### Problem Statement

You have survived a shipwreck and need to swim to the land. You can swim at a speed of at most V meters per second. The ocean's stream moves you with a constant speed of U meters per second.

Imagine a Cartesian system of coordinates in which you are at point (0,0), and the ocean's stream moves in the positive direction of the x-axis. You are given four integers x, y, V and U. Return a double representing the minimum time in seconds in which you can reach point (x, y). If this point can't be reached, return -1.

### Definition

 Class: Survived Method: minTime Parameters: int, int, int, int Returns: double Method signature: double minTime(int x, int y, int V, int U) (be sure your method is public)

### Notes

-Your return value must have an absolute or relative error less than 1e-9.

### Constraints

-x and y will be between -100 and 100, inclusive.
-U and V will be between 0 and 100, inclusive.

### Examples

0)

 `1` `-1` `1` `1`
`Returns: 1.0`
 If you swim directly down (in the negative direction of the y-axis) for one second, you will have gone forward one meter. By that time, the ocean's stream will have taken you one meter in the positive direction of the x-axis, leaving you at point (1, -1).
1)

 `1` `1` `1` `0`
`Returns: 1.4142135623730951`
2)

 `1` `1` `0` `1`
`Returns: -1.0`
3)

 `9` `3` `2` `3`
`Returns: 2.0593413823019864`
4)

 `0` `0` `0` `0`
`Returns: 0.0`
5)

 `5` `12` `24` `26`
`Returns: 1.3`

#### Problem url:

http://www.topcoder.com/stat?c=problem_statement&pm=6782

#### Problem stats url:

http://www.topcoder.com/tc?module=ProblemDetail&rd=10003&pm=6782

Pawa

#### Testers:

PabloGilberto , brett1479 , Olexiy , lovro

#### Problem categories:

Geometry, Simple Math