Three blocks A, B and C each of mass m are placed on a smooth horizontal table. There is no friction

Three blocks A, B and C each of mass m are placed on a smooth horizontal table. There is no friction between the contact surfaces of the blocks as well. Horizontal force F is applied on each of A and B as shown. Find the ratio of normal force applied by the table on the three blocks (i.e., `R_(A) : R_(B) : R_(C)`). Take `F = (mg)/(2sqrt3)`