
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
Vasya names natural numbers not exceeding 20 according to the following rules: each subsequent number must be greater than all previously named numbers and cannot be the sum of any two already named numbers. What could be the maximum sum of the numbers named by Vasya?

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