
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]


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Given that \( Z_1, Z_2, \cdots, Z_{20} \) are the complex numbers corresponding to the 20 vertices of a regular 20-sided polygon inscribed in the unit circle in the complex plane, determine the number of distinct points corresponding to the complex numbers \( Z_1^{1995}, Z_2^{1995}, \cdots, Z_{20}^{1995} \).

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