
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
Place 9 identical balls into 3 distinct boxes, with each box containing at least one ball and no two boxes containing the same number of balls. Determine the number of different ways this can be done.

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