For certain real numbers $a, b$, and $c$, the polynomial $$ g(x)=x^{3}+a x^{2}+x+10 $$ has three distinct roots, and each root of $g(x)$ is also a root of the polynomial $$ f(x)=x^{4}+x^{3}+b x^{2}+100 x+c . $$ What is $f(1)$? 
选项为:A:$$-9009$$  B:$$-8008$$  C:$$-7007$$  D:$$-6006$$  E:$$-5005$$  请回答其中一个选项.