Given a Boolean function F$($a$,$ b$,$ cd$)=$ P$(1,2,4,7,8,11,13,14).$ Can it be decomposed as f$($ g$($a$,$ b$),$ c$,$ d$)?$ If so$,$ identify the corresponding functions g$($a$,$ b$)$ and f$($g$,$ c$,$ d$).$ If such a decomposition is not possible, give an explanation