71 students in a school play atleast one of Golf, Volleyball and Cricket. 40 students play Golf, 30 students play Cricket and 30 students play Volleyball. 15 students play both Golf and Cricket, and 14 students play both Cricket and Volleyball. The number of players who play Golf and Volleyball is the same as the number of players playing all three games. What is the maximum number of players playing all three games?
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