On a smooth horizontal surface at some distance from a vertical wall there is a ball of mass M. Another ball, of mass m, slides with a certain speed in the direction from the wall to the first ball. A central elastic impact occurs between the balls (during an elastic impact, the total kinetic energy is conserved). At what ratio of masses M and m will the second ball, after the impact, reach the wall and, elastically reflected from it, catch up with the first ball?
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