
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
Twenty Questions. I propose a variation of the well-known game "Twenty Questions". I think of a natural number, and you have to guess it by asking no more than twenty questions, each of which can only be answered with "yes" or "no". What is the largest number I can choose so that you can still correctly determine it after asking twenty questions?

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