
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 $f(x)=\frac{{4}^{x}}{2+{4}^{x}}$, then for any real number $x$, $f(x)+f(1-x)=$______; and $f(\frac{1}{2023})+f(\frac{2}{2023})+⋯+f(\frac{2021}{2023})+f(\frac{2022}{2023})=\_\_\_\_\_\_$.

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