
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
In a class of 54 students, the selection situation for the elective topics "Selected Lectures on Geometric Proofs" and "Polar Coordinates and Parametric Equations" is as follows (each student selects at least one topic): 6 students selected both topics, and the number of students who selected "Polar Coordinates and Parametric Equations" is 8 more than those who selected "Selected Lectures on Geometric Proofs". How many students selected only "Selected Lectures on Geometric Proofs"?

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