
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 circumscribed around quadrilateral \(A B C D\) with center at point \(O\). The diagonals of the quadrilateral are perpendicular. Find the length of side \(B C\) if the distance from point \(O\) to side \(A D\) is equal to 1.

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