
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
How many methods to write down the array of the positive integers such that :
Write down  $2012$  in the first place, in the last  $1$ .
Note : The next to  $n$  is written a positive number which is less than  $\sqrt{n}$ .

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