
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 all cubic functions $f\left(x\right)=ax^{3}+bx^{2}+cx+d\left(a\neq 0\right)$ have a center of symmetry $(-\frac{b}{{3a}},f(-\frac{b}{{3a}}))$, if the function $f\left(x\right)=-x^{3}+3x^{2}$, calculate the sum $f(\frac{1}{{2023}})+f(\frac{2}{{2023}})+f(\frac{3}{{2023}})+…+f(\frac{{4045}}{{2023}})$.

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