Distance from the point

Input

First line contains two integers - the coordinates of point $C$. Next two lines in the same format contains points $A$ and $B$ (A \neq B). All input integers are not greater than $10000$.

Output

In the first line print one real number - the distance from point $C$ to the line. In the next two lines print the distance from the ray $AB$ ($A$ is the ray starting point) and from the segment $AB$. Print all numbers with accuracy not less than 10^{-6}. The ray is directed from point $A$ to point $B$.

Examples