LeetCode之Sqrt(x)

1、题目

Implement int sqrt(int x).

Compute and return the square root of x.

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2、代码实现

public class Solution {
    public int mySqrt(int x) {
		if (x < 0)
			return -1;
		if (x == 0)
			return 0; 
		if (x == 1) 
			return 1;
		int max = x / 2 + 1;
		int min = 1;
		while (min <= max) {
			int mid = (min + max) / 2;
			if (mid <= x / mid && x / (mid + 1) < mid + 1)
				return mid;
			if (mid > x / mid) 
				max = mid - 1;
			else
				min = mid + 1;
		}
        return 0;
    }
}

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3、注意的地方

1）、第一要记得判断条件是 

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mid * mid <= x && (mid + 1) * (mid + 1) >x 

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2）、第二要防止数据超过整形数据范围，所以需要把条件转化为 

mid <= x / mid && x / (mid + 1) < mid + 1

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3）、逻辑要清晰，先求max,min, next we will get mid, and condition is mid * mid <= x && (mid + 1) * (mid + 1) > x, and by condition ,do not remember max = mid -1, min = mid +1 or max = mid, min = mid;