
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 geometric problem. Given an ellipse with the length of the major axis equal to $2a$ and the length of the minor axis equal to $2b$. Draw a closed curve of the same length as the ellipse that encloses an area greater than the area of the ellipse by $(a-b)^{2}$.

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