
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
Given that a circle is divided into 16 equal sectors with sector angles that form an arithmetic sequence and sum to 450 degrees, find the minimum possible size for the smallest sector angle.

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