
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
The reverse number of a four-digit natural number in decimal system refers to the number obtained by swapping the positions of the thousandth and the unit digit, as well as the hundredth and the tenth digit. For example, the reverse number of 4852 is 2584. In 1955, D.R. Kaprekar studied a transformation on four-digit natural numbers: given a four-digit number $a_0$, rearrange its four digits from largest to smallest to form a new four-digit number $m$, then subtract its reverse number $n$ from it, obtaining $a_1 = m - n$. Continue this transformation on $a_1$ to get $a_2$, and so on. Kaprekar found that, as long as the four digits of $a_0$ are not all the same, after at most $k$ such transformations, a four-digit number $t$ will appear, before and after which the transformation remains the same. Please study the two decimal four-digit numbers 5298 and 4852, to find $k=\boxed{\text{ }}$; and the four-digit number $t=\boxed{\text{ }}$.

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