
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 bug is on the edge of a ceiling of a circular room with a radius of 65 feet. The bug walks straight across the ceiling to the opposite edge, passing through the center of the circle. It next walks straight to another point on the edge of the circle but not back through the center. If the third part of its journey, back to the original starting point, was 100 feet long, how many total feet did the bug travel over the course of all three parts?

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