
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

We say that three distinct natural numbers form an additive triplet if the sum of the first two is equal to the third. Find, with reasoning, the maximum number of additive triplets that can exist in a given set of 20 natural numbers.

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