
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
Perform a "reposition transformation" on a 4-digit decimal natural number $n$, where $a$ is the number of digits of $n$, $b$ is the number of odd digits, and $c$ is the number of even digits. These are concatenated to form a new decimal natural number $n'$. Determine the behavior of the value of $n$ after continuously applying this transformation.

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