Consider the following code segment. The code is intended to read nonnegative numbers and compute their product until a negative number is read; however, it does not work as intended. $($Assume that the readInt method correctly reads the next number from the input stream.$)$

int $k=0$;

int prod $=1$;

while $)(0$

$\{$

System.out.print $("$enter a number: $")$;

$k=$ readint $()$; $//$ readInt reads the next number from input

prod $=$ prod $*k$;

$\}$

System.out.println$("$product: $"+$ prod$)$ ;

Which of the following best describes the error in the program?

$($A$)$ The variable prod is incorrectly initialized.

$($B$)$ The while condition always evaluates to false.

$($C$)$ The while condition always evaluates to true.

$($D$)$ The negative number entered to signal no more input is included in the product.

$($E$)$ If the user enters a zero, the computation of the product will be terminated prematurely.