Given the following dialog in the Python shell:

$>>>$ a $=$ Legacy$(77)$

$>>>$ b $=$ Legacy$(99)$

$>>>$ c $=$ Legacy$(1)$

$>>>$ c$.$progenitors

$[77,99]$

$>>>$ a$.$progenitors

$[]$

$>>>$ b$.$progenitors

$[77]$

Which of the following class definitions could explain what is observed?

Group of answer choices

class Legacy$($object$)$:

prior $=[]$

def $\_\_$init$\_\_($self$,$ n$)$:

self.n $=$ n

self.progenitors $=$ Legacy.prior$[$:$]$

Legacy.prior.append$($n$)$

class Legacy$($object$)$:

prior $=[]$

def $\_\_$init$\_\_($self$,$ n$)$:

self.n $=$ n

self.progenitors $=$ prior

Legacy.prior.append$($n$)$

class Legacy$($object$)$:

prior $=[]$

def $\_\_$init$\_\_($self$,$ n$)$:

self.n $=$ n

self.progenitors $=$ self.prior

Legacy.prior.append$($n$)$

class Legacy$($object$)$:

prior $=[]$

def $\_\_$init$\_\_($self$,$ n$)$:

self.n $=$ n

self.progenitors $=$ Legacy.prior

Legacy.prior.append$($n$)$