
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 the function $f(x)=x^{2}-2x+2a$, the solution set of $f(x)\leqslant 0$ is $\{x|-2\leqslant x\leqslant m\}$.  
(I) Find the values of $a$ and $m$;  
(II) If the inequality $(c+a)x^{2}+2(c+a)x-1 < 0$ always holds for $x$, find the range of the real number $c$.

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