
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
Every natural number \( n \) greater than 2 can be expressed as the sum of some number of pairwise distinct natural numbers. Let the maximum number of such terms be denoted as \( A(n) \). Find \( A(n) \) (expressed in terms of \( n \)).

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