
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 three boxes labeled 1, 2, and 3, ensuring that the number of balls in each box is at least equal to the label number of the box. Find the total number of different ways to distribute the balls among the boxes.

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