
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A beam of light is emitted from point $A$ in a plane. It undergoes several reflections between two lines $PQ$ and $RS$ until it strikes a point $B$ on one of these lines, making a perpendicular incidence, and then returns along the same path to $A$. Each reflection obeys the law of reflection (angle of incidence equals angle of reflection). Given that $\angle PQS = 6^\circ$, determine the maximum number of reflections $n$ the light can undergo before it hits point $B$ perpendicularly and retraces its path?
A) 10
B) 12
C) 14
D) 15
E) 16

Present the answer in LaTex format: \boxed{Your answer}
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