This is the solution for the Hyper-jumping Plasma-checkers quest in Space Rangers 2. It's a small devilish mini-game, consisting of 3 white and 3 black checkers in a line of 7 squares. The object is to move the white checkers to where the black ones are, and the black checkers to where the white ones are, and all of that in 15 moves.
There is no straight forward solution to this quest, as the judges you get are random. I do however have a few tips and pointers for you to get you on the right track.