F - Regular Triangle Inside a Rectangle /

### 制約

• 1 \leq A,B \leq 1000
• A,B は整数

### 入力

A B


### 出力

なお、真の値との絶対誤差または相対誤差が 10^{-9} 以下であれば正解として扱われる。

### 入力例 1

1 1


### 出力例 1

1.03527618041008295791


なお、この出力例の値は \sqrt{6}- \sqrt{2} と厳密には一致しませんが、誤差が 10^{-9} 以下なので正解として扱われます。

Score : 500 points

### 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

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.