Solution: Sqrt(x)
Explore how to compute the integer square root of a non-negative number using modified binary search. This lesson teaches you to efficiently narrow down the search space, handle edge cases, and implement a solution that runs in logarithmic time and constant space. You'll understand the step-by-step logic and reasoning behind this approach, essential for solving similar algorithmic challenges in coding interviews.
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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