
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} consists of 5 terms, where a_1 = 0, a_5 = 2, and |a_{i+1} - a_i| = 1 for i=1, 2, 3, 4. Determine the number of different sequences that satisfy these conditions.

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