Suppose $a, b$, and $c$ are nonzero real numbers, and $a+b+c=0$. What are the possible value(s) for $\frac{a}{\textbar a\textbar}+\frac{b}{\textbar b\textbar}+\frac{c}{\textbar c\textbar}+\frac{a b c}{\textbar a b c\textbar} ?$ (2017 AMC 8 Problem, Question \#21) 
选项为:A:$$0$$  B:$1$ and $-1$  C:$2$ and $-2$  D:$0,2$ and $-2$  E:$0,1$ and $-1$  请回答其中一个选项.