
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 has updated his map of America on the complex plane, where distances remain true to scale. On this new map, Los Angeles still corresponds to $0$, but Boston now corresponds to $3000i$. Additionally, Knoxville corresponds to the point $900+1200i$, and a new city, Miami, corresponds to $450+1800i$. How far is it from Knoxville to Miami on this complex plane?

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