
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 regular dodecagon (12-sided polygon) is exactly enclosed by 12 regular polygons, each with an increasing number of sides starting from 3, consecutively (i.e., 3 sides, 4 sides, ... up to 14 sides). What is the number of sides of the polygon that shares a vertex only with the polygon having the maximum number of sides?
A) 12
B) 13
C) 14
D) 15

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