
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
Four friends have a total of 10 identical pencils, each having at least one pencil, and no one can have more than twice the number of pencils that any other friend possesses. How many ways can the pencils be distributed among the friends?

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