
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 $m\in \mathbb{R}$, let proposition $p$ be: for any $x \in [-1,1]$, the inequality $m^2-3x-x+1 \leq 0$ always holds; let proposition $q$ be: there exists $x \in [-1,1]$, such that $m-ax \leq 0$ holds.

(I) When $a=1$, and proposition $p$ and $q$ are both false, whereas either $p$ or $q$ is true, find the range of values for $m$.

(II) If proposition $p$ is a sufficient but not necessary condition for proposition $q$, find the range of values for the real number $a$.

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