
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
Three circles have the same center O. Point Y is the midpoint of segment OQ, and point Z is the midpoint of segment OY. What is the ratio of the area of the circle with radius OZ to the area of the circle with radius OQ?

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