Given the following Prolog program:

$c(5).$

$c(9).$

$c(10).$

$d(5).$

$d(9).$

$a(x)$:$-c(x),d(x).$

$b(x)$:$-c(x),!,d(x).($a$)$ List all the answers that Prolog would respond with for the query a$($Z$).$ Explain why those answers are generated.$($b$)$ List all the answers that Prolog would respond with for the query b$($Z$).$ Explain why those answers are generated.