haystack clean in half Each guess eliminates a thousand paths Logarithmic time makes giants laugh At problems that once caused system crash [Chorus] Algorithms dance in measured time Space and speed in perfect rhyme Hash tables serve data instantly Trees branch out systematically Every function has its cost to pay Big O shows us complexity's way [Verse 2] Recursion calls itself like Russian dolls Each layer holds a smaller piece inside The function climbs then tumbles down the walls Stack frames building up then taking rides Fibonacci spawns a million clones Factorial multiplies and overflows Base cases catch what endless calling owns Without them infinite disaster grows [Chorus] Algorithms dance in measured time Space and speed in perfect rhyme Hash tables serve data instantly Trees branch out systematically Every function has its cost to pay Big O shows us complexity's way [Verse 3] Hash tables scatter keys like farmer's seed Each bucket holds what belongs in place Collision resolution plants the feed When two keys fight for the same space Binary trees split left and right Smaller values tumble to the left Larger climb toward the light B-trees keep databases deft [Bridge] Bubble sort swaps neighbors endlessly Quick sort picks a pivot, divides the crowd Merge sort splits then rebuilds methodically Each technique singing efficiency loud Searching sorted arrays cuts time in half Unsorted lists demand a linear staff [Outro] From constant time to exponential fear Choose wisely what your program holds dear Space complexity counts memory's bite Time complexity measures processing might Master these patterns, code with precision Big O guides every algorithmic decision
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