69. Sqrt(x)

69. Sqrt(x)

Given a non-negative integer x, return the square root of x rounded down to the nearest integer. The returned integer should be non-negative as well.

You must not use any built-in exponent function or operator.

 

  • For example, do not use pow(x, 0.5) in c++ or x ** 0.5 in python.

Example 1:

 

Input: x = 4
Output: 2
Explanation: The square root of 4 is 2, so we return 2.

Example 2:

 

Input: x = 8
Output: 2
Explanation: The square root of 8 is 2.82842..., and since we round it down to the nearest integer, 2 is returned.
class Solution:
    def mySqrt(self, x: int) -> int:
        left = 0
        right = x

 

        while left <= right:
            middle =  left+(right – left) //2
            print(middle)
            if middle * middle == x:
                return middle
            elif x > middle * middle:
                left = middle +1
            else:
                right = middle -1
            print(“————“)
        return left – 1
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