
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
In $\Delta ABC$, the sides opposite to angles $A$, $B$, and $C$ are denoted as $a$, $b$, and $c$ respectively. It is given that $\sin A + \sin C = m\sin B$ $(m \in \mathbb{R})$, and $ac = \frac{1}{4}b^2$.

(I) When $m = \frac{5}{4}, b = 1$, find the values of $a$ and $c$;

(II) If angle $B$ is acute, find the range of values for $m$.

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