
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
Amerigo Vespucci extended his map to include Denver. On this new map, which still accurately represents distances, Los Angeles corresponds to \(0\) on the complex plane, Boston is at \(3200i\), and Denver is placed at \(1200 + 1600i\). Determine the distance from Denver to Los Angeles.

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