
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
Two players, A and B, take turns removing stones from a pile of \( n \) stones. Player A starts first and can take any number of stones, but must take at least one and not all of them. Following this, each player must take a number of stones that is a divisor of the number of stones the other player took in the previous turn. The player who takes the last stone wins. What is the smallest value of \( n > 1992 \) for which player B has a winning strategy?

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