
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 the equation $1+x+x^{2}+x^{3}=a_{0}+a_{1}(1-x)+a_{2}(1-x)^{2}+a_{3}(1-x)^{3}$ holds for all $x\in R$, where $a_{0}$, $a_{1}$, $a_{2}$, $a_{3}$ are real constants, then the value of $a_{1}+a_{2}+a_{3}$ is ____.

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