
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
A map of a city where David, Emily, and Frank live can be represented by the Cartesian plane. David is located at $(10, -10)$ and Emily is located at $(-4, 22)$. They agree to meet at the closest point that is equidistant from their current locations and then walk upwards together to reach Frank's location at $(3, 10)$. How many units upward do David and Emily walk together to get to Frank?

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