
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 $f(x)$ is an odd function defined on the interval $[-1,1]$ with $f(-1)=1$, and $\frac{f(m)+f(n)}{m+n} < 0$ when $m, n \in [-1,1]$ and $m+n \neq 0$.
1. Solve the inequality $f(x+\frac{1}{2}) < f(1-x)$;
2. If $f(x) \leq t^2 - 2at + 1$ holds for all $x \in [-1,1]$ and $a \in [-1,1]$, find the range of values for the real number $t$.

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