
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 equal non-convex polygons into which a square can be divided so that all sides of the polygons are parallel to the sides of the square and none of these polygons can be obtained from one another by parallel translation?

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