
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 balls of five different colors: red, yellow, blue, white, and black, into pockets of the same five colors. However, the red ball cannot be placed into the red pocket. How many different ways are there to do this?

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