
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 that the function $f(x)= \frac{b-2^{x}}{2^{x+1}+a}$ with domain $\mathbb{R}$ is an odd function.
(I) Find the values of $a$ and $b$;
(II) Solve the inequality $f(t^{2}-2t)+f(2t^{2}-1) < 0$ with respect to $t$.

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