
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 starts on the edge of a ceiling of a circular room with a radius of 60 feet. The fly first walks straight across the ceiling to the opposite edge, crossing through the center of the circle. Next, it walks to another point on the edge of the circle, forming a right triangle without passing through the center. The third part of the journey straight back to the starting point is 90 feet long. Calculate the total distance the fly traveled during these three segments.

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