102925: [Atcoder]ABC292 F - Regular Triangle Inside a Rectangle

Problem Statement

Find the maximum side length of a regular triangle that can be drawn within a rectangle whose side lengths are $A$ and $B$.

Constraints

• $1 \leq A,B \leq 1000$
• $A$ and $B$ are integers.

Input

The input is given from Standard Input in the following format:

$A$ $B$

Output

Print the answer.
Your output is considered correct if the absolute or relative error from the true answer is at most $10^{-9}$.

Sample Input 1

1 1

Sample Output 1

1.03527618041008295791

The following figure shows an optimal drawing, with the side length of $\sqrt{6} - \sqrt{2}$.

Note that the sample output does not strictly match $\sqrt{6}- \sqrt{2}$, but the error is within $10^{-9}$, so it is considered correct.

问题描述

在一个边长为$A$和$B$的矩形内，找出能够画出的正三角形的最大边长。

限制条件

• $1 \leq A,B \leq 1000$
• $A$和$B$都是整数。

输入

输入从标准输入按以下格式给出：

$A$ $B$

输出

打印答案。
如果与真实答案的绝对或相对误差不超过$10^{-9}$，则认为您的输出是正确的。

样例输入 1

1 1

样例输出 1

1.03527618041008295791

下图显示了一个最优的绘制方案，其边长为$\sqrt{6} - \sqrt{2}$。

注意，样例输出并不严格等于$\sqrt{6}- \sqrt{2}$，但是误差不超过$10^{-9}$，因此被认为是正确的。