
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 "p-pointed regular star," all $2p$ edges are congruent, and the stars form angles at points $C_1, C_2, \dots, C_p$ and $D_1, D_2, \dots, D_p$. Every angle at $C_i$ is $15^\circ$ more than at every $D_i$. Calculate the number of points $p$ in the star, given that sum of these external angles for the star totals $360^\circ$.
A) 12
B) 18
C) 24
D) 36
E) 60

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