
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 new function \( g \) on positive integers as follows:
\[ g(n) = \left\{
\begin{array}{cl}
n + 15 & \text{if \( n < 15 \)}, \\
g(n - 7) & \text{if \( n \ge 15 \)}.
\end{array}
\right. \]
Find the maximum value of the function \( g \).

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