Petya wants to make a paper parallelepiped with dimensions A × B × C. He has already produced a surface map of the parallelepiped (see figure):

On this surface map Petya has marked two points with coordinates (x₁, y₁) and (x₂, y₂). Can you find the distance between these points after the parallelepiped is assembled?

The first line contains integers A, B, C (1 ≤ A, B, C ≤ 1000). In the second line there are the coordinates of the first point (x₁, y₁), and in the third line there are the coordinates of the second point (x₂, y₂). The numbers x₁, x₂, y₁, y₂ are given with two fractional digits. The points (x₁, y₁) and (x₂, y₂) are different and belong to the surface map.

Output the distance between the marked points after the parallelepiped is assembled, with accuracy to 10⁻⁶.