
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
There are 100 boxes numbered from 1 to 100. One box contains a prize, and the host knows where the prize is. The viewer can send a batch of notes with yes-or-no questions to the host. The host shuffles the notes without announcing the questions and honestly answers all of them. What is the minimum number of notes that need to be sent to definitely find out where the prize is?

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