RedBox game objective is to get the right order by repeating to move 2 neighbouring boxes to the space.
This game is known as the problem of Chinese chests or the China box issue. Several boxes of two colors stand in a line. There is an additional empty space for two boxes either at the left or at the right side of the boxes or somewhere between the boxes. The aim of the game is to get the boxes in the right order, that means to move the red boxes to the left side and the blue boxes to the right side. You should do this with a minimum number of moves. You can always move two neighbouring boxes to the empty space, the order of that two boxes will be kept. The game is more difficult with boxes of a third color. Now you have to arrange the red boxes to the left side, the blue boxes to the right side and the violet boxes to the middle. The position of the empty space at the end of the game doesn't matter.
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