
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 town represented by the Cartesian plane has residents Danny at $(8, -25)$ and Emma at $(-4, 19)$. They decide to meet at a point equidistant from their locations and then walk directly upwards to reach their friend Felix's location at $\left(2, 5\right)$. How many units do Danny and Emma walk upwards together to reach Felix?

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