
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
Numbers from 1 to 8 are arranged in a circle. We call a number "big" if it is greater than its neighbors, and "small" if it is less than its neighbors. In the arrangement, each number is either big or small. What is the smallest possible sum of the big numbers?

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