$(8$ points$)$ Take the following schema and instance into consideration.

Suppliers$($sid$,$ sname, city$)$

Parts$($pid$,$ pname, color$)$

Catalog$($sid$,$ pid, cost$)$

$\backslash$table$[[\backslash$table$[[$Suppliers$],[$sid sname city$]],\backslash$table$[[$Parts$],[$pid pname$]],$color$],[$S$1$ Smith Shanghai,P$1$ Nut,Red$],[$S$2$ Jones Paris,P$2$ Bolt,Green$],[$S$3$ Blake Paris,P$3$ Screw,Blue$],[$S$4$ Clark Shanghai,P$4$ Screw,Red$],[$S$5$ Adams Athens,P$5$ Cam,Blue$],[$P$6$ Cog,Red$]]$

$\backslash$table$[[\backslash$table$[[$Catalog$],[$sid$]],$pid,cost$],[------------------,,],[$S$1,$P$1,300],[$S$1,$P$2,200],[$S$1,$P$3,400],[$S$1,$P$4,200],[$S$1,$P$5,100],[$S$1,$P$6,100],[$S$2,$P$1,300],[$S$2,$P$2,400],[$S$3,$P$2,200],[$S$4,$P$2,200],[$S$4,$P$4,300],[$S$4,$P$5,400]]$

State what the following queries compute. Show all intermediary tables that lead to the relational outcome based on the query.

a$)$ Parts $($:$\}$ Suppliers