
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 square is inscribed in a circle with a radius of 5. A point on the circumference of the circle is marked, and the distance from this point to one of the vertices of the square is 6. Find the distances from this point to the three other vertices of the square.

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