LeetCode-in-Go

69. Sqrt(x)

Easy

Given a non-negative integer x, compute and return the square root of x.

Since the return type is an integer, the decimal digits are truncated, and only the integer part of the result is returned.

Note: You are not allowed to use any built-in exponent function or operator, such as pow(x, 0.5) or x ** 0.5.

Example 1:

Input: x = 4

Output: 2

Example 2:

Input: x = 8

Output: 2

Explanation: The square root of 8 is 2.82842…, and since the decimal part is truncated, 2 is returned.

Constraints:

Solution

func mySqrt(x int) int {
	if x < 2 { // Handles x==0 and x==1 correctly
		return x
	}
	start := 1
	end := x / 2
	var sqrt int
	for start <= end {
		sqrt = start + (end-start)/2
		if sqrt == x/sqrt {
			return sqrt
		} else if sqrt > x/sqrt {
			end = sqrt - 1
		} else {
			start = sqrt + 1
		}
	}
	// sqrt will still contain the last value tried
	if sqrt > x/sqrt {
		return sqrt - 1
	}
	return sqrt
}