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Challenge: Find the Floor and Ceil of a Number in a Sorted Array

Explore how to implement functions to find the floor and ceiling of a given integer within a sorted array using binary search. Understand floor and ceiling definitions, design a clear algorithm, and apply divide-and-conquer strategies to solve these common coding interview problems effectively.

Floor functions

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

For example:

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