Pegs / Marble Solitaire 3D

this game has very simple rules. Pegs are allowed to jump over adjacent (vertically or horizontally) pegs. The peg that has been jumped over is removed. So jumps are like captures in Checkers.
The goal of a regular game is to reverse a starting configuration: Positions with pegs must become empty while empty positions should be filled with pegs by the end of the game. At the beginning, you are presented with the standard configuration where just one peg - the central one - is missing. Therefore, the goal for this configuration is to end up with a single peg in the middle of the board.