OpenGL shader based program

Hi, I want to have an OpenGL program (can be done by C++ or Java ) that reproduces the attached image by sending nine random points and 8 lines to the shader. (We don't want to render the small white spheres) Please see the attached image before you continue reading! The requirements as following: 1) By clicking a render button, we send generate nine random points and 8 lines(the lines use the same vertices, i.e each tow points are connected to each other to construct a line) 2) The vertices are sent to the vertex shader. 3)In the shader, from the nine points, we reproduce the spheres and the connection between them ( we might use more than one shader program one for the spheres and one for the stick) 4)The camera position must be changeable ( i.e the user can choose the position) 5)We must apply rotation, transformation, and zoom functionality. 6)The lighting position must be changeable ( i.e the user can choose the position) 7)VERY IMPORTANT: The code must be written in pure C++, Java or C#. Use only OpenGL API + Shader language. I.e no third party or library is allowed to produce the image or perform the camera rule. The KEY POINT is that ALL the work MUST be done in the shader. Clearly saying we send only the vertices and everything is done in the shader. Usually, raycasting is used for this purposes. I expect to get the work done in one week or so. Thank you in advance