
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
$n$ students are seated in a circle and numbered sequentially in a clockwise direction as $1, 2, \cdots, n$. Starting with the student numbered 1, they take turns counting in a clockwise direction. Each time a student calls an even number, that student leaves the circle and the next student continues with the next number. What is the number of the last student remaining in their seat?

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