
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
A sequence $b_1, b_2, \ldots$ of non-negative integers is defined by $b_{n+2}=|b_{n+1}-b_n|$ for $n\geq1$. Let $b_1=950$, $b_2 < 950$, and $b_{2010}=0$. Determine how many different values of $b_2$ are possible if $b_{1008}=1$.

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