
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
From four different balls numbered 1, 2, 3, 4, three different balls are selected and placed into three different boxes numbered 1, 2, 3, with each box containing one ball. The total number of ways to place the balls such that ball number 1 is not in box number 1 and ball number 3 is not in box number 3 is

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