Pulleys+Impusle+Acceleartion!

Two blocks AA and BB of same mass MM are connected with each other with an ideal string of length 2l2l passing over an ideal pulley. The block AA is connected to a light pan CC with an ideal string as shown in figure. A particle of mass M2\frac{M}{2} is dropped on pan from height l2\frac{l}{2} as shown. If collision between particle and pan is plastic, acceleration of BB just after the collision is?

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