Let suppose a relation R$=($ A$,$B$,$C$,$D$,$ E$,$F$)$ with a set of functional dependencies F:$($A$-->$ BC$-->$ D$.$ EF$-->$A$.$ F$-->$E$)$ is given. Relationship R is decomposed into R$1$ TV$($ A$,$ B$,$ C$,$ D$)$ and R$2($ A$.$E$.$F$).$ Find out weather the decomposition lossless or not. and weather it is dependency is preserving or not $($ show why oy why not$)$