
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: $p: x^2 - 8x - 20 \leqslant 0$, $q: 1 - m^2 \leqslant x \leqslant 1 + m^2$

(1) If $p$ is a necessary condition for $q$, find the range of values for $m$.

(2) If $\lnot p$ is a necessary but not sufficient condition for $\lnot q$, find the range of values for $m$.

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