Regular Triangle Inside a Rectangle

AtCoder

IDabc292_f

Time2000ms

Memory256MB

Difficulty—

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: $A$ $B$ [samples]

Samples

Input #1

1 1

Output #1

1.03527618041008295791

The following figure shows an optimal drawing, with the side length of $\sqrt{6} - \sqrt{2}$.
![image](https://img.atcoder.jp/abc292/2cd44ddc3d8241e510a356be9533631f.png)
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.

API Response (JSON)

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    "name": "Regular Triangle Inside a Rectangle",
    "description": {
      "content": "Find the maximum side length of a regular triangle that can be drawn within a rectangle whose side lengths are $A$ and $B$.",
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  "statements": [
    {
      "statement_type": "Markdown",
      "content": "Find the maximum side length of a regular triangle that can be drawn within a rectangle whose side lengths are $A$ and $B$.\n\n## Constraints\n\n*   $1 \\leq A,B \\leq 1000$\n*   $A$ and $B$ are integers.\n\n#...",
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