Consider relation R(A, B, C, D, E, F) and the following set of functional dependencies: FD = { CE -> B, F-> A, EA -> F, B -> DE}. Give the attributes that would be in R1 and R2 if you decomposed R into relations R1 and R2 based on the functional dependency CE à B, using the BCNF decomposition algorithm discussed in class. Also provide the sets of functional dependencies obtained by projecting FD on R1 and R2, respectively.