
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
On a rectangular chessboard filled with chess pieces, two players, A and B, alternately remove pieces according to the following rules: In any row or column, they can remove any number of consecutive pieces (i.e., they cannot skip spaces), but they must take at least one piece each turn and cannot remove pieces from multiple rows or columns simultaneously. The game ends when all pieces on the board have been removed, and the player who takes the last piece wins. Given the chessboard configuration shown below, if the first player has a winning strategy, what moves should the first player make in the initial step to ensure victory?

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