
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
An alphabet consists of  $n$  letters. What is the maximal length of a word if we know that any two consecutive letters  $a,b$  of the word are different and that the word cannot be reduced to a word of the kind  $abab$  with  $a\neq b$  by removing letters.

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