
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
The PE teacher places 9 identical soccer balls into three boxes numbered 1, 2, and 3, with the requirement that the number of balls in each box is not less than its number. How many different ways are there to place the balls?

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