There are N points on a plane. Is it feasible to reproduce their relative location
having only the list of distances. Assuming that translation, rotation and mirror are allowed 
in the result. The list contains only distances between every pair of points, but not which points these are.

For a simple triangle like A=(0,0) B=(1,0) C=(1,1) the distance are:  
|AB| = 1  
|AC| = sqrt(2)  
|BC| = 1

The list would be: 1, 1, sqrt(2).