
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
Given that a fly is 3 meters from one wall, 7 meters from the other wall, and 10 meters from point P where two walls and the ceiling meet at a right angle, calculate the distance of the fly from the ceiling.

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