
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
Two concentric circles have the same center O. Point X is one-third of the way from O to P along segment OP. Calculate the ratio of the area of the smaller circle with radius OX to the area of the larger circle with radius OP.

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