
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
Maximum number. Let there be a set of distinct complex numbers \( z_i, i=1, 2, \ldots, n \), that satisfy the inequality

\[ 
\min _{i \neq j}\left|z_{i}-z_{j}\right| \geqslant \max _{i}\left|z_{i}\right|
\]

Find the maximum possible \( n \) and, for this \( n \), all sets that satisfy the problem condition.

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