Suzie flips a fair coin $6$ times. The probability that Suzie flips $3$ heads in a row but not $4$ heads in a row is given by $\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. $m+n=$~\uline{~~~~~~~~~~}~.  $\textasciitilde$ 
选项为:A:$$9$$  B:$$11$$  C:$$17$$  D:$$19$$  E:$$35$$  请回答其中一个选项.