In this question the alphabet is In this question the alphabet is $\backslash$Sigma $=\{0,1\}.$

S $=(0101)0.$

Let R $=(01+001)0$ and

$($a$)$ Give two examples of a string z that is both in R and in S $($that is$,$ z in R $\backslash$cap S$).$

$($b$)$ Give two examples of a string x that is in R and is not in S $($that is$,$ x in R $\backslash$cap S where S is the complement of S$).$

$($c$)$ Give two examples of a string y that is in S and is not in R $($that is$,$ y in R $\backslash$cap S$).$

In each case brie$$y explain $($using natural language$)$ why your example strings have the required property.