Problem : Minimum Distance
Two riders A and B are travelling on a highway towards each other on two roads that intersect at right angle at speeds VAmeters/second and VB meters/second. A is at a distance of 'x' meters and B is at a distance of 'y' meters from the intersection. Calculate the minimum distance between these two riders that is possible.
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Fig:Approaching Intersection
Fig:Approaching Intersection
Input Format:
First line contains the distance of Rider A from intersection denoted by x
Second line contains the distance of Rider B from intersection denoted by y
Third line contains the Velocity of Rider A denoted by VA
Fourth line contains the Velocity of Rider B denoted by VB
First line contains the distance of Rider A from intersection denoted by x
Second line contains the distance of Rider B from intersection denoted by y
Third line contains the Velocity of Rider A denoted by VA
Fourth line contains the Velocity of Rider B denoted by VB
Output Format:
Print the minimum distance between these two riders, if minimum distance is non-zero. If minimum distance is zero, print it as 0.0
Print the minimum distance between these two riders, if minimum distance is non-zero. If minimum distance is zero, print it as 0.0
Constraints:
x > 0
y > 0
VA > 0
VB > 0
Calculation and printing of output should be done upto 11-precision
Sample Input and Output
| SNo. | Input | Output |
|---|---|---|
| 1 | 100 100 10 10 | 0.0 |
| 2 | 500 300 20 14 | 41.18252056395 |
| 3 | 100 100 30 40 | 22.36067977500 |
| 5 | 0 50 -20 30 | Invalid Input |
Note:
Please do not use package and namespace in your code. For object oriented languages your code should be written in one class.
Please do not use package and namespace in your code. For object oriented languages your code should be written in one class.
Note:
Participants submitting solutions in C language should not use functions from / as these files do not exist in gcc
Participants submitting solutions in C language should not use functions from
Note:
For C and C++, return type of main() function should be int.
For C and C++, return type of main() function should be int.