
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 has chosen a natural number \( n \leq 2020 \). Petya tries to guess it by naming a natural number \( x \) and asking if the chosen number is greater than \( x \) (whether \( x < n \)). Vasya answers either "yes" or "no". Petya wins if he determines the number. However, Petya loses if he receives a "no" response for the second time and cannot name the chosen number. What is the minimum number of questions Petya needs to ask to guarantee a win?

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