$2\mathrm{.}2)(40$ points$)$ Convert the following relation into $3$ NF$.$ First, argue its current normal form. Then convert it to each successive normal form until you reach $3$ NF $.$ You do not need to redraw the relation$($s$)$ as you progress, but you can if you would like. You must, however, provide the relational model for all new relations created during the normalization process.

ENCOUNTERS

$\backslash$table$[[$Encounter id$,$Admit$\_$date,Discharge$\_$Date,Intervention id$,$Domain,Class,Intervention,Date,Provider$\_$ID$,$Provider$\_$Name$],[1024,2013-09-15,2013-09-16,123,5,$W$,6700,2013-09-15,32154,$Smith, John$],[125,4,$W$,3840,2013-09-15,32154,$Smith, John$],[257,5,$Z$,7150,2013-09-16,32154,$Smith, John$],[1254,2013-09-16,2013-09-18,123,5,$W$,6700,2013-09-16,65214,$Jackson, Sam$],[254,4,$Z$,6700,2013-09-17,65214,$Jackson, Sam$],[2543,2013-09-16,2013-09-16,985,4,$Z$,5612,2013-09-16,65214,$Jackson, Sam$]]$