
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 \( a_{0}, a_{1}, \dots \) is defined as follows:

\[ a_{0} = 1995, \]
\[ a_{n} = n a_{n-1} + 1, \quad \text{for } n \geq 1. \]

What is the remainder when \( a_{2000} \) is divided by 9?

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