Consider the following code segment.

boolean a $=$ true;

boolean b $=$ true;

System.out.print$(($b $||(!$a $||$ b$))+"")$;

System.out.print$(((!$b $||!$a$)$ && a$)+"")$;

System.out.println$(!($a && b$)$ && b$)$;

What output is produced when this code segment is executed?

$($A$)$ true true true

$($B$)$ true false true

$($C$)$ true false false $)$

$($D$)$ false true false

$($E$)$ false false false