
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
Let \( [x] \) denote the greatest integer less than or equal to the real number \( x \). Consider a sequence \( \{a_n\} \) defined by \( a_1 = 1 \) and \( a_n = \left[\sqrt{n a_{n-1}}\right] \). Find the value of \( a_{2017} \).

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