Time Limit: 1 second

Memory Limit: 256 megabytes

## Description

There is a polyline going through points (0, 0) – (x, x) – (2x, 0) – (3x, x) – (4x, 0) – ... - (2kx, 0) – (2kx + x, x) – ....

We know that the polyline passes through the point (a, b). Find minimum positive value x such that it is true or determine that there is no such x.

## Input

Only one line containing two positive integers a and b (1 ≤ a, b ≤ 109).

## Output

Output the only line containing the answer. Your answer will be considered correct if its relative or absolute error doesn't exceed 10 - 9. If there is no such x then output  - 1 as the answer.

## Sample Input

Input3 1Output1.000000000000Input1 3Output-1Input4 1Output1.250000000000

## Sample Output

None

## Hint

You can see following graphs for sample 1 and sample 3.

None