
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
Form all the $n$-length words from a $k$ element alphabet where each word consists of distinct letters. In the resulting graph, connect two such words with an edge if they differ in exactly one position. What is the diameter of the resulting graph?

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