Solution: Sqrt(x)
Understand how to implement a modified binary search to find the floor of the square root of any non-negative integer without relying on built-in exponent functions. This lesson guides you through edge case handling, algorithm steps, and complexity analysis to optimize this common problem.
We'll cover the following...
We'll cover the following...
Statement
Given a non-negative integer x, compute and return the square root of x rounded down to the nearest integer. The result must also be non-negative.
Built-in exponent functions or operators (e.g., pow(x, 0.5) in C++ or x ** 0.5 in Python) are not permitted.
Constraints:
x
Solution
The key insight is that the integer square root of x lies somewhere in the range