
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
Monsieur and Madame Dubois went for a walk with their dog. Each of them wanted to hold the leash themselves. Therefore, they eventually attached two leashes, each 1 meter long, to the dog's collar. Suppose Monsieur and Madame Dubois walk a constant distance of 1 meter apart.

What is the area that the dog can freely roam at any given time?

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