4. (10 points) R(A,B,C,D,E) and FD={BC->E}. Let R(A,B,C,D,E) be decomposed into two relations R1(A,B,C,D), R2(B,C,E). Determine whether the decomposition is lossless. Hint: Assume R was decomposed into two relations, say R1 and R2, if the common attributes between R1 and R2 determines R1 or R2, then this decomposition is lossless