
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 starts at one point on the circumference of a semicircular arch with a radius of 40 meters. It first moves straight across the arch to the opposite point (passing through the topmost point of the semicircle). Then, it moves directly to another point on the arch, but not through the topmost point. The final part of the journey takes it back to the starting point, this time covering a distance of 50 meters. How many total meters did the bug travel?

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