
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 $f\left(x\right)=e^{x}-2ax-e+1$.  
$(Ⅰ)$ If $a=2$, find the minimum value of $f\left(x\right)$;  
$(Ⅱ)$ If the graph of $f\left(x\right)$ intersects the line $y=-a$ at two distinct points in the interval $\left(0,1\right)$, find the range of values for $a$. Reference data: $\sqrt{e}\approx 1.65$.

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