
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 $f(x)=(2-x)e^{x}+a(x-1)^{2}$, where $a\in \mathbb{R}$,
1. Discuss the intervals of monotonicity for the function $f(x)$.
2. If $f(x) \leqslant 2e^{x}$ for all $x\in \mathbb{R}$, find the range of values for $a$.

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