
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 has two of its vertices on a semicircle and the other two on the diameter of the semicircle as shown. The radius of the circle is 1. Calculate the area of the square.

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