
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 300 students standing in a line. Starting from the first one, they count off from 1 to 3. After everyone has finished counting, those who counted off multiples of 3 leave the line. The remaining students close ranks and form a new line, and the process is repeated under the same rules until only 3 students are left. What was the initial position of the third person among the final 3 students?

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