某運算◇對所有的非零實數$$a$$、$$b$$、$$c$$滿足：$$a$$◇$$(b$$ ◇$$c)=(a$$◇$$b)\cdot c$$(此處 $$\cdot$$ 是一般的乘號)，且 $$a$$◇$$a=1$$ ．若方程式$$2016$$◇$$(6$$◇$$x)=100$$ 的解爲$$\frac pq$$,其中$$p$$、$$q$$爲互質的正整數，則 $$p+q$$之値爲何？  A binary operation ◇ has the properties that $$a$$◇$$(b$$ ◇$$c)=(a$$◇$$b)\cdot c$$ and that $$a$$◇$$a=1$$ for all nonzero real numbers $$a$$, $$b$$, and $$c$$. (Here represents multiplication). The solution to the equation $$2016$$◇$$(6$$◇$$x)=100$$ can be written as $$\frac pq$$, where $$p$$ and $$q$$ are relatively prime positive integers. What is $$p+q$$?+q?
选项为:A:$$109$$  B:$$201$$  C:$$301$$  D:$$3049$$  E:33,601  请回答其中一个选项.