
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
If $\left(1+x\right)\left(1-2x\right)^{2023}=a_{0}+a_{1}x+a_{2}x^{2}+\cdots +a_{2024}x^{2024}$, where $a_{i}\in R\left(i=0,1,2,\cdots ,2024\right)$, then $a_{1}+a_{2}+\cdots +a_{2024}=\_\_\_\_\_\_$.

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