
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
Master Wang originally planned to start from point $A$ on a circular road with a circumference of 400 meters and install a streetlamp every 50 meters. Each lamp requires digging a hole to bury the lamp post.
(1) According to the original plan, how many holes does Master Wang need to dig?
(2) After following the original plan and digging all the holes, Master Wang felt that the distance between the streetlamps was too far. He decided to change the plan to install a streetlamp every 40 meters starting from point $A$. How many additional holes does Master Wang need to dig?

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