
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 $f(x)=\frac{1}{2}ax^{2}-(x-1)e^{x}$, if for any real numbers $(x_{1}, x_{2}, x_{3})$ in the interval $[0,1]$, we have $f(x_{1})+f(x_{2})\geqslant f(x_{3})$, then the range of values for the real number $a$ is ________

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