
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
Given the sequence \(\{a_{n}\}\) where \(a_{1} = a_{2} = 1\), \(a_{3} = -1\), and \(a_{n} = a_{n-1} a_{n-3}\), find \(a_{1964}\).

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