
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
Let the constant $a\in\mathbb{R}$, and the function $f(x)=(a-x)|x|$.
- (I) If $a=1$, find the intervals of monotonicity for $f(x)$;
- (II) If $f(x)$ is an odd function, and the inequality $mx^{2}+m > f[f(x)]$ holds for all $x\in[-2,2]$, find the range of the real number $m$.

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