Consider the following logic program.

milk :$-$ cookies.

milk :$-$ cake, not juice.

cake :$-$ not cookies.

cookies :$-$ milk, not cake.

juice :$-$ not milk.

Compute the reduct of this program with respect to the set $\{$cookies$\}$ and then use the stable

models of the resulting program using the procedural characterization saw. The algorithm

starts with $x$ being the empty set. What of the following atoms is in $x$ at the end of the

second iteration of the while?

$\{$milk$\}$

$\{$milk$,$ cake$\}$

$\{$milk$,$ cookies$\}$

$\{$juice$\}$