Produce a 3NF decomposition of this schema listing both the relations and the corresponding set of functional dependencies. Make sure to identify the minimal basis on which you based your 3NF decomposition and discuss whether you need to add an additional relation. Show the full details of your work.

Consider the following database schema: R(A,B,C,D,E,F,G,H) with the set of functional dependencies {FA,ACE,EB,BGF,BED,BDHE,DH,CDA,AE,ADBE}