A ring $($mass $4$M$,$ radius $2$R$)$ rotates in a CCW$$direction with an initial angular speed $1$$.$ A disk $($mass $3$M$,$ radius $2$R$)$ rotates in the$$CCW$$direction with initial angular speed $2$ $.$ The ring and disk "collide" and eventually rotate together.

Assume that positive angular momentum and angular velocity values correspond to rotation in the CCW direction.

What is the initial angular momentum Li$$of the ring$+$disk system? Write your answer in terms of MR$2$$.$