
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
The sequence {a_n} has 11 terms, with a_1=0 and a_11=4, and it satisfies |a_(k+1)-a_k|=1 for k=1,2, ..., 10. Determine the number of different sequences that meet these conditions.

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