
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 the symbol "$f$" represents an operation, and its results on some numbers are as follows: $f(1)=2, f(2)=4, f(3)=6, \ldots$, and $f(\frac{1}{2})=2, f(\frac{1}{3})=3, f(\frac{1}{4})=4, \ldots$. Calculate $f(2023)-f(\frac{1}{2023})$.

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