
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
If the function $f(x)=a^{x}(a > 0,a\neq 1)$ has a maximum value of $4$ on the interval $[-2,1]$ and a minimum value of $m$, and the function $g(x)=(1-4m) \sqrt{x}$ is decreasing on the interval $[0,+\infty)$, then the value of $a$ is.

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