
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
You have an unlimited supply of square tiles with a side length of 1 and equilateral triangle tiles with a side length of 1. For which \( n \) can you use these tiles to create a convex \( n \)-sided polygon? The tiles must fit together without gaps and may not overlap.

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