
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 point \( P \) is at the center of a square with a side length of \( 10 \mathrm{~cm} \). How many points on the border of the square are at a distance of \( 6 \mathrm{~cm} \) from \( P \)?

(a) 1  
(b) 2  
(c) 4  
(d) 6  
(e) 8

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