
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
A "cross shape" is obtained by removing one unit square from each corner of a $3 \times 3$ square.

In a $10 \times 11$ chessboard, what is the maximum number of non-overlapping "cross shapes" that can be placed? (Each "cross shape" covers exactly 5 small squares of the chessboard.)

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