
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
For any 2016 complex numbers \( z_1, z_2, \ldots, z_{2016} \), it holds that
\[ 
\sum_{k=1}^{2016} |z_k|^2 \geq \lambda \min_{1 \leq k \leq 2016} \{ |z_{k+1} - z_k|^2 \}, 
\]
where \( z_{2017} = z_1 \). Find the maximum value of \( \lambda \).

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