Solution: Sqrt(x)
Explore how to compute the integer square root of a non-negative integer using modified binary search. This lesson teaches you to efficiently find the floor value of the square root without relying on built-in exponent functions, handling edge cases and using binary search to reduce time complexity to logarithmic. You will understand how to apply this pattern to similar search problems and improve algorithmic problem-solving skills.
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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