
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
When the three-digit integer $MMK$, where $M$ and $K$ are digits and $M = K + 1$, is multiplied by the one-digit integer $M$, the result is the four-digit integer $NPMK$. What is the greatest possible value of $NPMK$?

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