
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
Let $f(x)$ be an odd function defined on $R$ such that for all $x \in R$, $f(x) + f(4-x) = 0$. Also, when $0 < x < 2$, $f(x) = x^{2} - 2^{x}$. Find $\sum_{i=1}^{2023}|f(i)|$.

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