Consider the following function which attempts to append a new value to the end of a given list.

struct node $*$append$($struct node $*$list$,$ int value$)\{$

if $($list $==$ NULL$)\{$

return create$\_$node$($value$)$;

$\}$ else $\{$

append$($list$->$next, value$)$;

return list;

$\}$

$\}$

It is called as follows:

list $=$ append$($list$,$ val$)$;

For which of the following input lists would the function not work correctly? Please select all options that apply.

Note: You can assume that create$\_$node correctly returns a pointer to a new node that contains the given value and whose next field points to NULL.

$($a$)$

NULL

$($b$)$

$[1]->$ NULL

$($c$)$

$[7]->[3]->$ NULL

$($d$)$

$[8]->[2]->[6]->$ NULL

$($e$)$

$[0]->[9]->[5]->[4]->$ NULL