Abalone puzzle

The board consists of 61 circular spaces arranged in a hexagon, five on a side. Each player has 14 marbles that rest in the spaces and are initially arranged as shown at left. Play alternates between the players one move at a time, with the black marbles moving first. For each move, a player moves a line of one, two or three one space. The move can be either in-line (parallel to the line of marbles) or broadside (not parallel to the line of marbles), as illustrated at right. A player can push their opponent′s marbles which are in an adjacent space to their own with an in-line move only. They can only push if the pushing line has more marbles than the pushed line (three can push two or one; two can push one). Marbles must be pushed into an open space (i.e. not blocked by a marble of either colour). The winner is the first player to gain six opposing marbles from the opponent.