
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
Given the inequality $x^2-5ax+b > 0$ has the solution set $\{x | x > 4 \text{ or } x < 1\}$

(1) Find the values of the real numbers $a$, $b$;

(2) If $0 < x < 1$, $f(x)= \dfrac{a}{x}+ \dfrac{b}{1-x}$, find the minimum value of $f(x)$.

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