69. Sqrt(x)

Implement int sqrt(int x).

Compute and return the square root of x, where x is guaranteed to be a non-negative integer.

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

计算并返回x的平方根,其中x保证为非负整数。

由于返回类型是整数,因此将截断十进制数字,并仅返回结果的整数部分。

Example 1:

Input: 4
Output: 2

Example 2:

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

python实践

#!/usr/bin/env python
# _*_ coding:utf-8 _*_

import math

class Solution(object):
    def mySqrt(self, x):
        """
        :type x: int
        :rtype: int
        """
        # 二分查找法的思想
        if x <= 1:
            print(x)
            return x
        # 1. 定义一个数字h,专门用来存放除以2的数
        left, right = 0, x
        while left <= right:
            h = (left + right) // 2
            # print(h)
            if x // h < h:
                right = h - 1
            elif x // h > h:
                left = h + 1
            elif x // h == h:
                print(h)
                return h
                break
        print(right)
        return right

if __name__ == '__main__':
    Solution().mySqrt(x=17)

    # print(math.floor(0 + (8 - 0) / 2))
    # print(8//1)

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