
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 real numbers $a$, $b$, define $\min\{a, b\} =$ the smaller of $a$ and $b$. Let the function $f(x) = -x + 3$, $g(x) = \log_2 x$, then the maximum value of the function $h(x) = \min\{f(x), g(x)\}$ is $\boxed{1}$.

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