
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
How many rearrangements of the string $wwxyz$ are there in which no two adjacent letters are also adjacent in the alphabet and the string contains at least one pair of repeated letters?

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