
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 positive integer $N$, with three digits in its base ten representation, is chosen at random, with each three-digit number having an equal chance of being chosen. The probability that $N$ is a perfect square is to be determined.
**A**. $1/300$  
**B**. $1/450$  
**C**. $11/450$  
**D**. $3/899$  
**E**. None of these

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