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Challenge: Find the Floor and Ceiling of a Number

Explore how to identify the floor and ceiling values of a given number within a sorted integer array using divide and conquer strategies. This lesson guides you through defining these mathematical functions and applying algorithmic thinking to solve the problem efficiently. By the end, you'll be able to implement a step-by-step approach for coding challenges involving floor and ceiling computations.

Floor functions

A floor function takes a real number xx and returns the greatest Integer less than or equal to x.x.

For Example,

floor(x)=xfloor(x) = \lfloor x \rfloor

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