Answer the following problems given the table and functional dependencies below. Do your scratchwork on the back of the previous page and write only your final answer below.Table: XYZ $($A$,$ B$,$ C$,$ D$,$ E$,$ F$,$ G$,$ H$,1,$ J$,$ K$,$ L$,$ M$)$ FD:D $->$ A$,$ B$,$ C$,$ D$,$ E$,$ F$,$ G$,$ H A $>$ BG $->$ E$,$ F$,$ HM $->$ J$,$ K$,$ L$,$ M L $>$KIdentify the key of XYZ$.$Show a valid BCN decomposition using the steps we developed in class. Significant points will be deducted for listing any relation that is not in BCNF$.$