
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 that the function $f(x)$ is an odd function defined on $R$, and for any non-zero real number $m$, we have $f(\frac{1}{m}) \cdot f(m) = 1$. When $x > 1$, $f(x) = e^{x} - ax^{2} + x - 1$. If the range of $f(x)$ is $R$, then the range of $a$ is ______. (You may refer to the inequality conclusion: $(x-2)e^{x} - x + 4 > 0$ always holds.)

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