
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 bee starts at a point on the edge of a hemispherical dome with a radius of 50 feet. It flies straight across the upper surface of the dome to the opposite edge (point directly across from the starting point), which passes through the center of the hemisphere. The bee then flies straight to another point on the edge of the dome surface, not passing through the center. The third part of the flight, which takes the bee back to the starting point, is 90 feet long. Calculate the total footflight of the bee during this journey.

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