
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
In the process of filming explosive scenes in movies, to achieve realistic effects, it is necessary to repeatedly experiment with the amount of a certain chemical added to the explosives. According to experience, the effect of the experiment is a unimodal function of the amount of the chemical added. To determine the best effect, the plan is to use the Fibonacci search method to find the best point among 33 experimental points. The maximum number of experiments required is.

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