
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
If the two foci of an ellipse and the endpoints of its minor axis are on the unit circle, then the side length of the inscribed square of this ellipse is \_\_\_\_\_\_.

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