
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 butterfly starts on the edge of a circular garden with a radius of 75 feet. It flutters straight across the garden to the opposite edge through the garden's center, then directly to another point on the edge without returning through the center. The final part of its path is straight back to the starting point and is 100 feet long. Calculate the total distance the butterfly flutters.

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