Consider relation R(A,B,C,D,E), a set of functional dependencies FD = {AC -> B, BC -> D, AD -> E} and a decomposition of R into relations R1(A,C,D), R2(A,B,C) and R3(B,D,E). Is the given decomposition lossless (in the sense discussed in class)? Justify your answer.Consider relation R(A,B,C,D,E), a set of functional dependencies FD = {AC -> B, BC -> D, AD -> E} and a decomposition of R into relations R1(A,C,D), R2(A,B,C) and R3(B,D,E). Is the given decomposition lossless (in the sense discussed in class)? Justify your answer.