
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
 $1991$  students sit around a circle and play the following game. Starting from some student  $A$  and counting clockwise, each student on turn says a number. The numbers are  $1,2,3,1,2,3,...$  A student who says  $2$  or  $3$  must leave the circle. The game is over when there is only one student left. What position was the remaining student sitting at the beginning of the game?

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