
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
For any positive integer \( n \), consider the function 
\[ g(n) =\left\{\begin{matrix} \log_{4}{n}, & \text{if } \log_{4}{n} \text{ is rational,} \\ 0, & \text{otherwise.} \end{matrix}\right. \]
What is \( \sum_{n = 1}^{2023}{g(n)} \)?
A) \( \frac{55}{2} \)  
B) \( \frac{66}{3} \)  
C) \( 27.5 \)  
D) \( \frac{60}{2} \)

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