
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 10 identical balls into three boxes numbered 1, 2, and 3, ensuring that each box has at least as many balls as its box number. Calculate the number of arrangements.

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