HMMT November 2017 U34

The skeletal structure of circumcircumcircumcoronene, a hydrocarbon with the chemical formula $\mathrm{C}_{150} \mathrm{H}_{30}$, is shown below.

Each line segment between two atoms is at least a single bond. However, since each carbon (C) requires exactly four bonds connected to it and each hydrogen $(\mathrm{H})$ requires exactly one bond, some of the line segments are actually double bonds. How many arrangements of single/double bonds are there such that the above requirements are satisfied? If the correct answer is $C$ and your answer is $A$, you get $\max \left(\left[30\left(1-\left|\log _{\log _{2} C} \frac{A}{C}\right|\right)\right], 0\right)$ points.