
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
In a fictional universe, a city called New Detroit is mapped to the origin in the complex plane. Hyper York corresponds to the point $1560i$ on the same complex plane. The location of Quantum Vegas is $1300 + 3120i$. Determine the distance from Quantum Vegas to New Detroit.

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