
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
What is the maximum number of white and black pawns that can be placed on a $9 \times 9$ chessboard (a pawn, regardless of its color, can be placed on any cell of the board) so that none of the pawns attack any other (including pawns of the same color)? A white pawn attacks two adjacent diagonal cells on the next row with a larger number, and a black pawn attacks two adjacent diagonal cells on the next row with a smaller number.

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