
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 4 identical white balls and 5 identical black balls into 3 different boxes, with each box containing at least one white ball and one black ball, and the number of balls in each box cannot be less than 2. Calculate the total number of different arrangements.

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