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1489. Points on a Parallelepiped

Time limit: 1.0 second
Memory limit: 64 MB
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 (x1y1) and (x2y2). Can you find the distance between these points after the parallelepiped is assembled?

Input

The first line contains integers ABC (1 ≤ ABC ≤ 1000). In the second line there are the coordinates of the first point (x1y1), and in the third line there are the coordinates of the second point (x2y2). The numbers x1, x2, y1, y2 are given with two fractional digits. The points (x1y1) and (x2y2) are different and belong to the surface map.

Output

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

Sample

inputoutput
```2 2 2
3.00 3.00
5.00 5.00```
`1.4142135623730950`
Problem Author: Vladislav Isenbaev, Alexander Toropov
Problem Source: XIII-th USU Junior Contest, October 2006