Consider the Scala definitions:

class A $\{$

def f$($n: Int$)$: Int $=$ if $($n $<=1)1$ else n $*$ f$($n $-1)$

$\}$

class B extends A $\{$

override def f$($n: Int$)$: Int $=\{$ println$($n$)$; super.f$($n$)\}$

$\}$

val b: B $=$ new B$()$

println$($b$.$f$(3))$

What happens when this program is compiled and executed?

Options:

The program fails to compile because the recursive invocation of f inside the definition of method f in class A cannot refer to the other class's f method.

The program compiles and runs successfully and prints $3,2,1,6$ on separate lines.

The program compiles and runs successfully and prints $6.$

The program compiles and runs successfully and prints $3,6$ on separate lines.

The program compiles, but fails at runtime when making a recursive call to f$.$