
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 constructed, and another square is formed inside it by connecting the midpoints of each side of the larger square. If the area of the larger square is 100, what is the area of the smaller square formed inside?

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