
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
Given that the physical education teacher has 9 identical footballs to be placed into three boxes labeled 1, 2, and 3, with the requirement that the number of footballs in each box is not less than its own label number, determine the number of different ways to place the footballs.

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