nalyze the following code.

Program $1$:

public class Test $\{$

public static void main$($String$[]$ args$)\{$

Object a$1=$ new A$()$;

Object a$2=$ new A$()$;

System.out.println$($a$1.$equals$($a$2))$;

$\}$

$\}$

class A $\{$

int x;

public boolean equals$($Object a$)\{$

return this.x $==(($A$)$a$).$x;

$\}$

$\}$

Program $2$:

public class Test $\{$

public static void main$($String$[]$ args$)\{$

Object a$1=$ new A$()$;

Object a$2=$ new A$()$;

System.out.println$($a$1.$equals$($a$2))$;

$\}$

$\}$

class A $\{$

int x;

public boolean equals$($A a$)\{$

return this.x $==$ a$.$x;

$\}$

$\}$

Program $1$ displays false and Program $2$ displays false

Program $1$ displays true and Program $2$ displays false

Program $1$ displays false and Program $2$ displays true

Program $1$ displays true and Program $2$ displays true