Let S $=\{$s$,$u$,$x$\}$ and T $=\{$v$,$w$,$y$,$z$,$t$\}$

$($a$)(5$ points$)$ What is f$($S$,$T$)?$

$($b$)(5$ points$)$ What is c$($S$,$ T $)?$

$($c$)(20$ points$)$ Find a minimum cut for G $($Hint: Add augmenting paths until no augmenting path can be found. Which edges are reachable from s in the Gf $?)$