
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 \leq 0\\), \\(q: x^2 - 2x + 1 - m^2 \leq 0 (m > 0)\\). If the negation of \\(p\\) is a sufficient but not necessary condition for the negation of \\(q\\), find the range of the real number \\(m\\).

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