
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
Define a function $g(x)$, for positive integer values of $x$, by
\[
g(x) = \left\{\begin{aligned} 
\log_2 x & \quad \text{ if } \log_2 x \text{ is an integer} \\
1 + g(x + 1) & \quad \text{ otherwise}.
\end{aligned} \right.
\]
Compute $g(200)$.

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