
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 two piles of stones, one with 11 stones and the other with 13 stones, noted as $(11,13)$. Two players, A and B, take turns to remove stones according to the following rules: 
- A player can take any number of stones from one of the piles.
- A player can also take the same number of stones from both piles.
- A player cannot skip their turn.

The player who takes the last stone wins the game. If player A goes first, what should be the first move for player A to ensure a win?

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