
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 Cartesian plane, where each unit measures one meter, a dog is tied to a post located at point $(2,5)$ using an $8$ meter long rope. The dog is confined to move only within a rectangle defined by the vertices $(0, 0)$, $(0,10)$, $(10,0)$ and $(10,10)$. What is the greatest distance the dog can be from the origin?

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