
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
There are 20 complex numbers corresponding to the vertices of a regular 20-sided polygon inscribed in the unit circle on the complex plane, labeled $z_{1}, z_{2}, \cdots, z_{20}$. Calculate the number of distinct points that the complex numbers $z_{1}^{1995}, z_{2}^{1995}, \cdots, z_{20}^{1995}$ correspond to.

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