"Arrows" Game

Your main task in this wonderful game Arrows is to move two sets of colored arrows in such a way as to swap their places. This is a real fun game for people with mathematical skills. At the very beginning of the game you'll be given a rectangle with 8 arrow tiles - 4 purple ones on the left and 4 yellow ones on the right. In addition, there will be an empty space between these sections. To swap the arrows, you have to click on a tile and it will move to an empty space. This place is placed in the direction of the arrow or jump over a tile of the opposite color and make the transition to the empty space. After moving forward, the arrows can no longer go back.

Solve Lucas' problem in a swift manner!