
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  $a_0,a_1,a_2,\dots$  be a sequence of nonnegative integers such that  $a_2=5$ ,  $a_{2014}=2015$ , and  $a_n=a_{a_{n-1}}$  for all positive integers  $n$ . Find all possible values of  $a_{2015}$ .

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