
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
A PE teacher places 9 identical soccer balls into three boxes labeled 1, 2, and 3. Each box must contain at least as many balls as its label number. How many different ways are there to distribute the balls among the boxes?

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