
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 36 students numbered from 1 to 36 standing in a circle facing inward. On the first turn, the student numbered 1 turns around. On the second turn, the students numbered 2 and 3 turn around. On the third turn, the students numbered 4, 5, and 6 turn around, and so on. On the 36th turn, all students turn around. How many students are still facing inward after these turns?

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