
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 larger square is inscribed in a circle. Adjacent to it, a smaller square has one side coinciding with a side of the larger square and has two vertices on the circle. What percent of the area of the larger square is the area of the smaller square?

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