
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
A four-digit natural number $m$, if the difference between its thousands digit and tens digit is $2$, and the difference between its hundreds digit and units digit is $1$, then $m$ is called a "cross-subtracting number". For example, the smallest "cross-subtracting number" is ______; Given a "cross-subtracting number" $m$ that is divisible by $9$, let the sum of its thousands digit and units digit be denoted as $s$, and the difference between its hundreds digit and tens digit be denoted as $t$. When $\frac{s}{t}$ is an integer, the maximum value of $m$ that satisfies the condition is ______.

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