
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 9x9 chessboard (a pawn, regardless of its color, can be placed on any square of the board) so that no pawn attacks any other pawn (including those of its own color)? A white pawn attacks the two neighboring diagonal squares on the adjacent rank with a higher number, and a black pawn attacks the two neighboring diagonal squares on the adjacent rank with a lower number.

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