
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
$(1-2x)^{2023}=a_{0}+a_{1}x+a_{2}x^{2}+\ldots +a_{2023}x^{2023}$ ($x\in R$). Find the value of $(a_{1}+a_{2}+a_{3}+\ldots +a_{2023})$. Find the value of $(|a_{0}|+|a_{1}|+|a_{2}|+\ldots +|a_{2023}|)$.

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