
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
Cristopher Columbus has a map of South America drawn on the complex plane, still maintaining accurate distances. Caracas corresponds to $0$ on this complex plane, and Buenos Aires corresponds to $3200i$. Meanwhile, Lima corresponds to the complex number $960 + 1280i$. How far is it from Lima to Caracas on this map?

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