
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
There are 2012 students lined up in a row and numbered sequentially from 1 to 2012 from left to right. In the first round, the students count off "1, 2", and the students who count off 2 remain. Starting from the second round, the remaining students count off "1, 2, 3", and the students who count off 3 remain. This process continues until only one student is left. What is the number of this last remaining student?

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