
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\\)_: \\(A=\\{ x | |x-2| \leqslant 4 \\}\\), _\\(q\\)_: \\(B=\\{x | (x-1-m)(x-1+m) \leqslant 0\\} (m > 0)\\), if the negation of _\\(p\\)_ is a necessary but not sufficient condition for the negation of _\\(q\\)_, find the range of the real number _\\(m\\)_.

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