
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
(Full score: 10 points)

Given _p_: ≤2, _q_: $x^2 - 2x + 1 - m^2 \leq 0$ ($m > 0$), if the negation of _p_ is a necessary but not sufficient condition for the negation of _q_, find the range of values for the real number _m_.

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