
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
In the shown diagram, fill the numbers \( 1, 2, \ldots, 10 \) into the ten circles such that the sum of the numbers in any five consecutive adjacent circles does not exceed a certain integer \( M \). Find the minimum value of \( M \) and complete your diagram.

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