Analyze the following two programs:

A:

public class Test

public static void main $($String$(]$ args$)$ t

xliethod $(5)$ :

public static void Method $($int length$)$ & if $($length $>1)1$

System.out$-$print $(($length $-1)+*)$:

Method $($length $-1)$ :

B:

public class Test t

public static void main $($Stringl$]$ args$)$ I

Method $(5)$ :

public static void Method $($int length$)1$

while $($length $>1)1$

System. out$-$print $(($length $-1)+"")$;

$*$Method $($length $-1)$ :

$*$ a$.$ The two programs produce the same output $12345.$

$*$ b$.$ The two programs produce the same output $1234.$

c$.$ Program A produces the output $4321$ and Program B prints $432111....1$ infinitely.

d$.$ The two programs produce the same output $54321.$

e$.$ The two programs produce the same output $4321.$