
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
Given four different balls numbered 1, 2, 3, and 4, and three different boxes numbered 1, 2, and 3, determine the number of ways the balls can be placed such that ball number 1 is not in box number 1 and ball number 3 is not in box number 3.

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