R $=$Team$,$ Opponent, Day, Player, Number, Positiong$$ with the following set of FDs: $(1)$Team$,$ Day$--$ Opponent, $(2)$Opponent$,$ Day$--$ Team $($each team plays at most one game in a day$).(3)$Team$,$ Player$--$ Number $($a player has one number in the team $).(4)$Team$,$ Day, Number$--$ Player $(5)$Day$,$ Team, Opponent, Player$--$ Position $($each player that for a game is assigned one position in that game$).$ Answer$1.$What are the candidate keys of R$?2$ Find a minimal cover of Sigma $.3$ Demonstrate whether R given Sigma $,$ satisfies $3$NF$,$ and if not, identify a $3$NF decomposition for lineup.