
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 square table has sides of 1 meter each. What is the smallest diameter (in meters) of a round tablecloth that can completely cover the tabletop?
(a) 1
(b) 1.5
(c) 2
(d) $\sqrt{2}$
(e) $\sqrt{3}$

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