
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 fly lands on the edge of a circular room's ceiling, which has a radius of 75 feet. It walks directly across the ceiling to the opposite edge, moving through the circle's center. Then, it moves straight to another point on the edge of the circle, not passing through the center this time. The final segment of the walk, returning to the starting point, measures 100 feet. How much distance does the fly cover in its entire journey?

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