
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 \(\left(x_{n}\right)\) is defined by the recurrence relations

$$
x_{1}=1, \, x_{2}=2, \, x_{n}=\left|x_{n-1}-x_{n-2}\right| \, \text{for} \, n > 2.
$$

Find \(x_{1994}\).

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