
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 circle is inscribed in a 2 by 2 square. Four squares are placed on the corners (the spaces between the circle and the square), in such a way that one side of each smaller square is tangent to the circle, and two of the vertices of each smaller square lie on the sides of the larger square. Find the total area of the four smaller squares.

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