**Time limit:**1.00 s**Memory limit:**512 MB

What is the expected maximum number of candies a child gets?

**Input**

The only input line contains two integers $n$ and $k$.

**Output**

Print the expected number rounded to six decimal places.

**Constraints**

- $1 \le n \le 100$

- $1 \le k \le 100$

**Example**

Input:

`2 3`

Output:

`2.444444`