
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
For a positive number $x$, it is defined that $f(x)=\frac{x}{{1+x}}$. For example, $f(2)=\frac{2}{{1+2}}=\frac{2}{3}$, $f(3)=\frac{3}{{1+3}}=\frac{3}{4}$, $f({\frac{1}{2}})=\frac{{\frac{1}{2}}}{{1+\frac{1}{2}}}=\frac{1}{3}$, $f({\frac{1}{3}})=\frac{{\frac{1}{3}}}{{1+\frac{1}{3}}}=\frac{1}{4}\ldots $ Using the above pattern, calculate: $f({\frac{1}{{2023}}})+f({\frac{1}{{2022}}})+f({\frac{1}{{2021}}})+⋯+f({\frac{1}{2}})+f(1)+f(2)+⋯+f({2021})+f({2022})+f({2023})=$____.

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